Fluctuation theorem and Onsager reciprocity relations.

@article{Andrieux2004FluctuationTA,
  title={Fluctuation theorem and Onsager reciprocity relations.},
  author={David Andrieux and Pierre Gaspard},
  journal={The Journal of chemical physics},
  year={2004},
  volume={121 13},
  pages={
          6167-74
        }
}
The Onsager and higher-order reciprocity relations are derived from a fluctuation theorem for nonequilibrium reactions ruled by the chemical master equation. The fluctuation theorem is obtained for the generating function of the macroscopic fluxes between chemiostats maintaining the system in a nonequilibrium steady state. The macroscopic affinities associated with the fluxes are identified by graph theory. The Yamamoto-Zwanzig formulas for the reaction constants are also derived from the… 
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References

SHOWING 1-10 OF 33 REFERENCES
Fluctuation theorem for nonequilibrium reactions.
  • P. Gaspard
  • Physics
    The Journal of chemical physics
  • 2004
TLDR
The fluctuation theorem is derived for stochastic nonequilibrium reactions ruled by the chemical master equation and verified in the Schlögl model of far-from-equilibrium bistability.
Stability criteria and fluctuations around nonequilibrium states
A stochastic formulation of the stability of, nonequilibrium states is discussed. An entropy balance equation, including the effect of both the macroscopic evolution and of the fluctuations is…
Stochastic analysis of a nonequilibrium phase transition: Some exact results
A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
We extend the work of Kurchan on the Gallavotti–Cohen fluctuation theorem, which yields a symmetry property of the large deviation function, to general Markov processes. These include jump processes…
Fluctuation theorem for stochastic dynamics
The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are bypassed, and the theorem takes a…
The Fluctuation Theorem as a Gibbs Property
Common ground to recent studies exploiting relations between dynamical systems and nonequilibrium statistical mechanics is, so we argue, the standard Gibbs formalism applied on the level of…
Network theory of microscopic and macroscopic behavior of master equation systems
A general microscopic and macroscopic theory is developed for systems which are governed by a (linear) master equation. The theory is based on a network representation of the master equation, and the…
Fluctuations around nonequilibrium states in open nonlinear systems
The theory of nonequilibrium fluctuations in open systems is extended to nonlinear situations. It is shown that the usual birth-and-death type of stochastic formulation of chemical kinetics is in…
Dynamical Ensembles in Nonequilibrium Statistical Mechanics.
TLDR
This presents the first test of the Ruelle principle on a many particle system far from equilibrium, and a specific prediction, obtained without the need to construct explicitly the SRB itself, is shown to be in agreement with a recent computer experiment on a strongly sheared fluid.
Fluctuations in nonequilibrium systems.
  • G. Nicolis, I. Prigogine
  • Physics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1971
TLDR
The theory of fluctuations is extended to nonlinear systems far from equilibrium, in which the departure from the steady state is governed by large fluctuations of macroscopic size, while small thermal fluctuations are still described by a generalization of Einstein's equilibrium theory.
...
1
2
3
4
...