Nonuniversal Power-Law Spectra in Turbulent Systems

被引：16

作者：

Bratanov, V. ^{[1
]}

Jenko, F. ^{[1
]}

Hatch, D. R. ^{[1
,2
]}

Wilczek, M. ^{[3
]}

机构：

[1] Max Planck Inst Plasma Phys, EURATOM Assoc, D-85748 Garching, Germany

[2] Univ Texas Austin, Inst Fus Studies, Austin, TX 78712 USA

[3] Johns Hopkins Univ, Dept Mech Engn, Baltimore, MD 21218 USA

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 07期

基金：

欧洲研究理事会;

关键词：

Condensed matter physics;

D O I：

10.1103/PhysRevLett.111.075001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be observed. As a simple model for such situations, a modified version of the Kuramoto-Sivashinsky equation is studied. By means of semianalytical and numerical studies, one finds power laws with nonuniversal exponents in the spectral range for which the ratio of nonlinear and linear time scales is (roughly) scale independent.

引用

页数：5

共 17 条

[1] NONLINEAR SATURATION OF DISSIPATIVE TRAPPED-ION MODE BY MODE-COUPLING [J].

COHEN, BI ;

KROMMES, JA ;

TANG, WM ;

ROSENBLUTH, MN .

NUCLEAR FUSION, 1976, 16 (06) :971-992

[2] Exponential time differencing for stiff systems [J].

Cox, SM ;

Matthews, PC .

JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 176 (02) :430-455

[3] Interstellar turbulence I: Observations and processes [J].

Elmegreen, BG ;

Scalo, J .

ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 2004, 42 :211-273

[4] SPECTRUM AND ENERGY-TRANSFER IN STEADY BURGERS TURBULENCE [J].

GIRIMAJI, SS ;

ZHOU, Y .

PHYSICS LETTERS A, 1995, 202 (04) :279-287

[5] Scale separation between electron and ion thermal transport [J].

Goerler, T. ;

Jenko, F. .

PHYSICAL REVIEW LETTERS, 2008, 100 (18)

[6] Wave-Number Spectrum of Drift-Wave Turbulence [J].

Gurcan, O. D. ;

Garbet, X. ;

Hennequin, P. ;

Diamond, P. H. ;

Casati, A. ;

Falchetto, G. L. .

PHYSICAL REVIEW LETTERS, 2009, 102 (25)

[7] Astrophysical gyrokinetics: Basic equations and linear theory [J].

Howes, Gregory G. ;

Cowley, Steven C. ;

Dorland, William ;

Hammett, Gregory W. ;

Quataert, Eliot ;

Schekochihin, Alexander A. .

ASTROPHYSICAL JOURNAL, 2006, 651 (01) :590-614

[8] Fourth-order time-stepping for stiff PDEs [J].

Kassam, AK ;

Trefethen, LN .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 26 (04) :1214-1233

[9]

Kolmogorov A. N., 1941, Dokl. Akad. Nauk SSSR, V31, P99

[10] REDUCTIVE PERTURBATION APPROACH TO CHEMICAL INSTABILITIES [J].

KURAMOTO, Y ;

TSUZUKI, T .

PROGRESS OF THEORETICAL PHYSICS, 1974, 52 (04) :1399-1401

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