Stochastic Models on a Ring and Quadratic Algebras. The Three Species Diffusion Problem

Preprint

19 May 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9703182

Abstract

The stationary state of a stochastic process on a ring can be expressed using traces of monomials of an associative algebra defined by quadratic relations. If one considers only exclusion processes one can restrict the type of algebras and obtain recurrence relations for the traces. This is possible only if the rates satisfy certain compatibility conditions. These conditions are derived and the recurrence relations solved giving representations of the algebras.

Keywords

RECURRENCE RELATIONS
QUADRATIC ALGEBRAS
STOCHASTIC PROCESS
SPECIES DIFFUSION
STOCHASTIC MODELS
DIFFUSION PROBLEM

All Related Versions

Version 1, 1997-03-20, ArXiv
Version 2, 1997-05-19, ArXiv
Published version: Journal of Physics A: General Physics, 31 (3), 833.

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