Macroscopic fluctuations theory of aerogel dynamics

Abstract

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.

final version

References in corpus (7)

• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Cumulants and large deviations of the current through non-equilibrium steady states
• Heat conduction and Fourier's law by consecutive local mixing and thermalization
• Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs
• Heat conductivity from molecular chaos hypothesis in locally confined billiard systems
• Hot scatterers and tracers for the transfer of heat in collisional dynamics
• Nonequilibrium Steady States for Certain Hamiltonian Models

Cited by in corpus (3)

• Large deviations of the current in stochastic collisional dynamics
• Large deviations for correlated random variables described by a matrix product ansatz
• Anomalous fluctuations of renewal-reward processes with heavy-tailed distributions