Martin, RJ;
Ford, IJ;
(2020)
Stochastic entropy production in diffusive systems.
Journal of Physics A: Mathematical and Theoretical
, 53
(25)
, Article 255001. 10.1088/1751-8121/ab78d0.
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Abstract
Computing the stochastic entropy production associated with the evolution of a stochastic dynamical system is a well-established problem. In a small number of cases such as the Ornstein–Uhlenbeck process, of which we give a complete exposition, the distribution of entropy production can be obtained analytically. For a general potential it is much harder. A recent development in solving the Fokker–Planck equation, in which the solution is written as a product of positive functions, addresses any system governed by the condition of detailed balance, thereby permitting nonlinear potentials. Using examples in one and higher dimension, we demonstrate how such a framework is very convenient for the computation of stochastic entropy production in diffusion processes.
| Type: | Article |
|---|---|
| Title: | Stochastic entropy production in diffusive systems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1751-8121/ab78d0 |
| Publisher version: | https://doi.org/10.1088/1751-8121/ab78d0 |
| Language: | English |
| Additional information: | Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence (https://creativecommons.org/licenses/by/4.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| Keywords: | stochastic entropy production, diffusion, Ornstein–Uhlenbeck process, Brownian motion |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS 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 |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10101273 |
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