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Author Akhmediev, N.; Kibler, B.; Baronio, F.; Belic, M.; Zhong, W.P.; Zhang, Y.Q.; Chang, W.; Soto-Crespo, J.M.; Vouzas, P.; Grelu, P.; Lecaplain, C.; Hammani, K.; Rica, S.; Picozzi, A.; Tlidi, M.; Panajotov, K.; Mussot, A.; Bendahmane, A.; Szriftgiser, P.; Genty, G.; Dudley, J.; Kudlinski, A.; Demircan, A.; Morgner, U.; Amiraranashvili, S.; Bree, C.; Steinmeyer, G.; Masoller, C.; Broderick, N.G.R.; Runge, A.F.J.; Erkintalo, M.; Residori, S.; Bortolozzo, U.; Arecchi, F.T.; Wabnitz, S.; Tiofack, C.G.; Coulibaly, S.; Taki, M.
Title Roadmap on optical rogue waves and extreme events Type
Year 2016 Publication Journal Of Optics Abbreviated Journal J. Opt.
Volume 18 Issue 6 Pages 37 pp
Keywords rogue waves; extreme events; nonlinear optics
Abstract The pioneering paper 'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the new subfield in optics. This work launched a great deal of activity on this novel subject. As a result, the initial concept has expanded and has been enriched by new ideas. Various approaches have been suggested since then. A fresh look at the older results and new discoveries has been undertaken, stimulated by the concept of 'optical rogue waves'. Presently, there may not by a unique view on how this new scientific term should be used and developed. There is nothing surprising when the opinion of the experts diverge in any new field of research. After all, rogue waves may appear for a multiplicity of reasons and not necessarily only in optical fibers and not only in the process of supercontinuum generation. We know by now that rogue waves may be generated by lasers, appear in wide aperture cavities, in plasmas and in a variety of other optical systems. Theorists, in turn, have suggested many other situations when rogue waves may be observed. The strict definition of a rogue wave is still an open question. For example, it has been suggested that it is defined as 'an optical pulse whose amplitude or intensity is much higher than that of the surrounding pulses'. This definition (as suggested by a peer reviewer) is clear at the intuitive level and can be easily extended to the case of spatial beams although additional clarifications are still needed. An extended definition has been presented earlier by N Akhmediev and E Pelinovsky (2010 Eur. Phys. J. Spec. Top. 185 1-4). Discussions along these lines are always useful and all new approaches stimulate research and encourage discoveries of new phenomena. Despite the potentially existing disagreements, the scientific terms 'optical rogue waves' and 'extreme events' do exist. Therefore coordination of our efforts in either unifying the concept or in introducing alternative definitions must be continued. From this point of view, a number of the scientists who work in this area of research have come together to present their research in a single review article that will greatly benefit all interested parties of this research direction. Whether the authors of this 'roadmap' have similar views or different from the original concept, the potential reader of the review will enrich their knowledge by encountering most of the existing views on the subject. Previously, a special issue on optical rogue waves (2013 J. Opt. 15 060201) was successful in achieving this goal but over two years have passed and more material has been published in this quickly emerging subject. Thus, it is time for a roadmap that may stimulate and encourage further research.
Address [Akhmediev, Nail; Chang, Wonkeun; Vouzas, Peter] Australian Natl Univ, Opt Sci Grp, Res Sch Phys & Engn, Acton, ACT 2601, Australia, Email: Nail.Akhmediev@anu.edu.au
Corporate Author Thesis
Publisher Iop Publishing Ltd Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2040-8978 ISBN Medium
Area Expedition Conference
Notes WOS:000378065100002 Approved
Call Number UAI @ eduardo.moreno @ Serial 635
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Author Barra, F.; Lund, F.; Mujica, N.; Rica, S.
