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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Notes
Omitting the initial profile to avoid too heavy notation.
References
De Masi, A., Presutti, E., Tsagkarogiannis, D., Vares, M.E.: Current reservoirs in the simple exclusion process. J. Stat. Phys. 144, 1151–1170 (2011)
De Masi, A., Presutti, E., Tsagkarogiannis, D., Vares, M.E.: Truncated correlations in the stirring process with births and deaths. Electron. J. Probab. 17(6), 1–35 (2012)
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Acknowledgements
This work has been partially supported by the PRIN project, n. 2009TA2595. M.E.V. thanks the Universities of Rome and L’Aquila for kind hospitality. M.E.V. is partially supported by CNPq grant 302796/2002-9. The research of D.T. has been partially supported by a Marie Curie Intra European Fellowship within the 7th European Community Framework Program.
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De Masi, A., Presutti, E., Tsagkarogiannis, D. et al. Non-equilibrium Stationary States in the Symmetric Simple Exclusion with Births and Deaths. J Stat Phys 147, 519–528 (2012). https://doi.org/10.1007/s10955-012-0481-2
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DOI: https://doi.org/10.1007/s10955-012-0481-2