From fluctuations in hydrodynamics to nonequilibrium thermodynamics

Abstract

This paper reports on a macroscopic fluctuation theory developed over the last ten years in collaboration with L. Bertini, A. De Sole, D. Gabrielli and C. Landim. This theory has been inspired by and tested on stochastic models of interacting particles (stochastic lattice gases). It is the basis for a new approach to the study of stationary non equilibrium states applicable to a large class of systems. This overview emphasizes general ideas and for the details I refer to the published papers.

based on a talk given in Kyoto at the Workshop "Nonequilibrium Statistical Mechanics", July-August 2009. To appear in Progress of Theoretical Physics Supplement

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• Fluctuations of Current in Non-Stationary Diffusive Lattice Gases
• Thermodynamics of currents in nonequilibrium diffusive systems: theory and simulation
• Universal Large Deviations for the Tagged Particle in Single File Motion
• Large deviation function of a tracer position in single file diffusion
• Entropy and Nonlinear Nonequilibrium Thermodynamic Relation for Heat Conducting Steady States
• Extreme Current Fluctuations in Lattice Gases: Beyond Nonequilibrium Steady States
• Void formation in diffusive lattice gases
• Correlations of the density and of the current in non-equilibrium diffusive systems
• Extreme Current Fluctuations in a Nonstationary Stochastic Heat Flow
• Exact equalities and thermodynamic relations for nonequilibrium steady states
• Equilibrium and non-equilibrium Ising models by means of PCA
• Nonequilibrium Steady State of a Weakly-Driven Kardar-Parisi-Zhang Equation
• Extreme Fluctuations of Current in the Symmetric Simple Exclusion Process: a Non-Stationary Setting
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Tricritical behavior in dynamical phase transitions
• Large fluctuations in diffusion-controlled absorption
• Compact Waves in Microscopic Nonlinear Diffusion
• Melting of an Ising Quadrant
• Solitons in fluctuating hydrodynamics of diffusive processes
• Tagged particle in a sheared suspension: effective temperature determines density distribution in a slowly varying external potential beyond linear response
• Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond