A. S. Mikhailov, I. V. Uporov, “Critical phenomena in media with breeding, decay, and diffusion”, UFN, 144:1 (1984), 79–112; Phys. Usp., 27:9 (1984), 695

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Uspekhi Fizicheskikh Nauk, 1984, Volume 144, Number 1, Pages 79–112
DOI: https://doi.org/10.3367/UFNr.0144.198409c.0079 (Mi ufn8545)

This article is cited in 51 scientific papers (total in 51 papers)

REVIEWS OF TOPICAL PROBLEMS

Critical phenomena in media with breeding, decay, and diffusion

A. S. Mikhailov, I. V. Uporov

Lomonosov Moscow State University

Full-text PDF (2634 kB) Citations (51)

DOI: https://doi.org/10.3367/UFNr.0144.198409c.0079

Abstract: This review is devoted to critical phenomena such as the threshold of explosive instability and kinetic transitions of the “medium populating” type in nonequilibrium systems with breeding, decay, and diffusion. A detailed analysis is made of the situation where breeding is localized within particular spatial regions (breeding centers) which arise randomly in the medium at arbitrary times and have finite lifetimes. The analogy with problems in percolation theory and second- order equilibrium phase transitions is discussed. The effect of fluctuations in external fields on competition processes in media with diffusion is examined. Diffusion in a medium with randomly distributed traps is investigated and particular attention is devoted to the contribution of statistically rare spatial configurations.

English version:
Physics–Uspekhi, 1984, Volume 27, Issue 9, Pages 695–714
DOI: https://doi.org/10.1070/PU1984v027n09ABEH004156

Document Type: Article

UDC: 539.01

PACS: 64.60.Ak, 64.60.Fr

Language: Russian

Citation: A. S. Mikhailov, I. V. Uporov, “Critical phenomena in media with breeding, decay, and diffusion”, UFN, 144:1 (1984), 79–112; Phys. Usp., 27:9 (1984), 695–714

Citation in format AMSBIB

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\jour Phys. Usp.

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Linking options:

https://www.mathnet.ru/eng/ufn8545

https://www.mathnet.ru/eng/ufn/v144/i1/p79

This publication is cited in the following 51 articles:

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D. I. Iudin, “Lightning-Discharge Initiation as a Noise-Induced Kinetic Transition”, Radiophys Quantum El, 60:5 (2017), 374
Ya. A. Sychikova, “Osobennosti formirovaniya klasterov na poverkhnosti poluprovodnikovykh kristallov gruppy A3V5”, Comp. nanotechnol., 2016, no. 1, 40–44
V. I. Klyatskin, “Stochastic structure formation in random media”, Phys. Usp., 59:1 (2016), 67–95
Zhengguo Pu, Jun Zhang, Su Yi, Dajun Wang, Wenxian Zhang, “Magnetic-field-induced dynamical instabilities in an antiferromagnetic spin-1 Bose-Einstein condensate”, Phys. Rev. A, 93:5 (2016)
E. Yu. Beliayev, “A “double exponential” increase in conductivity due to explosive crystallization of the amorphous layer of ultra-thin quench-condensed gold film”, Low Temperature Physics, 42:9 (2016), 772
Oleg A. Romanovskii, A. A. Zemlyanov, A. D. Bulygin, 21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics, 9680, 21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics, 2015, 96802A
A. D. Bulygin, “Kinetic equation in the self-consistent field approximation for the number density of filaments forming in the propagation of femtosecond laser radiation”, Atmos Ocean Opt, 27:4 (2014), 317
V. I. Klyatskin, “Clustering of a positive random field as a law of Nature”, Theoret. and Math. Phys., 176:3 (2013), 1252–1266
V. I. Klyatskin, “On the statistical theory of spatial structure formation in random media”, Russ. J. Math. Phys., 20:3 (2013), 295
V. I. Klyatskin, “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems”, Phys. Usp., 54:5 (2011), 441–464
P L Krapivsky, K Mallick, “Diffusion and multiplication in random media”, J. Stat. Mech., 2011:01 (2011), P01015
S. E. Kurushina, A. A. Ivanov, Yu. V. Zhelnov, I. P. Zavershinskii, V. V. Maksimov, “Modelirovanie prostranstvenno-vremennykh struktur v sisteme khischnik-zhertva vo vneshnei fluktuiruyuschei srede”, Matem. modelirovanie, 22:10 (2010), 3–17
S. E. Kurushina, Yu. V. Zhelnov, I. P. Zavershinskii, V. V. Maksimov, “Obrazovanie dissipativnykh struktur v dvukhkomponentnykh sistemakh tipa reaktsiya-diffuziya vo fluktuiruyuschei srede”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(20) (2010), 143–153
L. I. Gromova, S. E. Kurushina, A. A. Ivanov, “Matematicheskoe modelirovanie kontrastnykh dissipativnykh struktur v pole fluktuatsii dinamicheskikh peremennykh”, Vestn. SamGU. Estestvennonauchn. ser., 2009, no. 6(72), 74–84
T. E. Val'chuk, E. I. Mogilevsky, “Discreteness of spatial-temporal manifestations of solar activity and solar-terrestrial phenomena”, Geomagn. Aeron., 49:5 (2009), 551
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Yu. A. Makhnovskii, A. M. Berezhkovskii, I. V. Grigor'ev, “Kinetics of Brownian particle trapping by randomly distributed traps of various sizes”, J. Exp. Theor. Phys., 94:2 (2002), 403
Alexander V Bogdanov, Ashot S Gevorkyan, “New perturbation theory for the nonstationary anharmonic oscillator”, J. Phys. A: Math. Gen., 30:21 (1997), 7413

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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