Dissipative dynamics of vortex lines in superfluid 4 He
نویسنده
چکیده
We propose a Hamiltonian model that describes the interaction between a vortex line in superfluid 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. PACS Numbers:67.40.Fd,05.40.+j,67.40.Vs,67.40.Db Typeset using REVTEX 1
منابع مشابه
Dynamics of vortices and interfaces in superfluid 3
Rapid new developments have occurred in superfluid hydrodynamics since the discovery of a host of unusual phenomena which arise from the diverse structure and dynamics of quantized vortices in He superfluids. These have been studied in rotating flow with NMR measurements which at best provide an accurate mapping of the different types of topological defects in the superfluid order parameter fie...
متن کاملCascade process of vortex tangle dynamics in superfluid He without mutual friction
Recently the Kelvin wave cascade process in superfluid He at very low temperatures was discussed. In this mechanism, the dynamics of the waves on the vortex lines plays an important role. In order to investigate this mechanism, we study numerically the dynamics of the waves on the reconnected vortex lines using the full Biot-Savart law. This work shows the reconnection of two vortices leads to ...
متن کاملExperiments on the vortex dynamics in superfluid He with no normal component
We report results from ongoing experiments on the dynamics of quantized vortices in superfluid He at temperatures below 0.2 K. Charged vortex rings of micron size were used to detect the presence of vortices, to create a turbulent tangle, and to charge an array of rectilinear vortex lines. The results reveal that the ion technique has great potential for the study of vortices in He at very low ...
متن کاملd - m at / 0 60 85 37 v 1 [ co nd - m at . s of t ] 2 4 A ug 2 00 6 Transition to Superfluid Turbulence
Turbulence in superfluids depends crucially on the dissipative damping in vortex motion. This is observed in the B phase of superfluid 3 He where the dynamics of quantized vortices changes radically in character as a function of temperature. An abrupt transition to turbulence is the most peculiar consequence. As distinct from viscous hydrodynamics, this transition to turbulence is not governed ...
متن کاملVortex Dynamics in Dissipative Systems
We derive the exact equation of motion for a vortex in twoand three-dimensional nonrelativistic systems governed by the Ginzburg-Landau equation with complex coefficients. The velocity is given in terms of local gradients of the magnitude and phase of the complex field and is exact also for arbitrarily small intervortex distances. The results for vortices in a superfluid or a superconductor are...
متن کامل