Title Shear modulus of an elastic solid under external pressure as a function of temperature: The case of helium Type
Year 2012 Publication Physical Review B Abbreviated Journal Phys. Rev. B
Volume 85 Issue 6 Pages 6 pp
Keywords
Abstract The energy of a dislocation loop in a continuum elastic solid under pressure is considered within the framework of classical mechanics. For a circular loop, this is a function with a maximum at pressures that are well within reach of experimental conditions for solid helium, suggesting, in this case, that dislocation loops can be generated by a pressure-assisted thermally activated process. It is also pointed out that pinned dislocation segments can alter the shear response of solid helium by an amount consistent with current measurements, without any unpinning.
Address [Barra, Felipe; Lund, Fernando; Mujica, Nicolas] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1098-0121 ISBN Medium
Area Expedition Conference
Notes WOS:000300086100002 Approved
Call Number UAI @ eduardo.moreno @ Serial 194
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Author Baudin, K.; Fusaro, A.; Garnier, J.; Berti, N.; Krupa, K.; Carusotto, I:, Rica, S.; Millot, G.; Picozzi, A.
Title Energy and wave-action flows underlying Rayleigh-Jeans thermalization of optical waves propagating in a multimode fiber((a)) Type
Year 2021 Publication EPL Abbreviated Journal EPL
Volume 134 Issue 1 Pages 14001
Keywords BOSE-EINSTEIN CONDENSATION; TURBULENCE; TEMPERATURE; LIGHT
Abstract The wave turbulence theory predicts that a conservative system of nonlinear waves can exhibit a process of condensation, which originates in the singularity of the Rayleigh-Jeans equilibrium distribution of classical waves. Considering light propagation in a multimode fiber, we show that light condensation is driven by an energy flow toward the higher-order modes, and a bi-directional redistribution of the wave-action (or power) to the fundamental mode and to higher-order modes. The analysis of the near-field intensity distribution provides experimental evidence of this mechanism. The kinetic equation also shows that the wave-action and energy flows can be inverted through a thermalization toward a negative temperature equilibrium state, in which the high-order modes are more populated than low-order modes. In addition, a Bogoliubov stability analysis reveals that the condensate state is stable.
Address
Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0295-5075 ISBN Medium
Area Expedition Conference
Notes WOS:000731468600008 Approved
Call Number UAI @ alexi.delcanto @ Serial 1510
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Author Baudin, K.; Fusaro, A.; Krupa, K.; Garnier, J.; Rica, S.; Millot, G.; Picozzi, A.
Title Classical Rayleigh-Jeans Condensation of Light Waves: Observation and Thermodynamic Characterization Type
Year 2020 Publication Physical Review Letters Abbreviated Journal Phys. Rev. Lett.
Volume 125 Issue 24 Pages 244101
Keywords
Abstract Theoretical studies on wave turbulence predict that a purely classical system of random waves can exhibit a process of condensation, which originates in the singularity of the Rayleigh-Jeans equilibrium distribution. We report the experimental observation of the transition to condensation of classical optical waves propagating in a multimode fiber, i.e., in a conservative Hamiltonian system without thermal heat bath. In contrast to conventional self-organization processes featured by the nonequilibrium formation of nonlinear coherent structures (solitons, vortices, ...), here the self-organization originates in the equilibrium Rayleigh-Jeans statistics of classical waves. The experimental results show that the chemical potential reaches the lowest energy level at the transition to condensation, which leads to the macroscopic population of the fundamental mode of the optical fiber. The near-field and far-field measurements of the condensate fraction across the transition to condensation are in quantitative agreement with the Rayleigh-Jeans theory. The thermodynamics of classical wave condensation reveals that the heat capacity takes a constant value in the condensed state and tends to vanish above the transition in the normal state. Our experiments provide the first demonstration of a coherent phenomenon of self-organization that is exclusively driven by optical thermalization toward the Rayleigh-Jeans equilibrium.
Address
Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0031-9007 ISBN Medium
Area Expedition Conference
Notes Approved
Call Number UAI @ alexi.delcanto @ Serial 1318
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Author Canals, C.; Goles, E.; Mascareno, A.; Rica, S.; Ruz, G.A.
