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Multicomponent binary spreading process

Geza Odor
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Abstract

I investigate numerically the phase transitions of two-component generalizations of binary spreading processes in one dimension. In these models pair annihilation: AA->0, BB->0, explicit particle diffusion and binary pair production processes compete with each other. Several versions with spatially different productions have been explored and shown that for the cases: 2A->3A, 2B->3B and 2A->2AB, 2B->2BA a phase transition occurs at zero production rate ($σ=0$), that belongs to the class of N-component, asymmetric branching and annihilating random walks, characterized by the order parameter exponent $β=2$. In the model with particle production: AB->ABA, BA-> BAB a phase transition point can be located at $σ_c=0.3253$ that belongs to the class of the one-component binary spreading processes.

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Geza Odor. 2001-10-01. Multicomponent binary spreading process. https://doi.org/10.1103/physreve.65.026121

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