# 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.
Type de document :
Pré-publication, Document de travail
2010
Domaine :
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00504909
Contributeur : Lorenzo Zambotti <>
Soumis le : mercredi 21 juillet 2010 - 17:59:27
Dernière modification le : mardi 30 mai 2017 - 01:07:54

### Identifiants

• 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>

### Métriques

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