Title School Choice in a Market Environment: Individual versus Social Expectations Type
Year 2018 Publication Complexity Abbreviated Journal Complexity
Volume 3793095 Issue Pages 11 pp
Keywords
Abstract School choice is a key factor connecting personal preferences (beliefs, desires, and needs) and school offer in education markets. While it is assumed that preferences are highly individualistic forms of expectations by means of which parents select schools satisfying their internal moral standards, this paper argues that a better matching between parental preferences and school offer is achieved when individuals take into account their relevant network vicinity, thereby constructing social expectations regarding school choice. We develop two related models (individual expectations and social expectations) and prove that they are driven by a Lyapunov function, obtaining that both models converge to fixed points. Also, we assess their performance by conducting computational simulations. While the individual expectations model shows a probabilistic transition and a critical threshold below which preferences concentrate in a few schools and a significant amount of students is left unattended by the school offer, the social expectations model presents a smooth dynamics in which most of the schools have students all the time and no students are left out. We discuss our results considering key topics of the empirical research on school choice in educational market environments and conclude that social expectations contribute to improve information and lead to a better matching between school offer and parental preferences.
Address [Canals, Catalina; Goles, Eric; Rica, Sergio; Ruz, Gonzalo A.] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Av Diagonal Las Torres 2640, Santiago, Chile, Email: gonzalo.ruz@uai.cl
Corporate Author Thesis
Publisher Wiley-Hindawi Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1076-2787 ISBN Medium
Area Expedition Conference
Notes WOS:000454095100001 Approved
Call Number UAI @ eduardo.moreno @ Serial 955
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Author Clerc, M.G.; Rica, S.; Tredicce, J.
Title Instabilities and Non-equilibrium Structures. On the occasion of the 60th birthday of Pierre Coullet Type
Year 2011 Publication European Physical Journal D Abbreviated Journal Eur. Phys. J. D
Volume 62 Issue 1 Pages 1-4
Keywords
Abstract
Address [Clerc, M. G.] Univ Chile, FCFM, Dept Fis, Santiago, Chile, Email: sergio.rica@gmail.com
Corporate Author Thesis
Publisher Springer Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1434-6060 ISBN Medium
Area Expedition Conference
Notes WOS:000289735000001 Approved
Call Number UAI @ eduardo.moreno @ Serial 142
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Author Cortez, V.; Medina, P.; Goles, E.; Zarama, R.; Rica, S.
Title Attractors, statistics and fluctuations of the dynamics of the Schelling's model for social segregation Type
Year 2015 Publication European Physical Journal B Abbreviated Journal Eur. Phys. J. B
Volume 88 Issue 1 Pages 12 pp
Keywords
Abstract Statistical properties, fluctuations and probabilistic arguments are shown to explain the robust dynamics of the Schelling's social segregation model. With the aid of probability density functions we characterize the attractors for multiple external parameters and conditions. We discuss the role of the initial states and we show that, indeed, the system evolves towards well defined attractors. Finally, we provide probabilistic arguments to explain quantitatively the observed behavior.
Address [Cortez, Vasco; Goles, Eric; Rica, Sergio] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: sergio.rica@gmail.com
Corporate Author Thesis
Publisher Springer Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1434-6028 ISBN Medium
Area Expedition Conference
Notes WOS:000348059300001 Approved
Call Number UAI @ eduardo.moreno @ Serial 436
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Author Domic, N.G.; Goles, E.; Rica, S.
Title Dynamics and complexity of the Schelling segregation model Type
Year 2011 Publication Physical Review E Abbreviated Journal Phys. Rev. E
Volume 83 Issue 5 Pages 13 pp
Keywords
Abstract In this paper we consider the Schelling social segregation model for two different populations. In Schelling's model, segregation appears as a consequence of discrimination, measured by the local difference between two populations. For that, the model defines a tolerance criterion on the neighborhood of an individual, indicating wether the individual is able to move to a new place or not. Next, the model chooses which of the available unhappy individuals really moves. In our work, we study the patterns generated by the dynamical evolution of the Schelling model in terms of various parameters or the initial condition, such as the size of the neighborhood of an inhabitant, the tolerance, and the initial number of individuals. As a general rule we observe that segregation patterns minimize the interface of zones of different people. In this context we introduce an energy functional associated with the configuration which is a strictly decreasing function for the tolerant people case. Moreover, as far as we know, we are the first to notice that in the case of a non-strictly-decreasing energy functional, the system may segregate very efficiently.
