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arXiv · 1905.07175

Large deviations conditioned on large deviations II: Fluctuating hydrodynamics

Bernard Derrida·Tridib Sadhu
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Abstract

For diffusive many-particle systems such as the SSEP (symmetric simple exclusion process) or independent particles coupled with reservoirs at the boundaries, we analyze the density fluctuations conditioned on current integrated over a large time. We determine the conditioned large deviation function of density by a microscopic calculation. We then show that it can be expressed in terms of the solutions of Hamilton-Jacobi equations, which can be written for general diffusive systems using a fluctuating hydrodynamics description.

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BibTeXRIS

Bernard Derrida, Tridib Sadhu. 2019-05-17. Large deviations conditioned on large deviations II: Fluctuating hydrodynamics. https://doi.org/10.1007/s10955-019-02363-8

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