Macroscopic fluctuations theory of aerogel dynamics

Abstract : We consider extensive deterministic dynamics made of $N$ particles modeling aerogels under a macroscopic fluctuation theory description. By using a stochastic model describing those dynamics after a diffusive rescaling, we show that the functional giving the exponential decay in $N$ of the probability of observing a given energy and current profile is not strictly convex as a function of the current. This behaviour is caused by the fact that the energy current is carried by particles which may have arbitrary low speed with sufficiently large probability.
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https://hal.archives-ouvertes.fr/hal-00504909
Contributor : Lorenzo Zambotti <>
Submitted on : Wednesday, July 21, 2010 - 5:59:27 PM
Last modification on : Tuesday, May 30, 2017 - 1:07:54 AM

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  • HAL Id : hal-00504909, version 1
  • ARXIV : 1007.3080

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Citation

Raphael Lefevere, Mauro Mariani, Lorenzo Zambotti. Macroscopic fluctuations theory of aerogel dynamics. 2010. 〈hal-00504909〉

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