Fluctuation theorems for stochastic dynamics
arXiv:cond-mat/0702553 · doi:10.1088/1742-5468/2007/07/P07020
Abstract
Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived and investigated theoretically and experimentally. Significantly, we demonstrate, in the context of Markovian stochastic dynamics, how these different fluctuation theorems arise from a simple fundamental time-reversal symmetry of a certain class of observables. Appealing to the notion of Gibbs entropy allows for a microscopic definition of entropy production in terms of these observables. We work with the master equation approach, which leads to a mathematically straightforward proof and provides direct insight into the probabilistic meaning of the quantities involved. Finally, we point to some experiments that elucidate the practical significance of fluctuation relations.
48 pages, 2 figures. v2: minor changes for consistency with published version
References in corpus (10)
- An Extension of the Fluctuation Theorem
- Nonequilibrium fluctuations in a resistor
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- Integral fluctuation theorem for the housekeeping heat
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- Power and heat fluctuation theorems for electric circuits
- A fluidized granular medium as an instance of the Fluctuation Theorem
- A numerical approach to large deviations in continuous-time
- Fluctuation theorems for harmonic oscillators
- On the range of validity of the fluctuation theorem for stochastic Markovian dynamics