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

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

2004-09-10

arxiv.org/abs/cond-mat/0409260v2

Phys. Rev. E 71, 016137 (2005)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.71.016137

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 are described.

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