Macroscopic fluctuations theory of aerogel dynamics

Details Macroscopic fluctuations theory of aerogel dynamics Macroscopic fluctuations theory of aerogel dynamics

2010-07-19

arxiv.org/abs/1007.3080v4

Physics

Mathematical Physics

final version

Scientific paper

We consider the thermodynamic potential describing the macroscopic fluctuation of the current and local energy of a general class of Hamiltonian models including aerogels. We argue that this potential is neither analytic nor strictly convex, a property that should be expected in general but missing from models studied in the literature. This opens the possibility of describing in terms of a thermodynamic potential non-equilibrium phase transitions in a concrete physical context. This special behaviour of the thermodynamic potential 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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