Multispecies reaction-diffusion systems

Abstract

Multispecies reaction-diffusion systems, for which the time evolution equation of correlation functions become a closed set, are considered. A formal solution for the average densities is found. Some special interactions and the exact time dependence of the average densities in these cases are also studied. For the general case, the large time behaviour of the average densities has also been obtained.

LaTeX file, 15 pages, to appear in Phys. Rev. E

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Cited by in corpus (18)

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• Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries
• Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions
• Exactly solvable models through the empty interval method
• Models solvable through the empty-interval method
• Phase transitions in systems possessing Shock solutions
• Exactly solvable models through the empty interval method, for more-than-two-site interactions
• On the solvable multi-species reaction-diffusion processes
• Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
• Solution of a class of one-dimensional reaction-diffusion models in disordered media
• Multi shocks in Reaction-diffusion models
• Phase transition in an asymmetric generalization of the zero-temperature q-state Potts model
• General Reaction-Diffusion Processes With Separable Equations for Correlation Functions
• Static- and dynamical-phase transition in multidimensional voting models on continua
• Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems
• Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models
• Nonuniform autonomous one-dimensional exclusion nearest neighbor reaction diffusion models, II
• Cluster approximation solution of a two species annihilation model