Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation

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Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation. / Antonov, N. V. ; Gulitskiy, N. M. ; Kakin, P.I.; Kostenko, M.M.

In: Physica Scripta, Vol. 95, No. 8, 084009, 08.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{28e6aac5044b4c948232d4466bfbd709,

title = "Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation",

abstract = "The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field theoretic renormalization group approach. The turbulent motion is described by the stochastic Navier–Stokes equation with the random stirring force whose correlation function includes two terms that allow one to account both for a turbulent fluid and for a fluid in thermal equilibrium. The renormalization group analysis performed in the leading order of perturbation theory (one-loop approximation) reveals six possible types of scaling behaviour (universality classes). The most interesting values of the spatial dimension d = 2 and 3 correspond to the universality class of a pure turbulent advection where the nonlinearity of the Kardar-Parisi-Zhang model is irrelevant.",

keywords = "Surface roughening, Non-equilibrium critical behaviour, Turbulent advection, Renormalization group, non-equilibrium critical behaviour8turbulent advection, renormalization group, surface roughening",

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

year = "2020",

month = aug,

doi = "10.1088/1402-4896/ab9f7a",

language = "English",

volume = "95",

journal = "Physica Scripta",

issn = "0031-8949",

publisher = "IOP Publishing Ltd.",

number = "8",

}

RIS

TY - JOUR

T1 - Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation

AU - Antonov, N. V.

AU - Gulitskiy, N. M.

AU - Kakin, P.I.

AU - Kostenko, M.M.

PY - 2020/8

Y1 - 2020/8

N2 - The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field theoretic renormalization group approach. The turbulent motion is described by the stochastic Navier–Stokes equation with the random stirring force whose correlation function includes two terms that allow one to account both for a turbulent fluid and for a fluid in thermal equilibrium. The renormalization group analysis performed in the leading order of perturbation theory (one-loop approximation) reveals six possible types of scaling behaviour (universality classes). The most interesting values of the spatial dimension d = 2 and 3 correspond to the universality class of a pure turbulent advection where the nonlinearity of the Kardar-Parisi-Zhang model is irrelevant.

AB - The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field theoretic renormalization group approach. The turbulent motion is described by the stochastic Navier–Stokes equation with the random stirring force whose correlation function includes two terms that allow one to account both for a turbulent fluid and for a fluid in thermal equilibrium. The renormalization group analysis performed in the leading order of perturbation theory (one-loop approximation) reveals six possible types of scaling behaviour (universality classes). The most interesting values of the spatial dimension d = 2 and 3 correspond to the universality class of a pure turbulent advection where the nonlinearity of the Kardar-Parisi-Zhang model is irrelevant.

KW - Surface roughening

KW - Non-equilibrium critical behaviour

KW - Turbulent advection

KW - Renormalization group

KW - non-equilibrium critical behaviour8turbulent advection

KW - renormalization group

KW - surface roughening

UR - https://iopscience.iop.org/article/10.1088/1402-4896/ab9f7a

UR - http://www.scopus.com/inward/record.url?scp=85088378226&partnerID=8YFLogxK

U2 - 10.1088/1402-4896/ab9f7a

DO - 10.1088/1402-4896/ab9f7a

M3 - Article

VL - 95

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 8

M1 - 084009

ER -

ID: 60531487