ADVANCED FIELD-THEORETICAL METHODS IN STOCHASTIC DYNAMICS AND THEORY OF DEVELOPED TURBULENCE

被引：0

作者：

Hnatic, M. ^{[1
,2
,3
]}

Honkonen, J. ^{[4
]}

Lucivjansky, T. ^{[1
,5
]}

机构：

[1] Safarik Univ, Fac Sci, Pk Angelinum 9, Kosice 04154, Slovakia

[2] SAS, Inst Expt Phys, Watsonova 47, Kosice 04001, Slovakia

[3] Joint Inst Nucl Res, BLTP, Dubna, Russia

[4] Natl Def Univ, Dept Mil Technol, Helsinki, Finland

[5] Univ Duisburg Essen, Fak Phys, D-47048 Duisburg, Germany

来源：

ACTA PHYSICA SLOVACA | 2016年 / 66卷 / 2-3期

关键词：

Stochastic dynamics; Doi formalism; Field-theoretic approach; Perturbative renormalization group; Fully developed turbulence; Processes in turbulent flows; Reaction-diffusion problems; RENORMALIZATION-GROUP ANALYSIS; INDUCED ANOMALOUS KINETICS; 3-POINT CORRELATION-FUNCTION; OPERATOR PRODUCT EXPANSION; COSMIC-RAY KINETICS; PASSIVE-SCALAR; ISOTROPIC TURBULENCE; SCALING EXPONENTS; KOLMOGOROV HYPOTHESES; MATHEMATICAL-MODELS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Selected recent contributions involving fluctuating velocity fields to the rapidly developing domain of stochastic field theory are reviewed. Functional representations for solutions of stochastic differential equations and master equations are worked out in detail with an emphasis on multiplicative noise and the inherent ambiguity of the functional method. Application to stochastic models of isotropic turbulence of multi-parameter expansions in regulators of dimensional and analytic renormalization is surveyed. Effects of the choice of the renormalization scheme are investigated. Special attention is paid to the role and properties of the minimal subtraction scheme. Analysis of the consequences of symmetry breaking of isotropic turbulence with the use of the renormalization-group method is demonstrated by the effects due to helicity, strong and weak anisotropy. A careful description is given of the influence of turbulent advection on paradigmatic reaction-diffusion problems.

引用

页码：69 / 265

页数：197

共 295 条

[1]

ADJEMIAN LT, 1989, ZH EKSP TEOR FIZ+, V95, P1272

[2] Improved E⟩ expansion in the theory of turbulence: summation of nearest singularities by inclusion of an infrared irrelevant operator [J].

Adzhemyan, L. T. ;

Hnatich, M. ;

Honkonen, J. .

EUROPEAN PHYSICAL JOURNAL B, 2010, 73 (02) :275-285

[3]

Adzhemyan L.T., 1999, Field Theoretic Renormalization Group in Fully Developed Turbulence

[4] Renormalization group in the infinite-dimensional turbulence: third-order results [J].

Adzhemyan, L. Ts ;

Antonov, N. V. ;

Gol'din, P. B. ;

Kim, T. L. ;

Kompaniets, M. V. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (49)

[5] Renormalization group approach and short-distance expansion in theory of developed turbulence: Asymptotics of the triplex equal-time correlation function [J].

Adzhemyan, LT ;

Borisenok, SV ;

Girina, VI .

THEORETICAL AND MATHEMATICAL PHYSICS, 1995, 105 (03) :1556-1565

[6] Anomalous scaling of a passive scalar advected by the Navier-Stokes velocity field: Two-loop approximation [J].

Adzhemyan, LT ;

Antonov, NV ;

Honkonen, J ;

Kim, TL .

PHYSICAL REVIEW E, 2005, 71 (01)

[7] Improved ε expansion for three-dimensional turbulence:: Summation of nearest dimensional singularities -: art. no. 055302 [J].

Adzhemyan, LT ;

Honkonen, J ;

Kompaniets, MV ;

Vasil'ev, AN .

PHYSICAL REVIEW E, 2003, 68 (05) :553021-553024

[8] Anomalous scaling of a passive scalar in the presence of strong anisotropy [J].

Adzhemyan, LT ;

Antonov, NV ;

Hnatich, M ;

Novikov, SV .

PHYSICAL REVIEW E, 2001, 63 (01)

[9] Improved ε expansion for three-dimensional turbulence:: Two-loop renormalization near two dimensions -: art. no. 036305 [J].

Adzhemyan, LT ;

Honkonen, J ;

Kompaniets, MV ;

Vasil'ev, AN .

PHYSICAL REVIEW E, 2005, 71 (03)

[10] Quantum field renormalisation group in the theory of developed turbulence [J].

Adzhemyan, LT ;

Antonov, NV ;

Vasilev, AN .

USPEKHI FIZICHESKIKH NAUK, 1996, 166 (12) :1257-1284

← 1 2 3 4 5 6 7 8 9 10 →