Moderate deviation principles for the equilibrium fluctuation fields of the one-dimensional facilitated exclusion process are established, with quadratic rate functions in the symmetric case and a purely initial-condition rate in the asymmetric case.
Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries
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In this paper, we prove the hydrodynamic limit for the ergodic dynamics of the Facilitated Exclusion Process with closed boundaries in the symmetric, asymmetric and weakly asymmetric regimes. For this, we couple it with a Simple Exclusion Process by constructing a mapping that transforms the facilitated dynamics into the simple one. As the hydrodynamic behaviour of the simple exclusion process with closed boundaries has been extensively studied, we can deduce the corresponding hydrodynamics for the facilitated exclusion process.
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Moderate deviations for the facilitated exclusion process in equilibrium
Moderate deviation principles for the equilibrium fluctuation fields of the one-dimensional facilitated exclusion process are established, with quadratic rate functions in the symmetric case and a purely initial-condition rate in the asymmetric case.