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- W4295249887 abstract "We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the interaction rate of the bulk of the system with the boundary, we obtain a linear heat equation with either Dirichlet, Robin or Neumann boundary conditions as hydrodynamic equation. In our approach, we combine duality and first-second class particle techniques to reduce the scaling limit of the inclusion process to the limiting behavior of a single, non-interacting, particle." @default.
- W4295249887 created "2022-09-12" @default.
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- W4295249887 date "2020-07-23" @default.
- W4295249887 modified "2023-09-25" @default.
- W4295249887 title "Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics" @default.
- W4295249887 doi "https://doi.org/10.48550/arxiv.2007.11998" @default.
- W4295249887 hasPublicationYear "2020" @default.
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