A consistence-stability approach to hydrodynamic limit of interacting particle systems on lattices
| Autor: | Angeliki Menegaki, Clément Mouhot |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
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| Popis: | This is a review based on the presentation done at the seminar Laurent Schwartz in December 2021. It is announcing results in the forthcoming [Menegaki-Mouhot-Marahrens'22]. This work presents a new simple quantitative method for proving the hydrodynamic limit of a class of interacting particle systems on lattices. We present here this method in a simplified setting, for the zero-range process and the Ginzburg-Landau process with Kawasaki dynamics, in the parabolic scaling and in dimension $1$. The rate of convergence is quantitative and uniform in time. The proof relies on a consistence-stability approach in Wasserstein distance, and it avoids the use of the ``block estimates''. 12 pages, 1 figure, seminar proceeding, comments welcome |
| Databáze: | OpenAIRE |
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