Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
arXiv:1009.4123 · doi:10.1209/0295-5075/93/10002
Abstract
We present a theoretical framework to understand a modified fluctuation-dissipation theorem valid for systems close to non-equilibrium steady-states and obeying markovian dynamics. We discuss the interpretation of this result in terms of trajectory entropy excess. The framework is illustrated on a simple pedagogical example of a molecular motor. We also derive in this context generalized Green-Kubo relations similar to the ones derived recently by Seifert., Phys. Rev. Lett., 104, 138101 (2010) for more general networks of biomolecular states.
6 pages, 2 figures, submitted in EPL
References in corpus (7)
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Dissipation: The phase-space perspective
- Fluctuations and response of nonequilibrium states
- Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state
- Fluctuation relations in simple examples of non-equilibrium steady states
- Work probability distribution in systems driven out of equilibrium
- Fluctuation theorem and large deviation function for a solvable model of a molecular motor
Cited by in corpus (30)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Temperature in and out of equilibrium: a review of concepts, tools and attempts
- Theory of nonequilibrium free energy transduction by molecular machines
- Stochastic thermodynamics of active Brownian particles
- Active Brownian particles: Entropy production and fluctuation-response
- Potential and Flux Decomposition for Dynamical Systems and Non-Equilibrium Thermodynamics: Curvature, Gauge Field and Generalized Fluctuation-Dissipation Theorem
- Interacting Brownian dynamics in a nonequilibrium particle bath
- Modified fluctuation-dissipation theorem near non-equilibrium states and applications to the Glauber-Ising chain
- On the Fluctuation-Dissipation Relation in non-equilibrium and non-Hamiltonian systems
- Joint probability distributions and fluctuation theorems
- Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
- Non-invasive estimation of dissipation from non-equilibrium fluctuations in chemical reactions
- Maximum power operation of interacting molecular motors
- Inequalities generalizing the second law of thermodynamics for transitions between non-stationary states
- Degree of coupling and efficiency of energy converters far-from-equilibrium
- Non-adiabatic entropy production for non-Markov dynamics
- Nonequilibrium thermodynamic potentials for continuous-time Markov chains
- A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
- Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states
- Temperature response in nonequilibrium stochastic systems
- Violation of generalized fluctuation theorems in adaptively driven steady states: Applications to hair cell oscillations
- Supersymmetries in non-equilibrium Langevin dynamics
- On the steady state probability distribution of nonequilibrium stochastic systems
- Generalization of Fluctuation-Dissipation Theorem to Systems with Absorbing States
- A parity breaking Ising chain Hamiltonian as a Brownian motor
- Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the Chemical Langevin Equation
- Thermal response of a Fermi-Pasta-Ulam chain with Andersen thermostats
- On the transient Fluctuation Dissipation Theorem after a quench at a critical point
- Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes
- Inertia and Prediction in the Response to External Perturbation of Noisy Variables