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

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

2012-02-01

arxiv.org/abs/1202.0286v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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.

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