Stochastic thermodynamics: principles and perspectives

By U. Seifert. 2007

408 citations recorded by the source corpus.

Stochastic thermodynamics provides a framework for describing small systems like colloids or biomolecules driven out of equilibrium but still in contact with a heat bath. Both, a first-law like energy balance involving exchanged heat and entropy production entering refinements of the second law can consistently be defined along single stochastic trajectories. Various exact relations involving the distribution of such quantities like integral and detailed fluctuation theorems for total entropy production and the Jarzynski relation follow from such an approach based on Langevin dynamics. Analogues of these relations can be proven for any system obeying a stochastic master equation like, in particular, (bio)chemically driven enzyms or whole reaction networks. The perspective of investigating such relations for stochastic field equations like the Kardar-Parisi-Zhang equation is sketched as well.

Subfields: Physical and Theoretical Chemistry, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fca7da6d2aef69c78f8920813ac38bf6fa15cd73

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Citations in the corpus

Thermodynamics with Continuous Information Flow (2014, methodology): “[47] U.”
Fundamental aspects of steady-state conversion of heat to work at the nanoscale (2016, background): “For this, Seifert [41, 346] argued that the entropy S sys a that one should assign to system state a is S sys a = −kB ln[Pa], (323)”
Irreversibility in Active Matter Systems: Fluctuation Theorem and Mutual Information (2018, positive): “It fulfills the integral fluctuation theorem [32, 34] 〈 e−∆Stot/kB 〉 = 1 (24)”
Colloquium: Quantum fluctuation relations: Foundations and applications (2010, background): “This result was first accomplished by Tasaki (2000) and Kurchan (2000).”
Refined Second Law of Thermodynamics for Fast Random Processes (2012, background): “In recent years an increased interest in fluctuations of mesoscopic systems interacting with noisy environment has led to the development of “Stochastic Thermodynamics” that revisited relations between thermodynamical principles and statistical description within simple models based on stochastic di”
Nonequilibrium physics in biology (2019, background): “…Maier and Stein, 1997; Nicolas and Prigogine, 1989; Nicolis and Prigogine, 1977; Qian, 2009; Roma et al., 2005; Schnakenberg, 1976; Schuss, 2010; Seifert, 2008; Van and Esposito, 2010; Van Kampen, 2007; Walczak et al., 2005; Wang, 2015; Wang et al., 2006a, 2010c; Zhang et al., 2012; Zhang and…”
Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, methodology): “Stochastic fields The generalization of the results in the previous section for coupled Langevin equations to stochastic field equations is trivially possible [21].”