Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries
arXiv:1405.1363 · doi:10.1103/PhysRevE.90.052143
Abstract
We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process (SIP) by coupling it to two particle-reservoirs at the two boundaries with slightly different chemical potentials. The boundaries introduce irreversibility and induce a weak particle current in the system. We calculate the McLennan ensemble for SIP, which corresponds to the entropy production and the first order non-equilibrium correction for the stationary state. We find that the first order correction is a product measure, and is consistent with the local equilibrium measure corresponding to the steady state density profile.
arXiv comment17 pages, revised
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- Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
- Condensation in models with factorized and pair-factorized stationary states
- Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond
- Limits to positional information in boundary-driven systems