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.
Original language | English |
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Pages (from-to) | 75-116 |
Number of pages | 42 |
Journal | Journal of Statistical Physics |
Volume | 178 (2020) |
Issue number | 1 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Compact Riemannian manifold
- Hydrodynamic limit
- Random grids
- Symmetric exclusion process