Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions

Details Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions

2001-03-26

arxiv.org/abs/cond-mat/0103525v1

Phys. Rev. E64 (2001) 066102

Physics

Condensed Matter

Statistical Mechanics

9 pages, LaTeX2e

Scientific paper

10.1103/PhysRevE.64.066102

Autonomous multispecies systems with more-than-two-neighbor interactions are studied. Conditions necessary and sufficient for closedness of the evolution equations of the $n$-point functions are obtained. The average number of the particles at each site for one species and three-site interactions, and its generalization to the more-than-three-site interactions is explicitly obtained. Generalizations of the Glauber model in different directions, using generalized rates, generalized number of states at each site, and generalized number of interacting sites, are also investigated.

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