J. Phys. I France
Volume 2, Number 4, April 1992
Page(s) 433 - 441
DOI: 10.1051/jp1:1992155
J. Phys. I France 2 (1992) 433-441

The effect of heat currents on the stability of the liquid solid interface

R. M. Bowley and P. Nozières

Institute Laue-Langevin, BP 156, 38042 Grenoble Cedex 9, France

(Received 7 October 1991, accepted 6 January 1992)

Rapid changing of the temperature of a liquid in equilibrium with its solid can lead to instabilities of the interface in two ways : the change in pressure, induced by a temperature change at the interface, leads to a uniaxial stress which can cause a Grinfeld instability at the capillary wavelength ; a temperature gradient is set up which modifies the effective gravity at the interface. When the effective gravity becomes negative, the interface is unstable at very long wavelengths. For a superfluid, such as 4He, the situation is more complex. If we ignore surface dissipation, there is still a small critical temperature gradient across the solid above which the interface is unstable. However surface dissipation - in particular the growth resistance - pushes the instability to huge temperature gradients, ones which cannot be realised experimentally. The only instability that can be seen is caused by uniaxial stress.

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