Linear response theory and transient fluctuation theorems for diffusion processes: a backward point of view
arXiv:0912.1917 · doi:10.1088/1751-8113/43/49/495003
Abstract
On the basis of perturbed Kolmogorov backward equations and path integral representation, we unify the derivations of the linear response theory and transient fluctuation theorems for continuous diffusion processes from a backward point of view. We find that a variety of transient fluctuation theorems could be interpreted as a consequence of a generalized Chapman-Kolmogorov equation, which intrinsically arises from the Markovian characteristic of diffusion processes.
References in corpus (11)
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Fluctuation theorems for stochastic dynamics
- Fluctuations and response of nonequilibrium states
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Integral fluctuation theorem for the housekeeping heat
- Fluctuation Relations for Diffusion Processes
- Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
- Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
- Fluctuation relations in simple examples of non-equilibrium steady states
- Beyond the Death of Linear Response: 1/f optimal information transport
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