# 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.
Document type :
Preprints, Working Papers, ...
2010
Domain :
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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 : Wednesday, October 12, 2016 - 1:02:10 AM

### Identifiers

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

### Citation

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

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