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Work fluctuation and its optimal extraction with time dependent harmonic potential from a non-Markovian bath

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  • Xiao, Bo
  • Li, Renfu

Abstract

We study the optimal work extraction protocol for a Brownian particle described by generalized Langevin dynamics from a single reservoir with the aid of position measurement. The particle is confined in a time dependent harmonic potential. In the overdamped situation, we show that memory effects typically reduce the extracted work, and full information-work conversion can only be achieved by manipulating both the stiffness and center of the potential quasistatically. In the non-Markovian underdamped regime, we investigate the exponential tail of work distribution using the path integral formalism, memory effects on the characteristic work production is also revealed.

Suggested Citation

  • Xiao, Bo & Li, Renfu, 2019. "Work fluctuation and its optimal extraction with time dependent harmonic potential from a non-Markovian bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 161-171.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:161-171
    DOI: 10.1016/j.physa.2018.10.020
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    References listed on IDEAS

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    1. Ghosh, Bappa & Chaudhury, Srabanti, 2017. "Fluctuation theorems for total entropy production in generalized Langevin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 133-139.
    2. Van den Broeck, C. & Esposito, M., 2015. "Ensemble and trajectory thermodynamics: A brief introduction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 418(C), pages 6-16.
    3. Olivares-Rivas, Wilmer & Colmenares, Pedro J., 2016. "The generalized Langevin equation revisited: Analytical expressions for the persistence dynamics of a viscous fluid under a time dependent external force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 76-94.
    4. Hidalgo-Gonzalez, J.C. & Jiménez-Aquino, J.I. & Romero-Bastida, M., 2016. "Non-Markovian Brownian motion in a magnetic field and time-dependent force fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1128-1147.
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    Cited by:

    1. Ares de Parga, G. & Sánchez-Salas, N. & Jiménez-Aquino, J.I., 2022. "Electronic plasma Brownian motion with radiation reaction force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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