Path-integral representation for a stochastic sandpile
统计力学
2009-11-07 v1 软凝聚态物质
摘要
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.
引用
@article{arxiv.cond-mat/0206525,
title = {Path-integral representation for a stochastic sandpile},
author = {Ronald Dickman and Ronaldo Vidigal},
journal= {arXiv preprint arXiv:cond-mat/0206525},
year = {2009}
}
备注
22 pages, 6 figures