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

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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… Click to show full abstract

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.

Keywords: potential; harmonic potential; dependent harmonic; non markovian; time dependent; work

Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2019

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