scholarly journals Kinetic-equation approach to diffusive superconducting hybrid devices

1996 ◽  
Vol 53 (21) ◽  
pp. 14496-14505 ◽  
Author(s):  
T. H. Stoof ◽  
Yu. V. Nazarov
1988 ◽  
Vol 66 (4) ◽  
pp. 341-348
Author(s):  
M. A. Diaz ◽  
F. Palomares ◽  
J. Veguillas

An explicit spectral function for nonresonant transitions has been derived that includes pressure broadening, Doppler broadening, and diffusional narrowing. This has been accomplished through a kinetic-equation approach. The kinetic equation has been resolved by using an extension of the Bhatnagar–Gross–Krook collision model to inelastic collisions, characterized by two collision frequencies: one associated with elastic collisions and the other associated with inelastic ones. The high- and low-density limits have been discussed, and the standard formula for Debye relaxation has been reproduced. Finally, a discussion concerning the above aspects and their possible extensions has been included as well.


2012 ◽  
Vol 42 (5) ◽  
pp. 669-691 ◽  
Author(s):  
Yuri V. Lvov ◽  
Kurt L. Polzin ◽  
Naoto Yokoyama

Abstract The spectral energy density of the internal waves in the open ocean is considered. The Garrett and Munk spectrum and the resonant kinetic equation are used as the main tools of the study. Evaluations of a resonant kinetic equation that suggest the slow time evolution of the Garrett and Munk spectrum is not in fact slow are reported. Instead, nonlinear transfers lead to evolution time scales that are smaller than one wave period at high vertical wavenumber. Such values of the transfer rates are inconsistent with the viewpoint expressed in papers by C. H. McComas and P. Müller, and by P. Müller et al., which regards the Garrett and Munk spectrum as an approximate stationary state of the resonant kinetic equation. It also puts the self-consistency of a resonant kinetic equation at a serious risk. The possible reasons for and resolutions of this paradox are explored. Inclusion of near-resonant interactions decreases the rate at which the spectrum evolves. Consequently, this inclusion shows a tendency of improving of self-consistency of the kinetic equation approach.


1982 ◽  
Vol 25 (2) ◽  
pp. 561-578 ◽  
Author(s):  
P. K. Aravind ◽  
A. Holas ◽  
K. S. Singwi

1969 ◽  
Vol 188 (1) ◽  
pp. 487-504 ◽  
Author(s):  
J. L. Lebowitz ◽  
J. K. Percus ◽  
J. Sykes

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