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arXiv · 2010.04231

Entropy production in exactly solvable systems

Luca Cocconi·Rosalba Garcia-Millan·Zigan Zhen·Bianca Buturca·Gunnar Pruessner
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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 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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BibTeXRIS

Luca Cocconi, Rosalba Garcia-Millan, Zigan Zhen, Bianca Buturca, Gunnar Pruessner. 2020-10-08. Entropy production in exactly solvable systems. https://doi.org/10.3390/e22111252

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