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Reviews of topical problems


Ìaximum entropy production principle: history and current status

†  a, b
a Institute of Industrial Ecology Ural Branch of RAS, Sof'ya Kovalevskaya str. 20-a, Ekaterinburg, 620219, Russian Federation
b Ural Federal University named after the First President of Russia B N Yeltsin, prosp. Mira 19, Ekaterinburg, 620002, Russian Federation

The maximum entropy production principle (MEPP) was repeatedly and independently proposed in the mid-20th century in various fields of physics and proved to be extremely effective in various nonequilibrium problems. We describe the main areas of research that laid the foundations for this principle and discuss its modern form and limitations. We give special attention to a discussion of nonequilibrium phase transitions based on the MEPP and to the relation between the MEPP and other known assertions about the behavior of entropy. We discuss the role of this principle in the analysis of various modern problems in both physics and biology, including the laws of evolution and the definition of life.

Fulltext pdf (957 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.08.038819
Keywords: entropy production, nonequilibrium thermodynamics, nonequilibrium phase transitions, evolution
PACS: 01.65.+g, 05.65.+b, 05.70.Ln, 87.23.−n (all)
DOI: 10.3367/UFNe.2020.08.038819
URL: https://ufn.ru/en/articles/2021/6/b/
000691293300002
2-s2.0-85114964331
2021PhyU...64..558M
Citation: Martyushev L M "Ìaximum entropy production principle: history and current status" Phys. Usp. 64 558–583 (2021)
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Received: 24th, April 2020, revised: 13th, August 2020, 13th, August 2020

Îðèãèíàë: Ìàðòþøåâ Ë Ì «Ïðèíöèï ìàêñèìóìà ïðîèçâîäñòâà ýíòðîïèè: èñòîðèÿ âîçíèêíîâåíèÿ è ñîâðåìåííîå ñîñòîÿíèå» ÓÔÍ 191 586–613 (2021); DOI: 10.3367/UFNr.2020.08.038819

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