Dissipative dynamics of vortex lines in superfluid $^{4}$He

Details Dissipative dynamics of vortex lines in superfluid $^{4}$He Dissipative dynamics of vortex lines in superfluid $^{4}$He

1996-09-14

arxiv.org/abs/cond-mat/9609129v1

Phys. Rev. B 55, 3792 (1997)

Physics

Condensed Matter

16 pages, no figures, to be published in PRB

Scientific paper

10.1103/PhysRevB.55.3792

We propose a Hamiltonian model that describes the interaction between a vortex line in superfluid $^{4}$He and the gas of elementary excitations. An equation of irreversible motion for the density operator of the vortex, regarded as a macroscopic quantum particle with a finite mass, is derived in the frame of Generalized Master Equations. This enables us to cast the effect of the coupling as a drag force with one reactive and one dissipative component, in agreement with the assumption of the phenomenological theories of vortex mutual friction in the two fluid model.

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