Мaximum entropy production principle: history and current status

L.M. Martyushev^†^a, b
^aInstitute of Industrial Ecology Ural Branch of RAS, Sof'ya Kovalevskaya str. 20-a, Ekaterinburg, 620219, Russian Federation
^bUral 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.

Correspondence should be addressed to ^†leonidmartyushev@gmail.com
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/
Web of Science

000691293300002
Scopus

2-s2.0-85114964331
ADS NASA

2021PhyU...64..558M
Citation: Martyushev L M "Мaximum 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, accepted: 13th, August 2020

Оригинал: Мартюшев Л М «Принцип максимума производства энтропии: история возникновения и современное состояние» УФН 191 586–613 (2021); DOI: 10.3367/UFNr.2020.08.038819

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