Hydrodynamic limit of the Symmetric Exclusion Process on a compact Riemannian manifold

Bart van Ginkel; Frank Redig

doi:10.1007/s10955-019-02420-2

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arXiv · 1812.07286

Hydrodynamic limit of the Symmetric Exclusion Process on a compact Riemannian manifold

Bart van Ginkel·Frank Redig

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Abstract

We consider the symmetric exclusion process on suitable random grids that approximate a compact Riemannian manifold. We prove that a class of random walks on these random grids converge to Brownian motion on the manifold. We then consider the empirical density field of the symmetric exclusion process and prove that it converges to the solution of the heat equation on the manifold.

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BibTeX RIS

Bart van Ginkel, Frank Redig. 2018-12-18. Hydrodynamic limit of the Symmetric Exclusion Process on a compact Riemannian manifold. https://doi.org/10.1007/s10955-019-02420-2

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