超流-固~ 4 He界面结晶波的Rayleigh-Taylor不稳定性
Rayleigh-Taylor instability of crystallization waves at the superfluid-solid 4He interface
摘要：
在超流-固~ 4 He界面上存在结晶波，它与两种正常流体界面上的重力-毛细波有许多共同之处。Rayleigh-Taylor不稳定性是当较轻的流体推动较重的流体时，界面的不稳定性可以实现。我们在这里调查的超流-固体4 He界面的瑞利-泰勒不稳定性的类似物。在均匀加速界面的情况下，只有当加速度的大小超过与表面刚度无关的某个临界值时，才发生增长固相的不稳定性。对于脉冲加速界面的Richtmyer-Meshkov极限情况，不稳定性的发生不依赖于界面加速度的符号。在这两种情况下，结晶波阻尼的作用是降低泰勒不稳定界面的扰动增长率。
英文摘要：
At the superfluid-solid 4He interface there exist crystallization waves having much in common with gravitational-capillary waves at the interface between two normal fluids. The Rayleigh-Taylor instability is an instability of the interface which can be realized when the lighter fluid is propelling the heavier one. We investigate here the analogues of the Rayleigh-Taylor instability for the superfluid-solid 4He interface. In the case of a uniformly accelerated interface the instability occurs only for a growing solid phase when the magnitude of the acceleration exceeds some critical value independent of the surface stiffness. For the Richtmyer-Meshkov limiting case of an impulsively accelerated interface, the onset of instability does not depend on the sign of the interface acceleration. In both cases the effect of crystallization wave damping is to reduce the perturbation growth-rate of the Taylor unstable interface.
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