Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell’s demon interpretation
By David Hartich, A. C. Barato, U. Seifert. 2014
170 citations recorded by the source corpus.
We consider the stationary state of a Markov process on a bipartite system from the perspective of stochastic thermodynamics. One subsystem is used to extract work from a heat bath while being affected by the second subsystem. We show that the latter allows for a transparent and thermodynamically consistent interpretation of a Maxwell’s demon. Moreover, we obtain an integral fluctuation theorem involving the transfer entropy from one subsystem to the other. Comparing three different inequalities, we show that the entropy decrease of the first subsystem provides a tighter bound on the rate of extracted work than either the rate of transfer entropy from this subsystem to the demon or the heat dissipated through the dynamics of the demon. The latter two rates cannot be ordered by an inequality, as shown with the illustrative example of a four state system.
Subfields: Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/df0a65404628f933293c4296c07f585f17743ed6
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In Statistical and Nonlinear Physics
- Jordan M. Horowitz
- Sosuke Ito
- Ting Lu
- Xiaona Fang
- Karsten Kruse
- A. Dechant
- Massimiliano Esposito
- Jin Wang
Citations in the corpus
- Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound (2018, background): “Thus, it is not surprising that there exists a strong connection between thermodynamics and information theory, which, despite dating back all the way to Gibbs and Boltzmann [6], has recently received much attention [7–16].”
- Thermodynamics with Continuous Information Flow (2014, background): “Such an arrangement is called bipartite [40,41,44,61].”
- Nonequilibrium physics in biology (2019, background): “tic, which can be characterized by probabilistic evolution (Barato et al., 2013; Barato and Seifert, 2014; Hartich et al., 2014; Horowitz and Esposito, 2014).”