Nonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model

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dc.creatorCecconi, Fabio
dc.creatorBanavar, Jayanth R.
dc.creatorMaritan, Amos
dc.date1999-08-20
dc.date.accessioned2026-07-07T03:14:18Z
dc.date.available2026-07-07T03:14:18Z
dc.descriptionWe 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.
dc.description4 pages, 5 EPS figures, RevTex
dc.identifierhttps://arxiv.org/abs/cond-mat/9908299
dc.identifierhttp://arxiv.org/abs/cond-mat/9908299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29622
dc.subjectStatistical Mechanics
dc.titleNonequilibrium Phase Transition in Non-Local and Nonlinear Diffusion Model
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