Symmetric simple exclusion process with free boundaries (Q2257119)
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scientific article
| Language | Label | Description | Also known as |
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| English | Symmetric simple exclusion process with free boundaries |
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Symmetric simple exclusion process with free boundaries (English)
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23 February 2015
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The simplest version of a free boundary problem is given by the linear heat equation in a domain that itself changes in time. The present authors study a particle version in which the heat equation is replaced by the one-dimensional symmetric simple exclusion process, with a rightmost particle and a leftmost hole. Births and deaths under prescribed assumptions are allowed. The main result concerns convergence to a hydrodynamic limit. The relation to free boundary problems is also discussed.
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symmetric simple exclusion process
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hydrodynamic limit
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free boundary problem
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stochastic inequalities
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