Address [Goles Domic, Nicolas] Univ Tecn Federico Santa Maria, Dept Informat, Santiago, Chile
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1539-3755 ISBN Medium
Area Expedition Conference
Notes WOS:000290725800001 Approved
Call Number UAI @ eduardo.moreno @ Serial 146
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Author During, G.; Josserand, C.; Krstulovic, G.; Rica, S.
Title Strong turbulence for vibrating plates: Emergence of a Kolmogorov spectrum Type
Year 2019 Publication Physical Review Fluids Abbreviated Journal Phys. Rev. Fluids
Volume 4 Issue 6 Pages 12 pp
Keywords
Abstract In fluid turbulence, energy is transferred from one scale to another by an energy cascade that depends only on the energy-dissipation rate. It leads by dimensional arguments to the Kolmogorov 1941 (K41) spectrum. Here we show that the normal modes of vibrations in elastic plates also manifest an energy cascade with the same K41 spectrum in the fully nonlinear regime. In particular, we observe different patterns in the elastic deformations such as folds, developable cones, and even more complex stretching structures, in analogy with spots, swirls, vortices, and other structures in hydrodynamic turbulence. We show that the energy cascade is dominated by the kinetic contribution and that the stretching energy is at thermodynamical equilibrium. We characterize this energy cascade, the validity of the constant energy-dissipation rate over the scales. Finally, we discuss the role of intermittency using the correlation functions that exhibit anomalous exponents.
Address [During, Gustavo] Pontificia Univ Catolica Chile, Inst Fis, Casilla 306, Santiago, Chile, Email: sergio.rica@uai.cl
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2469-990x ISBN Medium
Area Expedition Conference
Notes WOS:000471999200003 Approved
Call Number UAI @ eduardo.moreno @ Serial 1025
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Author During, G.; Josserand, C.; Rica, S.
Title Self-similar formation of an inverse cascade in vibrating elastic plates Type
Year 2015 Publication Physical Review E Abbreviated Journal Phys. Rev. E
Volume 91 Issue 5 Pages 10 pp
Keywords
Abstract The dynamics of random weakly nonlinear waves is studied in the framework of vibrating thin elastic plates. Although it has been previously predicted that no stationary inverse cascade of constant wave action flux could exist in the framework of wave turbulence for elastic plates, we present substantial evidence of the existence of a time-dependent inverse cascade, opening up the possibility of self-organization for a larger class of systems. This inverse cascade transports the spectral density of the amplitude of the waves from short up to large scales, increasing the distribution of long waves despite the short-wave fluctuations. This dynamics appears to be self-similar and possesses a power-law behavior in the short-wavelength limit which significantly differs from the exponent obtained via a Kolmogorov dimensional analysis argument. Finally, we show explicitly a tendency to build a long-wave coherent structure in finite time.
Address [Duering, Gustavo] Pontificia Univ Catolica Chile, Fac Fis, Santiago, Chile
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2470-0045 ISBN Medium
Area Expedition Conference
Notes WOS:000354983600007 Approved
Call Number UAI @ eduardo.moreno @ Serial 493
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Author During, G.; Josserand, C.; Rica, S.
