Kinetic theory of fluctuations near a convective instability
type: Item
instance of: scholarly article
title: Kinetic theory of fluctuations near a convective instability
zbMATH Open document ID: 0583.76048
DOI: 10.1007/BF01018838
author: T. R. Kirkpatrick
author: E. G. D. Cohen
published in: Journal of Statistical Physics
publication date: 1983-01-01T00:00:00Z
review text: The kinetic theory of density and velocity fluctuations below and above the first convective instability in a Bénard cell is presented. Results are given in a form valid for all fluid densities. In particular, the singular behaviour near the instability point is computed and a detailed comparison with that near a critical point is made. Mode coupling effects, involving the viscous and the heat mode, that determine the singular behavior of the thermal conductivity near the critical point, are also responsible for the singular behavior of the pair correlation function and in particular the density-density correlation function near the instability point. The anomalous density fluctuations could be measured directly by microwave scattering experiments, while the velocity fluctuation could be measured by laser Doppler velocimetry.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 82D15
zbMATH DE Number: 3934613
zbMATH Keywords: density fluctuations
zbMATH Keywords: velocity fluctuations
zbMATH Keywords: first convective instability
zbMATH Keywords: Bénard cell
zbMATH Keywords: singular behaviour
zbMATH Keywords: critical point
zbMATH Keywords: Mode coupling effects
zbMATH Keywords: heat mode
zbMATH Keywords: thermal conductivity
zbMATH Keywords: pair correlation function
zbMATH Keywords: density-density correlation function
zbMATH Keywords: anomalous density fluctuations
zbMATH Keywords: microwave scattering
zbMATH Keywords: Doppler velocimetry
MaRDI profile type: Publication
cites work: Mode−mode coupling theory of the heat convection threshold
cites work: On the stability of steady finite amplitude convection
cites work: Q4114881
cites work: Finite bandwidth, finite amplitude convection
description: scientific article; zbMATH DE number 3934613