Detailed Jarzynski Equality applied on a Logically Irreversible Procedure

Antoine Bérut; Artyom Petrosyan; Sergio Ciliberto

Detailed Jarzynski Equality applied on a Logically Irreversible Procedure

Antoine Bérut ¹ Artyom Petrosyan ¹ Sergio Ciliberto ¹

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

Abstract : A single bit memory system is made with a brownian particle held by an optical tweezer in a double-well potential and the work necessary to erase the memory is measured. We show that the minimum of this work is close to the Landauer's bound only for very slow erasure procedure. Instead a detailed Jarzynski equality allows us to retrieve the Landauer's bound independently on the speed of this erasure procedure. For the two separated subprocesses, i.e. the transition from state 1 to state 0 and the transition from state 0 to state 0, the Jarzynski equality does not hold but the generalized version links the work done on the system to the probability that it returns to its initial state under the time-reversed procedure.

Keywords : optical tweezers stochastic thermodynamics Jarzynski equality Landauer principle

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Statistical Mechanics [cond-mat.stat-mech]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00789722
Contributor : Sergio Ciliberto <>
Submitted on : Sunday, June 1, 2014 - 6:50:46 PM
Last modification on : Thursday, April 19, 2018 - 2:54:04 PM
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Detailed Jarzynski Equality applied on a Logically Irreversible Procedure

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Detailed Jarzynski Equality applied on a Logically Irreversible Procedure

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