caa a22 4500 445365935 CHVBK 20180317142930.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10909-010-0274-4 doi (NATIONALLICENCE)springer-10.1007/s10909-010-0274-4 Hydrodynamic Instability During Non-uniform Growth of a Helium Crystal [Elektronische Daten] [L. Dubovskii, S. Burmistrov, V. Tsymbalenko] The Rayleigh-Taylor instability (Taylor in Proc. R. Soc. Lond. Ser. A 201:192, 1950) is an instability of the interface which can be realized when the lighter fluid is propelling the heavier one. We analyze an analog of the hydrodynamic Rayleigh-Taylor instability for the superfluid-solid 4He interface under non-uniform growth rate of the solid phase. The development of the interface instability starts with an accelerated interface growth rate and provided that the magnitude of interface acceleration exceeds some critical value independent of the surface stiffness. The plane and spherical shapes of the liquid-solid interface are considered. For the Richtmyer-Meshkov (Meshkov in Izv. Akad. Nauk SSSR 5:151, 1969) limiting case of an impulsively accelerated interface, the onset of instability does not depend on the sign of the interface acceleration. The investigation of the surface instability can explain the features observed in the experiment (Chavanne et al. in Phys. Rev. Lett. 86:5506-5509, 2001) where the crystal 4He nucleation is triggered by focusing an ultrasonic wave of the large amplitude. The onset and development of the instability are expected at the surface of helium crystals in the course of their abnormal fast growth under large magnitudes of overpressures (Tsymbalenko in J. Low Temp. Phys. 138:795, 2005). Springer Science+Business Media, LLC, 2010 Hydrodynamic instability nationallicence Superfluid-solid 4He interface nationallicence Crystal non-uniform growth nationallicence Dubovskii L. Kurchatov Institute, 123182, Moscow, Russia aut Burmistrov S. Kurchatov Institute, 123182, Moscow, Russia aut Tsymbalenko V. Kurchatov Institute, 123182, Moscow, Russia aut Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 162/5-6(2011-03-01), 391-398 0022-2291 162:5-6<391 2011 162 10909 https://doi.org/10.1007/s10909-010-0274-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10909-010-0274-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dubovskii L. Kurchatov Institute, 123182, Moscow, Russia aut NATIONALLICENCE 700 1- Burmistrov S. Kurchatov Institute, 123182, Moscow, Russia aut NATIONALLICENCE 700 1- Tsymbalenko V. Kurchatov Institute, 123182, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 162/5-6(2011-03-01), 391-398 0022-2291 162:5-6<391 2011 162 10909 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer