Reviews of topical problems

aximum 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 BN 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.

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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
Citation: Martyushev L M "aximum 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

:    « : » 191 586–613 (2021); DOI: 10.3367/UFNr.2020.08.038819

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