Path-integral representation for a stochastic sandpile

Details Path-integral representation for a stochastic sandpile Path-integral representation for a stochastic sandpile

2002-06-26

arxiv.org/abs/cond-mat/0206525v1

Physics

Condensed Matter

Statistical Mechanics

22 pages, 6 figures

Scientific paper

10.1088/0305-4470/35/34/303

We introduce an operator description for a stochastic sandpile model with a conserved particle density, and develop a path-integral representation for its evolution. The resulting (exact) expression for the effective action highlights certain interesting features of the model, for example, that it is nominally massless, and that the dynamics is via cooperative diffusion. Using the path-integral formalism, we construct a diagrammatic perturbation theory, yielding a series expansion for the activity density in powers of the time.

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