Low Temperature Physics: 29, 495 (2003); https://doi.org/10.1063/1.1542536 (4 pages)
Fizika Nizkikh Temperatur: Volume 29, Number 6 (June 2003), p. 667-671    ( to contents , go back )

Second-sound nonlinear waves in superfluid 4He-3He mixtures

G.V. Kolmakov

Institute of Solid State Physics of Russian Academy of Sciences, Chernogolovka, Moscow district, 142432, Russia
E-mail: german@issp.ac.ru
pos Анотація:

Received Desember 19, 2002

Abstract

The Hamiltonian formalism in two-fluid hydrodynamics is generalized to superfluid 4He-3He mixtures. It is used to calculate the coefficient of three-wave interaction and the nonlinearity coefficient of second sound in He II admixed with 3He. It is shown that the temperature which results in a negative-positive sign change for the second-sound nonlinearity factor decreases from 1.88 to 1.7 K as 10% of 3He are introduced in superfluid 4He. Thus, for dilute 4He-3He solutions these exists a rather wide temperature range below the temperature of superfluid transition Tl where the second-sound nonlinearity coefficient is negative and the shock front is formed at the back side of nonlinear second sound wave of heating.

PACS:
67.40.Pm - Transport processes, second and other sounds, and thermal counterflow; Kapitza resistance
67.40.Mj - First sound

Download 92345 byte View Contents