Title Wave turbulence theory of elastic plates Type
Year 2017 Publication Physica D-Nonlinear Phenomena Abbreviated Journal Physica D
Volume 347 Issue Pages 42-73
Keywords Wave turbulence; Elastic plates; Kinetic equation; Numerical simulations
Abstract This article presents the complete study of the long-time evolution of random waves of a vibrating thin elastic plate in the limit of small plate deformation so that modes of oscillations interact weakly. According to the wave turbulence theory a nonlinear wave system evolves in longtime creating a slow redistribution of the spectral energy from one mode to another. We derive step by step, following the method of cumulants expansion and multiscale asymptotic perturbations, the kinetic equation for the second order cumulants as well as the second and fourth order renormalization of the dispersion relation of the waves. We characterize the non-equilibrium evolution to an equilibrium wave spectrum, which happens to be the well known Rayleigh-Jeans distribution. Moreover we show the existence of an energy cascade, often called the Kolmogorov-Zakharov spectrum, which happens to be not simply a power law, but a logarithmic correction to the Rayleigh Jeans distribution. We perform numerical simulations confirming these scenarii, namely the equilibrium relaxation for closed systems and the existence of an energy cascade wave spectrum. Both show a good agreement between theoretical predictions and numerics. We show also some other relevant features of vibrating elastic plates, such as the existence of a self-similar wave action inverse cascade which happens to blow-up in finite time. We discuss the mechanism of the wave breakdown phenomena in elastic plates as well as the limit of strong turbulence which arises as the thickness of the plate vanishes. Finally, we discuss the role of dissipation and the connection with experiments, and the generalization of the wave turbulence theory to elastic shells. (C) 2017 Elsevier B.V. All rights reserved.
Address [During, Gustavo] Pontificia Univ Catolica Chile, Fac Fis, Casilla 306, Santiago, Chile, Email: christophe.josserand@upmc.fr
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0167-2789 ISBN Medium
Area Expedition Conference
Notes WOS:000399856000004 Approved
Call Number UAI @ eduardo.moreno @ Serial 728
Permanent link to this record
 

 
Author During, G.; Picozzi, A.; Rica, S.
Title Breakdown of weak-turbulence and nonlinear wave condensation Type
Year 2009 Publication Physica D-Nonlinear Phenomena Abbreviated Journal Physica D
Volume 238 Issue 16 Pages 1524-1549
Keywords Weak-turbulence theory; Nonlinear Schrodinger equation; Wave condensation
Abstract The formation of a large-scale coherent structure (a condensate) as a result of the long time evolution of the initial value problem of a classical partial differential nonlinear wave equation is considered. We consider the nonintegrable and unforced defocusing NonLinear Schrodinger (NLS) equation as a representative model. In spite of the formal reversibility of the NLS equation, the nonlinear wave exhibits an irreversible evolution towards a thermodynamic equilibrium state. The equilibrium state is characterized by a homogeneous solution (condensate), with small-scale fluctuations superposed (uncondensed particles), which store the information necessary for “time reversal”. We analyze the evolution Of the cumulants of the random wave as originally formulated by DJ. Benney and P.G. Saffman [D.J. Bentley, P.G. Saffman, Proc. Roy. Soc. London A 289 (1966) 301] and A.C. Newell [A.C. Newell, Rev. Geophys. 6 (1968) 1]. This allows us to provide a self-consistent weak-turbulence theory of the condensation process, in which the nonequilibrium formation of the condensate is a natural consequence of the spontaneous regeneration of a non-vanishing first-order cumulant in the hierarchy of the cumulants' equations. More precisely, we show that in the presence of a small condensate amplitude, all relevant statistical information is contained in the off-diagonal second order cumulant, as described by the usual weak-turbulence theory. Conversely, in the presence of a high-amplitude condensate, the diagonal second-order cumulants no longer vanish in the long time limit, which signals a breakdown of the weak-turbulence theory. However, we show that all asymptotic closure of the hierarchy of the cumulants' equations is still possible provided one considers the Bogoliubov's basis rather than the standard Fourier's (free particle) basis. The nonequilibrium dynamics turns out to be governed by the Bogoliubov's off-diagonal second order cumulant, while the corresponding diagonal cumulants, as well as the higher order cumulants, are shown to vanish asymptotically. The numerical discretization of the NLS equation implicitly introduces an ultraviolet frequency cut-off. The simulations are in quantitative agreement with the weak turbulence theory without adjustable parameters, despite the fact that the theory is expected to breakdown nearby the transition to condensation. The fraction of condensed particles vs energy is characterized by two distinct regimes: For small energies (H << H-c) the Bogoliubov's regime is established, whereas for H less than or similar to H-c the small-amplitude condensate regime is described by the weak-turbulence theory. In both regimes we derive coupled kinetic equations that describe the coupled evolution of the condensate amplitude and the incoherent field component. The influence of finite size effects and of the dimensionality of the system are also considered. It is shown that, beyond the thermodynamic limit, wave condensation is reestablished in two spatial dimensions, in complete analogy with uniform and ideal 2D Bose gases. (C) 2009 Elsevier B.V. All rights reserved.
