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Generating function, path integral representation, and equivalence for stochastic exclusive particle systems.

Authors
  • Park, Su-Chan
  • Park, Jeong-Man
Type
Published Article
Journal
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Date
Feb 01, 2005
Volume
71
Issue
2 Pt 2
Pages
26113–26113
Identifiers
PMID: 15783384
Source
Medline
License
Unknown

Abstract

We present the path integral representation of the generating function for classical exclusive particle systems. By introducing hard-core bosonic creation and annihilation operators and appropriate commutation relations, we construct the Fock space structure. Using the state vector, the generating function is defined and the master equation of the system is transformed into the equation for the generating function. Finally, the solution of the linear equation for the generating function is derived in the form of the path integral. Applying the formalism, the equivalence of reaction-diffusion processes of single species and two species is described.

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