Multicomponent binary spreading process

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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 [formula presented] [formula presented] explicit particle diffusion, and binary pair production processes compete with each other. Several versions with spatially different production are explored, and it is shown that for the cases [formula presented] [formula presented] and [formula presented] [formula presented] a phase transition occurs at zero production rate [formula presented] which belongs to the class of N-component, asymmetric branching and annihilating random walks, characterized by the order parameter exponent [formula presented] In the model with particle production [formula presented] [formula presented] a phase transition point can be located at [formula presented] which belongs to the class of one-component binary spreading processes.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume65
Issue number2
DOIs
Publication statusPublished - Jan 1 2002

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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