Address [Duering, Gustavo; Rica, Sergio] Univ Paris 06, Ecole Normale Super, Phys Stat Lab, F-75005 Paris, France, Email: rica@lps.ens.fr
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0167-2789 ISBN Medium
Area Expedition Conference
Notes WOS:000268621400003 Approved
Call Number UAI @ eduardo.moreno @ Serial 61
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Author Goles, E.; Rica, S.
Title Irreversibility and spontaneous appearance of coherent behavior in reversible systems Type
Year 2011 Publication European Physical Journal D Abbreviated Journal Eur. Phys. J. D
Volume 62 Issue 1 Pages 127-137
Keywords
Abstract There is empirical evidence that long time numerical simulations of conservative and reversible partial differential equations evolve, as a general rule (exceptions are the integrable models), towards an equilibrium state that is mainly a coherent structure plus small fluctuations inherent in the conservative and reversible character of the original system. The fluctuations account for the energy difference between the initial configuration and the one of the coherent structure. If the energy is not small enough, then the intrinsic fluctuations may destroy the coherent structure. Thus we arrive to the conclusion that a transition arises from a non-coherent state to a coherent structure as we decrease the initial energy below a critical value. This phenomenon has been successfully observed in various numerical simulations. In this article, we stress that this general behavior is also observed in reversible and conservative cellular automata as in the Q2R model. We point out that this conservative and reversible cellular automata is ab initio deterministic and therefore all our numerical computations are not affected by an approximation of any kind.
Address [Goles, E.; Rica, S.] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: sergio.rica@gmail.com
Corporate Author Thesis
Publisher Springer Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1434-6060 ISBN Medium
Area Expedition Conference
Notes WOS:000289735000016 Approved
Call Number UAI @ eduardo.moreno @ Serial 143
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Author Goles, E.; Mascareno, A.; Medina, P.; Rica, S.
Title Migration-induced transition in social structures: a view through the Sakoda model of social interactions Type
Year 2020 Publication Scientific Reports Abbreviated Journal Sci. Rep.
Volume 10 Issue 1 Pages 18338
Keywords
Abstract We study the dynamics of three populations evolving in a two-dimensional discrete grid according to rules of attraction, rejection, or indifference following the framework of the seminal model by Sakoda and we apply it to migration phenomena. An interesting feature of the Sakoda model is the existence of a Potts-like energy which, as a common principle, decreases as time passes by. Here we consider the evolution of two populations until stabilization, then, we perturb this attractor by the inclusion of a third arrival: the immigrants. We show the conditions under which this irruption does not alter significantly the previous attractor (a sociological morphostatic behaviour) or it is dramatically changed (morphogenetic behaviour). We observe empirically that for a morphostatic behaviour the energy decreases while for morphogenesis this energy increases, revealing an escalation of social tension.
Address
Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2045-2322 ISBN Medium
Area Expedition Conference
Notes WOS:000615371300017 Approved
Call Number UAI @ alexi.delcanto @ Serial 1330
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Author Humbert, T.; Cadot, O.; During, G.; Josserand, C.; Rica, S.; Touze, C.
