PMID: 12786291Jun 6, 2003Paper

Spontaneous formation of dynamical patterns with fractal fronts in the cyclic lattice Lotka-Volterra model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Provata, G A Tsekouras

Abstract

Dynamical patterns, in the form of consecutive moving stripes or rings, are shown to develop spontaneously in the cyclic lattice Lotka-Volterra model, when realized on square lattice, at the reaction limited regime. Each stripe consists of different particles (species) and the borderlines between consecutive stripes are fractal. The interface width w between the different species scales as w(L,t) approximately L(alpha)f(t/L(z)), where L is the linear size of the interface, t is the time, and alpha and z are the static and dynamical critical exponents, respectively. The critical exponents were computed as alpha=0.49+/-0.03 and z=1.53+/-0.13 and the propagating fronts show dynamical characteristics similar to those of the Eden growth models.

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Citations

Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Attila SzolnokiXiaodan Zhu
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luo-Luo JiangBing-Hong Wang
Sep 19, 2014·Journal of the Royal Society, Interface·Attila SzolnokiMatjaž Perc
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Quan-Xing LiuMao-Xing Liu
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ying TangYian Ma
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G A TsekourasC Tsallis

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