Optimal protocols and universal time-energy bound in Brownian thermodynamics

Yoseline Rosales-Cabara; Giovanni Manfredi; Gabriel Schnoering; Paul-Antoine Hervieux; Laurent Mertz; Cyriaque Genet

doi:10.1103/PhysRevResearch.2.012012

Optimal protocols and universal time-energy bound in Brownian thermodynamics

Yoseline Rosales-Cabara, Giovanni Manfredi^*, Gabriel Schnoering, Paul-Antoine Hervieux^*, Laurent Mertz^*, Cyriaque Genet^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

18 Citations (Scopus)

Abstract

We propose an optimization strategy to control the dynamics of a stochastic system transferred from one thermal equilibrium to another and apply it experimentally to a Brownian particle in an optical trap under compression. Based on a variational principle that treats the transfer duration and the expended work on an equal footing, our strategy leads to a family of protocols that is either optimally cheap for a given duration or optimally fast for a given energetic cost. This approach unveils a universal relation ΔtΔW≥(ΔtΔW)opt between the transfer duration and the expended work. We verify experimentally that the lower bound is reached only with the optimized protocols.

Original language	English
Article number	012012(R)
Journal	Physical Review Research
Volume	2
Issue number	1
Online published	14 Jan 2020
DOIs	https://doi.org/10.1103/PhysRevResearch.2.012012
Publication status	Published - Jan 2020
Externally published	Yes

Funding

This work was supported in part by Agence Nationale de la Recherche (ANR), France, ANR Equipex Union (Grant No. ANR-10-EQPX-52-01), the Labex NIE projects (Grant No. ANR-11-LABX-0058-NIE), and USIAS within the Investissements d'Avenir program (Grant No. ANR-10-IDEX-0002-02). Y.R.-C. is a member of the International Doctoral Program of the Initiative d'Excellence of the University of Strasbourg, whose support is acknowledged. L.M. is supported by the National Natural Science Foundation of China, Research Fund for International Young Scientists under the Project No. 1161101053 and the Young Scientist Program under the Project No. 11601335.

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AU - Rosales-Cabara, Yoseline

AU - Manfredi, Giovanni

AU - Schnoering, Gabriel

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AU - Mertz, Laurent

AU - Genet, Cyriaque

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AB - We propose an optimization strategy to control the dynamics of a stochastic system transferred from one thermal equilibrium to another and apply it experimentally to a Brownian particle in an optical trap under compression. Based on a variational principle that treats the transfer duration and the expended work on an equal footing, our strategy leads to a family of protocols that is either optimally cheap for a given duration or optimally fast for a given energetic cost. This approach unveils a universal relation ΔtΔW≥(ΔtΔW)opt between the transfer duration and the expended work. We verify experimentally that the lower bound is reached only with the optimized protocols.

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JO - Physical Review Research

JF - Physical Review Research

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Optimal protocols and universal time-energy bound in Brownian thermodynamics

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