Random paths and current fluctuations in nonequilibrium statistical mechanics
arXiv:1406.3593 · doi:10.1063/1.4881534
Abstract
An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is considered in time or spacetime for nonequilibrium systems. In this approach, relationships have been established between nonequilibrium properties such as the transport coefficients, the thermodynamic entropy production, or the affinities, and quantities characterizing the microscopic Hamiltonian dynamics and the chaos or fluctuations it may generate. This overview presents results for classical systems in the escape-rate formalism, stochastic processes, and open quantum systems.
References in corpus (19)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The large deviation approach to statistical mechanics
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Fluctuation theorems: Work is not an observable
- Dissipation: The phase-space perspective
- Dynamic first-order phase transition in kinetically constrained models of glasses
- Fluctuation theorems for stochastic dynamics
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Quantum work relations and response theory
- Symmetries in Fluctuations Far from Equilibrium
- Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
- Fluctuation theorem for the effusion of an ideal gas
- Fluctuation Theorem and Microreversibility in a Quantum Coherent Conductor
- Thermodynamic time asymmetry in nonequilibrium fluctuations
- Heat conduction and Fourier's law in a class of many particle dispersing billiards
- Fluctuation relations for equilibrium states with broken discrete symmetries
- Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
- Broken Z2 symmetries and fluctuations in statistical mechanics
- Nonlinear transport effects in mass separation by effusion