Access the full text.
Sign up today, get DeepDyve free for 14 days.
Horacio Cataldo (1990)
Holomorphy of the Fourier transformed memory kernel in the quantum Langevin equationPhysics Letters A, 148
R. Donnelly, R. Hallock (1991)
Quantized Vortices in Helium II
H. Cataldo, M. Despósito, E. Hernández, D. Jezek (1997)
Coupling mechanisms for damped vortex motion in superfluidsPhysical Review B, 56
R. Ashton, W. Glaberson (1979)
Vortex Waves in Superfluid 4 HePhysical Review Letters, 42
D. Pines, P. Nozières, N. Corngold (1968)
The theory of quantum liquidsAmerican Journal of Physics, 36
He, H. Cataldo, M. Desp'osito, D. Jezek (1998)
Longitudinal and transverse forces on a vortex in superfluid 4HeJournal of Physics: Condensed Matter, 11
C. Barenghi, R. Donnelly, W. Vinen (1983)
Friction on quantized vortices in helium II. A reviewJournal of Low Temperature Physics, 52
Bobylev, Maao, Hansen, Hauge (1995)
Two-dimensional magnetotransport according to the classical Lorentz model.Physical review letters, 75 2
D. Arovas, José Freire (1996)
DYNAMICAL VORTICES IN SUPERFLUID FILMSPhysical Review B, 55
M. Thouless, Ao, Niu (1996)
Transverse force on a quantized vortex in a superfluid.Physical review letters, 76 20
R. Schlickeiser (2002)
Statistical Mechanics of Charged Particles
A. Dmitriev, M. Dyakonov, R. Jullien (2002)
Anomalous low-field classical magnetoresistance in two dimensions.Physical review letters, 89 26
F. Pistolesi (1998)
Theory and Data Analysis for Excitations in Liquid 4 He Beyond the Roton MinimumPhysical Review Letters, 81
R. Balescu, J. Mansfield (1964)
Statistical Mechanics of Charged ParticlesPhysics Today, 17
C. Wexler, D. Thouless (1998)
Scattering of Phonons by a Vortex in a SuperfluidPhysical Review B, 58
Duan (1994)
Mass of a vortex line in superfluid 4He: Effects of gauge-symmetry breaking.Physical review. B, Condensed matter, 49 17
C. Barenghi, R. Donnelly, W. Vinen (1985)
Thermal excitation of waves on quantized vorticesPhysics of Fluids, 28
The dissipative dynamics of a vortex line in a superfluid is investigated within the frame of a non-Markovian quantal Brownian motion model. Our starting point is a recently proposed interaction Hamiltonian between the vortex and the superfluid quasiparticle excitations, which is generalized to incorporate the effect of scattering from fermion impurities (3He atoms). Thus, a non-Markovian equation of motion for the mean value of the vortex position operator is derived within a weak-coupling approximation. Such an equation is shown to yield, in the Markovian and elastic scattering limits, a 3He contribution to the longitudinal friction coefficient equivalent to that arising from the Rayfield–Reif formula. Simultaneous Markov and elastic scattering limits are found, however, to be incompatible, since an unexpected breakdown of the Markovian approximation is detected at low cyclotron frequencies. Then, a non-Markovian expression for the longitudinal friction coefficient is derived and computed as a function of temperature and 3He concentration. Such calculations show that cyclotron frequencies within the range 0.01–0.03 ps −1 yield a very good agreement to the longitudinal friction figures computed from the Iordanskii and Rayfield–Reif formulas for pure 4He, up to temperatures near 1 K. A similar performance is found for nonvanishing 3He concentrations, where the comparison is also shown to be very favourable with respect to the available experimental data. Memory effects are shown to be weak and increasing with temperature and concentration.
Journal of Low Temperature Physics – Springer Journals
Published: Oct 5, 2004
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.