Stochastic thermodynamics: Principles and perspectives

Details Stochastic thermodynamics: Principles and perspectives Stochastic thermodynamics: Principles and perspectives

2007-10-05

arxiv.org/abs/0710.1187v1

Eur. Phys. J. B, 64 : 423-431, 2008.

Physics

Condensed Matter

Statistical Mechanics

Invited talk, Statphys 23, July 9-13, 2007, submitted to Eur. Phys. J B

Scientific paper

10.1140/epjb/e2008-00001-9

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.

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