Non-equilibrium Stationary States in the Symmetric Simple Exclusion with Births and Deaths
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We consider the symmetric simple exclusion process in the interval ΛN:=[−N,N]∩ℤ with births and deaths taking place respectively on suitable boundary intervals I+ and I−, as introduced in De Masi et al. (J. Stat. Phys. 144:1151–1170, 2011). We study the stationary measure and its macroscopic density profile in the limit N→∞.
KeywordsInteracting particle systems Hydrodynamic limit
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