Path-integral representation for a stochastic sandpile

Abstract

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.

22 pages, 6 figures

References in corpus (3)

• Critical behavior of a one-dimensional fixed-energy stochastic sandpile
• Nonequilibrium Phase Transitions in Epidemics and Sandpiles
• Static critical behavior in the inactive phase of the pair contact process

Cited by in corpus (6)

• Master equations and the theory of stochastic path integrals
• Approximation scheme for master equations: variational approach to multivariate case
• Asymptotic behavior of the order parameter in a stochastic sandpile
• Generic slow relaxation in a stochastic sandpile
• A field theoretic approach to master equations and a variational method beyond the Poisson ansatz
• Series expansion for a stochastic sandpile