Title Wave turbulence in vibrating plates: The effect of damping Type
Year 2013 Publication Epl Abbreviated Journal Epl
Volume 102 Issue 3 Pages 6 pp
Keywords
Abstract The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales, is first introduced. Practical experimental devices for increasing the dissipation are used. The main observable consequence of increasing the damping is a significant modification in the slope of the power spectral density, so that the observed power laws are not in a pure inertial regime. However, the system still displays a turbulent behavior with a cut-off frequency that is determined by the injected power which does not depend on damping. By using the measured damping power-law in numerical simulations, similar conclusions are drawn out. Copyright (C) EPLA, 2013
Address Univ Paris 06, CNRS, UMR 7190, Inst Alembert, F-75005 Paris, France
Corporate Author Thesis
Publisher Epl Association, European Physical Society Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0295-5075 ISBN Medium
Area Expedition Conference
Notes WOS:000319697000002 Approved
Call Number UAI @ eduardo.moreno @ Serial 283
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Author Jarur, M.C.; Dumais, J.; Rica, S.
Title Limiting speed for jumping Type
Year 2019 Publication Comptes Rendus Mecanique Abbreviated Journal C. R. Mec.
Volume 347 Issue 4 Pages 305-317
Keywords Jumping; Take-off velocity; Locomotion; Limiting speed; Biomechanics
Abstract General mechanical considerations provide an upper bound for the take-off velocity of any jumper, animate or inanimate, rigid or soft body, animal or vegetal. The take-off velocity is driven by the ratio of released energy to body mass. Further, the mean reaction force on a rigid platform during push-off is inversely proportional to the characteristic size of the jumper. These general considerations are illustrated in the context of Alexander's jumper model, which can be solved exactly and which shows an excellent agreement with the mechanical results. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Address [Jarur, Mary Carmen] Univ Catolica Maule, Talca, Chile, Email: mjarur@ucm.cl;
Corporate Author Thesis
Publisher Elsevier France-Editions Scientifiques Medicales Elsevier Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1631-0721 ISBN Medium
Area Expedition Conference
Notes WOS:000466032600005 Approved
Call Number UAI @ eduardo.moreno @ Serial 1163
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Author Josserand, C.; Pomeau, Y.; Rica, S.
Title Finite-time localized singularities as a mechanism for turbulent dissipation Type
Year 2020 Publication Physical Review Fluids Abbreviated Journal Phys. Rev. Fluids
Volume 5 Issue 5 Pages 15 pp
Keywords
Abstract The nature of the fluctuations of the dissipation rate in fluid turbulence is still under debate. One reason may be that the observed fluctuations are strong events of dissipation, which reveal the trace of spatiotemporal singularities of the Euler equations, which are the zero viscosity limit of ordinary incompressible fluids. Viscosity regularizes these hypothetical singularities, resulting in a chaotic fluctuating state in which the strong events appear randomly in space and time, making the energy dissipation highly fluctuating. Yet, to date, it is not known if smooth initial conditions of the Euler equations with finite energy do or do not blow up in finite time. We overcome this central difficulty by providing a scenario for singularity-mediated turbulence based on the self-focusing nonlinear Schrodinger equation. It avoids the intrinsic difficulty of Euler equations since it is well known that solutions of this NLS equation with smooth initial conditions do blow up in finite time. When adding viscosity, the model shows (i) that dissipation takes place near the singularities only, (ii) that such intense events are random in space and time, (iii) that the mean dissipation rate is almost constant as the viscosity varies, and (iv) the observation of an Obukhov-Kolmogorov spectrum with a power-law dependence together with an intermittent behavior using structure function correlations, in close correspondence with the one measured in fluid turbulence.
Address [Josserand, Christophe; Pomeau, Yves; Rica, Sergio] CNRS, LadHyX, F-91128 Palaiseau, France, Email: sergio.rica@uai.cl
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2469-990x ISBN Medium
Area Expedition Conference
Notes WOS:000535862800004 Approved
Call Number UAI @ eduardo.moreno @ Serial 1198
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Author Kiwi, M.; de Espanes, P.M.; Rapaport, I.; Rica, S.; Theyssier, G.
