|Home||<< 1 >>|
Asenjo, F. A., & Hojman, S. A. (2021). Accelerating solutions to diffusion equation. Eur. Phys. J. Plus., 136(6), 677.
Abstract: We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one-dimensional systems, as well as for a general three-dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features.
Asenjo, F. A., & Hojman, S. A. (2022). Light-like propagation of self-interacting Klein-Gordon fields in cosmology. Eur. Phys. J. Plus., 137(1), 20.
Abstract: It is showed that complex scalar fields with a self-interaction potential may propagate along null geodesics on isotropic flat Friedmann-Lemaitre-Robertson-Walker universes with different time-dependent scale factors. This effect appears for certain kinds of self-interactions only, for different forms of potentials, and even for the massive case.