STABILITY AND FLUCTUATIONS OF A SPATIALLY PERIODIC CONVECTIVE FLOW

被引：148

作者：

POMEAU, Y

MANNEVILLE, P

机构：

来源：

JOURNAL DE PHYSIQUE LETTRES | 1979年 / 40卷 / 23期

关键词：

FLUID DYNAMICS - Mathematical Models;

D O I：

10.1051/jphyslet:019790040023060900

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The onset of convection for a roll instability is analyzed using a model equation. The wavelength increase follows from a variational approach. For certain wavelengths, phase diffusion turns out to be unstable against compression (or dilatation) and torsion of the rolls. Thermal phase fluctuations induce a tiny brownian motion of the structure which should be observable in carefully designed experiments such as Rayleigh-Benard in liquid helium or Carr-Helfrich in nematic liquid crystals.

引用

页码：L609 / L612

页数：4

共 17 条

[1] EVOLUTION OF TURBULENCE FROM RAYLEIGH-BENARD INSTABILITY [J].

AHLERS, G ;

BEHRINGER, RP .

PHYSICAL REVIEW LETTERS, 1978, 40 (11) :712-716

[2]

BALESCU R, 1975, EQUILIBRIUM NONEQUIL, pCH13

[3]

BERGE P, 1974, PHYS REV LETT, V32

[4]

BROWN SN, 1977, STUD APPL MATH, V57, P187

[5]

Eckhaus W., 1965, STUDIES NONLINEAR ST

[6]

GOOSSENS WJA, 1978, ADV LIQ CRYST, V3

[7]

GRAHAM R, 1975, FLUCTUATIONS INSTA B, V11

[8] HEAT-TRANSFER THROUGH A SHALLOW, HORIZONTAL CONVECTING FLUID LAYER [J].

KOSCHMIEDER, EL ;

PALLAS, SG .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1974, 17 (09) :991-1002

[9]

Landau L.D., 1944, DOKL AKAD NAUK SSSR, V44, P339

[10]

LIBCHABER A, 1978, J PHYS LETT-PARIS, V39, pL369

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