Vacancy distribution in a rotating solid ⁴He

D. I. Pushkarov^a

Institute of Metal Science, Equipment and Technologies with Center for Hydro and Aerodynamics, Bulgarian Academy of Sciences - Sofia, Bulgaria, EU

^a Dimitar.Pushkarov@gmail.com

Received: 16 January 2012
Accepted: 9 February 2012

Abstract

Vacancy distribution is considered in a rotating solid ⁴He immersed in a superfluid helium-II. Vacancies are considered as a quasiparticle gas of vacancions with a gap dispersion law. It is shown that the radial distribution depends on Poisson's ratio and practically not on Young's modulus. The treatment is based on a nonlinear theory unifying the elasticity theory equations and a Boltzmann-type transport equation valid for arbitrary angular velocities. The situation simulates, in a sense, the Kim and Chan rotational experiments where nonclassical inertia was observed. The model cannot be applied to solid ³He. We do not presuppose in this work any supersolid fraction.