Direct measurement of weakly nonequilibrium system entropy is consistent with Gibbs-Shannon form

Proceedings of the National Academy of Sciences of the United States of America
Momčilo GavrilovJohn Bechhoefer

Abstract

Stochastic thermodynamics extends classical thermodynamics to small systems in contact with one or more heat baths. It can account for the effects of thermal fluctuations and describe systems far from thermodynamic equilibrium. A basic assumption is that the expression for Shannon entropy is the appropriate description for the entropy of a nonequilibrium system in such a setting. Here we measure experimentally this function in a system that is in local but not global equilibrium. Our system is a micron-scale colloidal particle in water, in a virtual double-well potential created by a feedback trap. We measure the work to erase a fraction of a bit of information and show that it is bounded by the Shannon entropy for a two-state system. Further, by measuring directly the reversibility of slow protocols, we can distinguish unambiguously between protocols that can and cannot reach the expected thermodynamic bounds.

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Citations

Jul 18, 2018·Physical Review. E·Andreas Dechant, Shin-Ichi Sasa
Sep 22, 2020·Physical Review Letters·Karel ProesmansJohn Bechhoefer
Nov 25, 2018·Optics Express·John A C AlbayYonggun Jun
Feb 23, 2020·Physical Review Letters·Susanne Still
Dec 17, 2018·The Journal of Chemical Physics·Owen LeddyAaron R Dinner
Oct 21, 2020·Physical Review. E·Karel ProesmansJohn Bechhoefer
Jan 21, 2021·Physical Review. E·Van Tuan VoYoshihiko Hasegawa
Mar 15, 2019·Entropy·Shiqi ShengMassimiliano Esposito
Jan 14, 2019·Entropy·Zhiyue Lu, Christopher Jarzynski
Jun 18, 2021·Physical Review. E·Juyong SongMatteo Marsili

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