Spontaneous formation of dynamical patterns with fractal fronts in the cyclic lattice Lotka-Volterra model.
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.
Provata
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Institute of Physical Chemistry, National Research Center Demokritos, 15310 Athens, Greece. aprovata@limnos.chem.demokritos.gr
Tsekouras
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