The gradient flow approach to hydrodynamic limits for the simple exclusion process

Max Fathi; Marielle Simon

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arXiv · 1507.06489

The gradient flow approach to hydrodynamic limits for the simple exclusion process

Max Fathi·Marielle Simon

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Abstract

We give a new approach to the well-known convergence to the hydrodynamic limit for the symmetric simple exclusion process (SSEP). More precisely, we characterize any possible limit of its empirical density measures as solutions to the heat equation by passing to the limit in the gradient flow structure of the particle system.

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Max Fathi, Marielle Simon. 2015-07-23. The gradient flow approach to hydrodynamic limits for the simple exclusion process. https://arxiv.org/abs/1507.06489

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