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

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.

References in corpus (6)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Simulating rare events in dynamical processes
• A numerical approach to large deviations in continuous-time
• Spontaneous Symmetry Breaking at the Fluctuating Level
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Symmetries in Fluctuations Far from Equilibrium

Cited by in corpus (20)

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• Singularities in large deviation functions
• Non differentiable large-deviation functionals in boundary-driven diffusive systems
• Cusp singularities in boundary-driven diffusive systems
• Optimal paths of non-equilibrium stochastic fields: the Kardar-Parisi-Zhang interface as a test case
• Dynamics of Repulsion Processes
• Dynamical large deviations of two-dimensional kinetically constrained models using a neural-network state ansatz
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• Large deviations in the symmetric simple exclusion process with slow boundaries
• Singularities in Large Deviation Functionals of Bulk-Driven Transport Models
• Melting of an Ising Quadrant
• Macroscopic fluctuation theory of local time in lattice gases
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Dynamical selection of Nash equilibria using Experience Weighted Attraction Learning: emergence of heterogeneous mixed equilibria
• Transport-induced correlations in weakly interacting systems
• Finite size corrections to the large deviation function of the density in the one dimensional symmetric simple exclusion process
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