Nonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present the results of analytical and numerical studies of a one-dimensional nonlocal and nonlinear diffusion equation describing non-equilibrium processes ranging from aggregation phenomena to cooperation of individuals. We study a dynamical phase transition that is obtained on tuning the initial conditions and demonstrate universality and characterize the critical behavior. The critical state is shown to be reached in a self-organized manner on dynamically evolving the diffusion equation subjected to a mirror symmmetry transformation.
4 pages, 5 EPS figures, RevTex

Keywords

Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/29622

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9908299
 http://arxiv.org/abs/cond-mat/9908299

Collections

arXiv