Static Approach to Renormalization Group Analysis of Stochastic Models with Spatially Quenched Noise

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Static Approach to Renormalization Group Analysis of Stochastic Models with Spatially Quenched Noise. / Antonov, N. V.; Kakin, P. I.; Lebedev, N. M.

в: Journal of Statistical Physics, Том 178, № 2, 01.2020, стр. 392-419.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{475119f08cae4c79907c6327bdb65e71,

title = "Static Approach to Renormalization Group Analysis of Stochastic Models with Spatially Quenched Noise",

abstract = "A new “static” renormalization group approach to stochastic models of fluctuating surfaces with spatially quenched noise is proposed in which only time-independent quantities are involved. As examples, quenched versions of the Kardar–Parisi–Zhang model and its Pavlik{\textquoteright}s modification, the Hwa–Kardar model of self-organized criticality, and Pastor–Satorras–Rothman model of landscape erosion are studied. It is shown that the logarithmic dimension in the quenched models is shifted by two units upwards in comparison to their counterparts with white in-time noise. Possible scaling regimes associated with fixed points of the renormalization group equations are found and the critical exponents are derived to the leading order of the corresponding ε expansions. Some exact values and relations for these exponents are obtained.",

keywords = "Critical exponents, Critical scaling, Renormalization group, Self-organized criticality, Stochastic growth, FIELD-THEORY, TOPOGRAPHIC SURFACES, UPPER CRITICAL DIMENSION, PHASE-TRANSITIONS, PARISI-ZHANG EQUATION, DIRECTED POLYMERS, SURFACE GROWTH, RANDOM ENVIRONMENT, CRITICAL EXPONENTS, CRITICAL-DYNAMICS",

author = "Antonov, {N. V.} and Kakin, {P. I.} and Lebedev, {N. M.}",

note = "Antonov, N.V., Kakin, P.I. & Lebedev, N.M. J Stat Phys (2020) 178: 392. https://doi.org/10.1007/s10955-019-02436-8",

year = "2020",

month = jan,

doi = "10.1007/s10955-019-02436-8",

language = "English",

volume = "178",

pages = "392--419",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Static Approach to Renormalization Group Analysis of Stochastic Models with Spatially Quenched Noise

AU - Antonov, N. V.

AU - Kakin, P. I.

AU - Lebedev, N. M.

N1 - Antonov, N.V., Kakin, P.I. & Lebedev, N.M. J Stat Phys (2020) 178: 392. https://doi.org/10.1007/s10955-019-02436-8

PY - 2020/1

Y1 - 2020/1

N2 - A new “static” renormalization group approach to stochastic models of fluctuating surfaces with spatially quenched noise is proposed in which only time-independent quantities are involved. As examples, quenched versions of the Kardar–Parisi–Zhang model and its Pavlik’s modification, the Hwa–Kardar model of self-organized criticality, and Pastor–Satorras–Rothman model of landscape erosion are studied. It is shown that the logarithmic dimension in the quenched models is shifted by two units upwards in comparison to their counterparts with white in-time noise. Possible scaling regimes associated with fixed points of the renormalization group equations are found and the critical exponents are derived to the leading order of the corresponding ε expansions. Some exact values and relations for these exponents are obtained.

AB - A new “static” renormalization group approach to stochastic models of fluctuating surfaces with spatially quenched noise is proposed in which only time-independent quantities are involved. As examples, quenched versions of the Kardar–Parisi–Zhang model and its Pavlik’s modification, the Hwa–Kardar model of self-organized criticality, and Pastor–Satorras–Rothman model of landscape erosion are studied. It is shown that the logarithmic dimension in the quenched models is shifted by two units upwards in comparison to their counterparts with white in-time noise. Possible scaling regimes associated with fixed points of the renormalization group equations are found and the critical exponents are derived to the leading order of the corresponding ε expansions. Some exact values and relations for these exponents are obtained.

KW - Critical exponents

KW - Critical scaling

KW - Renormalization group

KW - Self-organized criticality

KW - Stochastic growth

KW - FIELD-THEORY

KW - TOPOGRAPHIC SURFACES

KW - UPPER CRITICAL DIMENSION

KW - PHASE-TRANSITIONS

KW - PARISI-ZHANG EQUATION

KW - DIRECTED POLYMERS

KW - SURFACE GROWTH

KW - RANDOM ENVIRONMENT

KW - CRITICAL EXPONENTS

KW - CRITICAL-DYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85075345526&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7faf3d22-6955-3c55-b29e-9f8a12d45f93/

U2 - 10.1007/s10955-019-02436-8

DO - 10.1007/s10955-019-02436-8

M3 - Article

AN - SCOPUS:85075345526

VL - 178

SP - 392

EP - 419

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 2

ER -

ID: 50904380