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General reaction-diffusion processes with separable equations for correlation functions

Karimipour, V ; Sharif University of Technology | 2002

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.66.041114
  3. Publisher: 2002
  4. Abstract:
  5. We consider general multispecies models of reaction diffusion processes and obtain a set of constraints on the rates which give rise to closed systems of equations for correlation functions. Our results are valid in any dimension and on any type of lattice. We also show that under these conditions the evolution equations for two point functions at different times are also closed. As an example we introduce a class of two species models that may be useful for the description of voting processes or the spreading of epidemics. © 2002 The American Physical Society
  6. Keywords:
  7. Coagulation ; Relaxation processes ; Reaction kinetics ; Random processes ; Equations of motion ; Crystal lattices ; Correlation methods
  8. Source: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics ; Volume 66, Issue 4 , 2002 , Pages 9- ; 1063651X (ISSN)
  9. URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.041114