English

Large deviations in boundary-driven systems: Numerical evaluation and effective large-scale behavior

Statistical Mechanics 2015-09-10 v2

Abstract

We study rare events in systems of diffusive fields driven out of equilibrium by the boundaries. We present a numerical technique and use it to calculate the probabilities of rare events in one and two dimensions. Using this technique, we show that the probability density of a slowly varying configuration can be captured with a small number of long wave-length modes. For a configuration which varies rapidly in space this description can be complemented by a local equilibrium assumption.

Keywords

Cite

@article{arxiv.1202.0286,
  title  = {Large deviations in boundary-driven systems: Numerical evaluation and effective large-scale behavior},
  author = {Guy Bunin and Yariv Kafri and Daniel Podolsky},
  journal= {arXiv preprint arXiv:1202.0286},
  year   = {2015}
}
R2 v1 2026-06-21T20:13:28.537Z