Title Strict Majority Bootstrap Percolation in the r-wheel Type
Year 2014 Publication Information Processing Letters Abbreviated Journal Inf. Process. Lett.
Volume 114 Issue 6 Pages 277-281
Keywords Bootstrap percolation; Interconnection networks
Abstract In the strict Majority Bootstrap Percolation process each passive vertex v becomes active if at least [deg(v)+1/2] of its neighbors are active (and thereafter never changes its state). We address the problem of finding graphs for which a small proportion of initial active vertices is likely to eventually make all vertices active. We study the problem on a ring of n vertices augmented with a “central” vertex u. Each vertex in the ring, besides being connected to u, is connected to its r closest neighbors to the left and to the right. We prove that if vertices are initially active with probability p > 1/4 then, for large values of r, percolation occurs with probability arbitrarily close to I as n -> infinity. Also, if p < 1/4, then the probability of percolation is bounded away from 1. (c) 2014 Elsevier B.V. All rights reserved.
Address [Kiwi, M.; de Espanes, P. Moisset; Rapaport, I.] Univ Chile, DIM, CMM, UMI 2807 CNRS, Santiago, Chile, Email: rapaport@dim.uchile.cl
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0020-0190 ISBN Medium
Area Expedition Conference
Notes WOS:000334485800001 Approved
Call Number UAI @ eduardo.moreno @ Serial 370
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Author Mason, P.; Josserand, C.; Rica, S.
Title Activated Nucleation of Vortices in a Dipole-Blockaded Supersolid Condensate Type
Year 2012 Publication Physical Review Letters Abbreviated Journal Phys. Rev. Lett.
Volume 109 Issue 4 Pages 5 pp
Keywords
Abstract We investigate theoretically and numerically a model of a supersolid in a dipole-blockaded Bose-Einstein condensate. The dependence of the superfluid fraction with an imposed thermal bath and a uniform boost velocity on the condensate is considered. Specifically, we observe a critical velocity for the nucleation of vortices in our system that is strongly linked to a steplike decrease in the superfluid fraction. We are able to use a scaling argument based on the energy required to activate a vortex, relating the critical temperature to the critical velocity, and find that this relationship is in good agreement with the numerical simulations carried out on the nonlocal Gross-Pitaevskii equation.
Address [Mason, Peter] Univ Durham, Dept Phys, Durham DH1 3LE, England
Corporate Author Thesis
Publisher Amer Physical Soc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0031-9007 ISBN Medium
Area Expedition Conference
Notes WOS:000306651900008 Approved
Call Number UAI @ eduardo.moreno @ Serial 229
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Author Medina, P.; Goles, E.; Zarama, R.; Rica, S.
Title Self-Organized Societies: On the Sakoda Model of Social Interactions Type
Year 2017 Publication Complexity Abbreviated Journal Complexity
Volume Issue Pages 16 pp
Keywords
Abstract We characterize the behavior and the social structures appearing from a model of general social interaction proposed by Sakoda. The model consists of two interacting populations in a two-dimensional periodic lattice with empty sites. It contemplates a set of simple rules that combine attitudes, ranges of interactions, and movement decisions. We analyze the evolution of the 45 different interaction rules via a Potts-like energy function which drives the system irreversibly to an equilibriumor a steady state. We discuss the robustness of the social structures, dynamical behaviors, and the existence of spatial long range order in terms of the social interactions and the equilibrium energy.
Address [Medina, Pablo; Zarama, Roberto] Univ Los Andes, Dept Ingn Ind, Bogota, Colombia, Email: sergio.rica@uai.cl
Corporate Author Thesis
Publisher Hindawi Ltd Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1076-2787 ISBN Medium
Area Expedition Conference
Notes WOS:000394212300001 Approved
Call Number UAI @ eduardo.moreno @ Serial 700
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