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.

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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (217) Cited by (20) Similar articles (20) ↓

G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” Phys. Usp. 60 705–730 (2017)
A.V. Getling “Formation of spatial structures in Rayleigh—Bénard convection” Sov. Phys. Usp. 34 (9) 737–776 (1991)
A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” Phys. Usp. 38 1061–1097 (1995)
V.Yu. Terebizh “Image restoration with minimum a priori information” Phys. Usp. 38 137–167 (1995)
A.P. Gerasev “Nonequilibrium thermodynamics of autowave processes in a catalyst bed” Phys. Usp. 47 991–1016 (2004)
L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics” Phys. Usp. 47 749–788 (2004)
A.M. Glezer, R.V. Sundeev et al “Physics of severe plastic deformation” Phys. Usp. 66 32–58 (2023)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes” Sov. Phys. Usp. 32 416–433 (1989)
S.S. Gavrilov “Nonequilibrium transitions, chaos, and chimera states in exciton—polariton systems” Phys. Usp. 63 123–144 (2020)
D.V. Alexandrov, P.K. Galenko “Dendrite growth under forced convection: analysis methods and experimental tests” Phys. Usp. 57 771–786 (2014)
A.I. Olemskoi “Supersymmetric field theory of a nonequilibrium stochastic system as applied to disordered heteropolymers” Phys. Usp. 44 479–513 (2001)
V.K. Vanag “Study of spatially extended dynamical systems using probabilistic cellular automata” Phys. Usp. 42 413–434 (1999)
V.M. Zhdanov, V.I. Roldugin “Non-equilibrium thermodynamics and kinetic theory of rarefied gases” Phys. Usp. 41 349–378 (1998)
S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” Sov. Phys. Usp. 34 (3) 217–229 (1991)
V.A. Davydov, V.S. Zykov, A.S. Mikhailov “Kinematics of autowave structures in excitable media” Sov. Phys. Usp. 34 (8) 665–684 (1991)
M.V. Vol’kenshtein “The essence of biological evolution” Sov. Phys. Usp. 27 515–537 (1984)
E.V. Shpol’skii “Fifty years of Soviet physics” Sov. Phys. Usp. 10 678–720 (1968)
B.S. Ishkhanov, I.M. Kapitonov “Giant dipole resonance of atomic nuclei. Prediction, discovery, and research” Phys. Usp. 64 141–156 (2021)
G.I. Strelkova, V.S. Anishchenko “Spatio-temporal structures in ensembles of coupled chaotic systems” Phys. Usp. 63 145–161 (2020)

The list is formed automatically.