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Stochastic thermodynamics in a non-Markovian dynamical system

Cockrell, C; Ford, IJ; (2022) Stochastic thermodynamics in a non-Markovian dynamical system. Physical Review E , 105 , Article 064124. 10.1103/PhysRevE.105.064124. Green open access

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Abstract

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme involves coupling the system to an environment—typically a source of Markovian noise that affects the dynamics of the system. Here we extend this framework to consider a non-Markovian environment, one whose dynamics have memory and which create additional correlations with the system variables, and illustrate this with a selection of simple examples. Such an environment produces a rich variety of behavior. In particular, for a case of thermal relaxation, the distributions of entropy produced under the non-Markovian dynamics differ from the equivalent case of Markovian dynamics only by a delay time. When a time-dependent external work protocol is turned on, the system's correlations with the environment can either assist or hinder its approach to equilibrium, and affect its production of entropy, depending on the coupling strength between the system and environment.

Type: Article
Title: Stochastic thermodynamics in a non-Markovian dynamical system
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.105.064124
Publisher version: https://doi.org/10.1103/PhysRevE.105.064124
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10152579
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