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Nonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model

Fabio Cecconi·Jayanth R. Banavar·Amos Maritan
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Abstract

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.

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Fabio Cecconi, Jayanth R. Banavar, Amos Maritan. 1999-08-20. Nonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model. https://arxiv.org/abs/cond-mat/9908299

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