A quasi-potential for conservation laws with boundary conditions
arXiv:1010.3624
Abstract
We compute the quasi-potential and determine minimizing paths for an action functional related to scalar conservation laws on an interval with boundary conditions in the sense of Bardos et al. (1979). Taking as input an exclusion-like flux function, a strictly convex entropy, and boundary data, we obtain a generalization of the functional derived by Derrida, Lebowtiz and Speer (2003) for the stationary large deviations of the asymmetric exclusion process.
71 pages
References in corpus (5)
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Cited by in corpus (10)
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- The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
- Microscopic versus macroscopic approaches to non-equilibrium systems
- Large deviations and dynamical phase transitions in stochastic chemical networks
- Large deviations in the symmetric simple exclusion process with slow boundaries
- Density large deviations for multidimensional stochastic hyperbolic conservation laws
- Large deviation principles for nongradient weakly asymmetric stochastic lattice gases
- Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs
- Entropy of non-equilibrium stationary measures of boundary driven TASEP
- Microscopic and macroscopic perspectives on stationary nonequilibrium states