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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 1, Pages 50–77
DOI: https://doi.org/10.4213/tmf6625
(Mi tmf6625)
 

This article is cited in 5 scientific papers (total in 5 papers)

The effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems

N. V. Antonov, A. V. Malyshev

Fock Institute of Physics, St.~Petersburg State University, St.~Petersburg, Russia
Full-text PDF (533 kB) Citations (5)
References:
Abstract: We consider the effect of strongly anisotropic turbulent mixing on the critical behavior of two systems: a $\varphi^{3}$ critical dynamics model describing universal properties of metastable states in the vicinity of a first-order phase transition and a reaction–diffusion system near the point of a second-order transition between fluctuation and absorption states (a simple epidemic process or the Gribov process). In both cases, we demonstrate the existence of a new strongly nonequilibrium, anisotropic scaling regime (universality class) for which both the mixing and the nonlinearity in the order parameter are relevant. We evaluate the corresponding critical dimensions in the one-loop approximation of the renormalization group.
Keywords: critical behavior, turbulent mixing, renormalization group.
Received: 16.06.2010
Revised: 15.10.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 1, Pages 444–467
DOI: https://doi.org/10.1007/s11232-011-0034-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. V. Antonov, A. V. Malyshev, “The effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems”, TMF, 167:1 (2011), 50–77; Theoret. and Math. Phys., 167:1 (2011), 444–467
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6625
  • https://doi.org/10.4213/tmf6625
  • https://www.mathnet.ru/eng/tmf/v167/i1/p50
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:451
    Full-text PDF :194
    References:70
    First page:11
     
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