Nonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model
统计力学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.cond-mat/9908299,
title = {Nonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model},
author = {Fabio Cecconi and Jayanth R. Banavar and Amos Maritan},
journal= {arXiv preprint arXiv:cond-mat/9908299},
year = {2007}
}
备注
4 pages, 5 EPS figures, RevTex