Dissipation Bound for Thermodynamic Control

Physical Review Letters
Benjamin B Machta

Abstract

Biological and engineered systems operate by coupling function to the transfer of heat and/or particles down a thermal or chemical gradient. In idealized deterministically driven systems, thermodynamic control can be exerted reversibly, with no entropy production, as long as the rate of the protocol is made slow compared to the equilibration time of the system. Here we consider fully realizable, entropically driven systems where the control parameters themselves obey rules that are reversible and that acquire directionality in time solely through dissipation. We show that when such a system moves in a directed way through thermodynamic space, it must produce entropy that is on average larger than its generalized displacement as measured by the Fisher information metric. This distance measure is subextensive but cannot be made small by slowing the rate of the protocol.

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Citations

Mar 6, 2018·Reports on Progress in Physics·F S GnesottoC P Broedersz
Oct 27, 2017·Proceedings of the National Academy of Sciences of the United States of America·Aidan I Brown, David A Sivak
Aug 8, 2018·Physical Review Letters·Sosuke Ito
Jul 25, 2019·Physical Review. E·Arshia ZarrinAidan I Brown
Feb 15, 2020·Physical Review Letters·Kay Brandner, Keiji Saito
Feb 23, 2020·Physical Review Letters·J Gonzalez-AyalaA Calvo Hernández
May 20, 2018·Physical Review. E·Pavel Chvykov, Jeremy England
Feb 6, 2020·Proceedings of the National Academy of Sciences of the United States of America·Samuel J Bryant, Benjamin B Machta
Jan 23, 2020·Physical Review. E·J Gonzalez-AyalaA Calvo Hernández
Mar 15, 2020·Physical Review. E·Steven Blaber, David A Sivak
Jan 28, 2017·Physical Review Letters·Thomas McGrathThomas E Ouldridge
Jan 17, 2021·Nature Communications·Daniel S SearaMichael P Murrell
Jan 23, 2021·Physical Review Letters·Tan Van Vu, Yoshihiko Hasegawa
Mar 20, 2021·Physical Review. E·Steven J LargeDavid A Sivak
Aug 15, 2019·Chemical Reviews·Aidan I Brown, David A Sivak

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