Fluctuation Theorem for Currents and Schnakenberg Network Theory
By David Andrieux, Pierre Gaspard. 2005
202 citations recorded by the source corpus.
A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or thermodynamic forces are defined globally in terms of the cycles of the graph associated with the stochastic process describing the time evolution.
Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6f5d73e16590d962f61acfd914296d606f05685e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Networks and Communications
In Statistical and Nonlinear Physics
- U. Seifert
- Massimiliano Esposito
- Jordan M. Horowitz
- Todd R. Gingrich
- Jeremy L. England
- N. Perunov
- Shaul Mukamel
- U. Harbola
Citations in the corpus
- Dissipation Bounds All Steady-State Current Fluctuations. (2015, background): “Further, the inequality is saturated not only at the minimum of I, j 1⁄4 jπ , but also at the symmetric point j 1⁄4 −jπ , as our bound also satisfies the fluctuation theorem for currents [5,29].”
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, background): “A second class of FTs is concerned with entropy fluctuations in closed systems described by deterministic thermostatted equations of motions [37, 57, 58, 59, 60, 72, 73, 157] and a third class treats the fluctuations of entropy (or related quantities such as irreversible work, heat and matter curren”
- Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, methodology): “The FT for entropy production has been discussed for various chemical reaction networks in the papers by Gaspard and Andrieux quoted above, and, more recently, be applied to transport in mesoscopic devices which, despite their quantum character, can often still be described by a master equation when”
- Thermodynamics with Continuous Information Flow (2014, unknown): “[64,67,68].”