Refined Second Law of Thermodynamics for Fast Random Processes

By Erik Aurell, K. Gawȩdzki, Carlos Mejía-Monasterio, Roya Mohayaee, Paolo Muratore-Ginanneschi. Journal of statistical physics, 2012

172 citations recorded by the source corpus.

We establish a refined version of the Second Law of Thermodynamics for Langevin stochastic processes describing mesoscopic systems driven by conservative or non-conservative forces and interacting with thermal noise. The refinement is based on the Monge-Kantorovich optimal mass transport and becomes relevant for processes far from quasi-stationary regime. General discussion is illustrated by numerical analysis of the optimal memory erasure protocol for a model for micron-size particle manipulated by optical tweezers.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a32d64cdbed7ca3c82bd8186f574196afbc2391d

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, background): “For total entropy production as objective function, turning an earlier scaling argument [290] into a mathematical proof, a general bound can thus be derived, S tot C/t valid for any t , where C depends on the given initial and final distributions [291].”
Experiments in Stochastic Thermodynamics: Short History and Perspectives (2017, background): “[153], but the optimal protocol is not often easy to apply in an experiment.”