Entropy production for coarse-grained dynamics
Systems out of equilibrium exhibit a net production of entropy. We study the dynamics of a stochastic system represented by a Master equation (ME) that can be modeled by a Fokker–Planck equation in a coarse-grained, mesoscopic description. We show that the corresponding coarse-grained entropy produc...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2019-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab29c0 |
| _version_ | 1797750053823053824 |
|---|---|
| author | D M Busiello J Hidalgo A Maritan |
| author_facet | D M Busiello J Hidalgo A Maritan |
| author_sort | D M Busiello |
| collection | DOAJ |
| description | Systems out of equilibrium exhibit a net production of entropy. We study the dynamics of a stochastic system represented by a Master equation (ME) that can be modeled by a Fokker–Planck equation in a coarse-grained, mesoscopic description. We show that the corresponding coarse-grained entropy production contains information on microscopic currents that are not captured by the Fokker–Planck equation and thus cannot be deduced from it. We study a discrete-state and a continuous-state system, deriving in both the cases an analytical expression for the coarse-graining corrections to the entropy production. This result elucidates the limits in which there is no loss of information in passing from a ME to a Fokker–Planck equation describing the same system. Our results are amenable of experimental verification, which could help to infer some information about the underlying microscopic processes. |
| first_indexed | 2024-03-12T16:27:17Z |
| format | Article |
| id | doaj.art-350a7c4bda7748dfb56420b50713e705 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:27:17Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-350a7c4bda7748dfb56420b50713e7052023-08-08T15:38:39ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121707300410.1088/1367-2630/ab29c0Entropy production for coarse-grained dynamicsD M Busiello0https://orcid.org/0000-0002-6754-5019J Hidalgo1A Maritan2Dipartimento di Fisica ‘G. Galilei’, INFN, Universitá di Padova, Via Marzolo 8 , I-35131 Padova, Italy; Laboratory of Statistical Biophysics, SB ITP, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015, Lausanne, SwitzerlandDipartimento di Fisica ‘G. Galilei’, INFN, Universitá di Padova, Via Marzolo 8 , I-35131 Padova, ItalyDipartimento di Fisica ‘G. Galilei’, INFN, Universitá di Padova, Via Marzolo 8 , I-35131 Padova, ItalySystems out of equilibrium exhibit a net production of entropy. We study the dynamics of a stochastic system represented by a Master equation (ME) that can be modeled by a Fokker–Planck equation in a coarse-grained, mesoscopic description. We show that the corresponding coarse-grained entropy production contains information on microscopic currents that are not captured by the Fokker–Planck equation and thus cannot be deduced from it. We study a discrete-state and a continuous-state system, deriving in both the cases an analytical expression for the coarse-graining corrections to the entropy production. This result elucidates the limits in which there is no loss of information in passing from a ME to a Fokker–Planck equation describing the same system. Our results are amenable of experimental verification, which could help to infer some information about the underlying microscopic processes.https://doi.org/10.1088/1367-2630/ab29c0entropy productioncoarse-grainingstochastic thermodynamics |
| spellingShingle | D M Busiello J Hidalgo A Maritan Entropy production for coarse-grained dynamics New Journal of Physics entropy production coarse-graining stochastic thermodynamics |
| title | Entropy production for coarse-grained dynamics |
| title_full | Entropy production for coarse-grained dynamics |
| title_fullStr | Entropy production for coarse-grained dynamics |
| title_full_unstemmed | Entropy production for coarse-grained dynamics |
| title_short | Entropy production for coarse-grained dynamics |
| title_sort | entropy production for coarse grained dynamics |
| topic | entropy production coarse-graining stochastic thermodynamics |
| url | https://doi.org/10.1088/1367-2630/ab29c0 |
| work_keys_str_mv | AT dmbusiello entropyproductionforcoarsegraineddynamics AT jhidalgo entropyproductionforcoarsegraineddynamics AT amaritan entropyproductionforcoarsegraineddynamics |