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 (26)
- A nonequilibrium equality for free energy differences
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
- Fluctuation theorem for stochastic dynamics
- Path ensembles averages in systems driven far-from-equilibrium
- Steady State Thermodynamics of Langevin Systems
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Fluctuation theorems for stochastic dynamics
- Fluctuations and response of nonequilibrium states
- Fluctuation Theorems
- Chaotic hypothesis: Extension of Onsager reciprocity to large fields and the chaotic hypothesis
- Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
- 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
- Non-equilibrium work relations
- 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
- Linear response to perturbation of non-exponential renewal processes
- A generalized integral fluctuation theorem for diffusion processes
Cited by in corpus (8)
- Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
- Modified fluctuation-dissipation theorem near non-equilibrium states and applications to the Glauber-Ising chain
- Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems
- Derivation of quantum work equalities using quantum Feynman-Kac formula
- Calculating work in weakly driven quantum master equations: backward and forward equations
- Nonequilibrium work equalities in isolated quantum systems
- Generalized integral fluctuation relation with feedback control for diffusion processes
- Quantum fluctuation theorem for initial near-equilibrium system