Entropy Production in Exactly Solvable Systems
The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which global detailed balance and time-reversal symmetry are broken. Despite abundant references to entropy production in the litera...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/22/11/1252 |
| _version_ | 1797548933595004928 |
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| author | Luca Cocconi Rosalba Garcia-Millan Zigan Zhen Bianca Buturca Gunnar Pruessner |
| author_facet | Luca Cocconi Rosalba Garcia-Millan Zigan Zhen Bianca Buturca Gunnar Pruessner |
| author_sort | Luca Cocconi |
| collection | DOAJ |
| description | The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which global detailed balance and time-reversal symmetry are broken. Despite abundant references to entropy production in the literature and its many applications in the study of non-equilibrium stochastic particle systems, a comprehensive list of typical examples illustrating the fundamentals of entropy production is lacking. Here, we present a brief, self-contained review of entropy production and calculate it from first principles in a catalogue of exactly solvable setups, encompassing both discrete- and continuous-state Markov processes, as well as single- and multiple-particle systems. The examples covered in this work provide a stepping stone for further studies on entropy production of more complex systems, such as many-particle active matter, as well as a benchmark for the development of alternative mathematical formalisms. |
| first_indexed | 2024-03-10T15:06:48Z |
| format | Article |
| id | doaj.art-287f7f442ab84e0a89b961800fb24107 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T15:06:48Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-287f7f442ab84e0a89b961800fb241072023-11-20T19:39:40ZengMDPI AGEntropy1099-43002020-11-012211125210.3390/e22111252Entropy Production in Exactly Solvable SystemsLuca Cocconi0Rosalba Garcia-Millan1Zigan Zhen2Bianca Buturca3Gunnar Pruessner4Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UKDepartment of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UKDepartment of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UKDepartment of Physics, Imperial College London, Exhibition Road, London SW7 2AZ, UKDepartment of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UKThe rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which global detailed balance and time-reversal symmetry are broken. Despite abundant references to entropy production in the literature and its many applications in the study of non-equilibrium stochastic particle systems, a comprehensive list of typical examples illustrating the fundamentals of entropy production is lacking. Here, we present a brief, self-contained review of entropy production and calculate it from first principles in a catalogue of exactly solvable setups, encompassing both discrete- and continuous-state Markov processes, as well as single- and multiple-particle systems. The examples covered in this work provide a stepping stone for further studies on entropy production of more complex systems, such as many-particle active matter, as well as a benchmark for the development of alternative mathematical formalisms.https://www.mdpi.com/1099-4300/22/11/1252entropy productionactive matterexact resultsstochastic thermodynamics |
| spellingShingle | Luca Cocconi Rosalba Garcia-Millan Zigan Zhen Bianca Buturca Gunnar Pruessner Entropy Production in Exactly Solvable Systems Entropy entropy production active matter exact results stochastic thermodynamics |
| title | Entropy Production in Exactly Solvable Systems |
| title_full | Entropy Production in Exactly Solvable Systems |
| title_fullStr | Entropy Production in Exactly Solvable Systems |
| title_full_unstemmed | Entropy Production in Exactly Solvable Systems |
| title_short | Entropy Production in Exactly Solvable Systems |
| title_sort | entropy production in exactly solvable systems |
| topic | entropy production active matter exact results stochastic thermodynamics |
| url | https://www.mdpi.com/1099-4300/22/11/1252 |
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