ArticleEntropy (Basel, Switzerland)2020
Entropy Production in Exactly Solvable Systems.
Article in Entropy (Basel, Switzerland), 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Metareview: a survey of active matter reviews.The European physical journal. E, Soft matter · 2025Review
- Entropy Production of Run-and-Tumble Particles.Entropy (Basel, Switzerland) · 2024Article
- Energy Conversion and Entropy Production in Biased Random Walk Processes-From Discrete Modeling to the Continuous Limit.Entropy (Basel, Switzerland) · 2023Article
- Particle entity in the Doi-Peliti and response field formalisms.Journal of physics. A, Mathematical and theoretical · 2023Article
- Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining.Physical chemistry chemical physics : PCCP · 2022Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
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.
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