Large deviations in boundary-driven systems: Numerical evaluation and effective large-scale behavior
Technion - Israel Institute of Technology - Haifa 32000, Israel
Received: 6 June 2012
Accepted: 27 June 2012
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-wavelength modes. For a configuration which varies rapidly in space this description can be complemented by a local-equilibrium assumption.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2012