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EnglishWe consider the one dimensional symmetric simple exclusion process (SSEP) with additional births and deaths restricted to a subset of configurations where there is a leftmost hole and a rightmost particle. At a fixed rate birth of particles occur at the position of the leftmost hole and at the same rate, independently, the rightmost particle dies. We prove convergence to a hydrodynamic limit and discuss its relation with a Stefan problem
http://hdl.handle.net/11697/3263| Titolo: | Symmetric simple exclusion process with free boundaries |
| Autori interni: | DE MASI, Anna |
| Data di pubblicazione: | 2015 |
| Rivista: | PROBABILITY THEORY AND RELATED FIELDS |
| Abstract: | We consider the one dimensional symmetric simple exclusion process (SSEP) with additional births and deaths restricted to a subset of configurations where there is a leftmost hole and a rightmost particle. At a fixed rate birth of particles occur at the position of the leftmost hole and at the same rate, independently, the rightmost particle dies. We prove convergence to a hydrodynamic limit and discuss its relation with a Stefan problem |
| Handle: | http://hdl.handle.net/11697/3263 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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