Echo states for detailed fluctuation theorems
arXiv:1405.6064 · doi:10.1103/PhysRevE.91.012101
Abstract
Detailed fluctuation theorems are statements about the probability distribution for the stochastic entropy production along a trajectory. It involves the consideration of a suitably transformed dynamics, such as the time reversed, the adjoint, or a combination of these. We identify specific, typically unique, initial conditions, called echo states, for which the final probability distribution of the transformed dynamics reproduces the initial distribution. In this case the detailed fluctuation theorems relate the stochastic entropy production of the direct process to that of the transformed one. We illustrate our results by an explicit analytical calculation and numerical simulations for a modulated two-state quantum dot.
8 pages, 6 figures, published version
References in corpus (11)
- Fluctuation theorems for stochastic dynamics
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Integral fluctuation theorem for the housekeeping heat
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
- Fluctuation theorem for the effusion of an ideal gas
- Fluctuations of the total entropy production in stochastic systems
- Fluctuation theorems and inequalities generalizing the second law of thermodynamics off equilibrium
- Fluctuation theorem for black-body radiation
- Fluctuation theorem for entropy production during effusion of a relativistic ideal gas
- Fluctuation symmetry in a two-state Markov model