Longitudinal and transverse forces on a vortex in superfluid $^4$He

Details Longitudinal and transverse forces on a vortex in superfluid $^4$He Longitudinal and transverse forces on a vortex in superfluid $^4$He

1998-11-26

arxiv.org/abs/cond-mat/9811381v2

J. Phys.: Condens. Matter 11 (1999) 10277-10284

Physics

Condensed Matter

10 pages, 2 figures, latex2e (iopart.cls), enlarged version submitted to J. Phys.: Condensed Matter

Scientific paper

10.1088/0953-8984/11/50/320

We examine the transverse and longitudinal components of the drag force upon a straight vortex line due to the scattering of liquid $^4$He excitations. For this purpose, we consider a recently proposed Hamiltonian that describes the dissipative motion of a vortex, giving an explicit expression for the vortex-quasiparticle interaction. The involved dissipative coefficients are obtained in terms of the reservoir correlation function. Most of our explicit calculations are concerned to the range of temperatures below 0.4 K, at which the reservoir is composed by phonon quasiparticle excitations. We also discuss some important implications in the determination of possible scattering processes leading to dissipation, according to the values of vortex mass found in the literature.

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