Non-equilibrium Stationary States in the Symmetric Simple Exclusion with Births and Deaths |
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| Authors: | Anna De Masi Errico Presutti Dimitrios Tsagkarogiannis Maria Eulalia Vares |
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| Institution: | 1.Dipartimento di Matematica,Università di L’Aquila,L’Aquila,Italy;2.Dipartimento di Matematica,Università di Roma Tor Vergata,Roma,Italy;3.Instituto de Matemática,Universidade Federal do Rio de Janeiro,Rio de Janeiro,Brazil |
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| Abstract: | We consider the symmetric simple exclusion process in the interval Λ N :=−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→∞. |
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