Kinetic equations for clean superconductors: Application to the flux flow hall effect
Abstract
The kinetic equations for clean superconductors (l≫ξ) are derived. Expanding the equations for the time dependent Green functions in the quasiclassical parameter, the new contributions are found which contain the derivatives of the distribution functions with respect to the quasiparticle momentum. The transition from the ultraclean case (no relaxation) to a relaxationdominated behavior, for which the kinetic equations coincide with the usual quasiclassical approximation, occurs for the relaxation time of the order of ℏE_{F}/Δ^{2}. The kinetic equations can be used for various dynamic processes in superconductors including the fluxflow Hall effect. The derived equations, after necessary modifications for the pwave pairing, are especially suitable for nonstationary problems in the theory of superfluidity of^{3}He.
 Publication:

Journal of Low Temperature Physics
 Pub Date:
 October 1994
 DOI:
 10.1007/BF00752983
 Bibcode:
 1994JLTP...97..157K
 Keywords:

 Distribution Function;
 Relaxation Time;
 Magnetic Material;
 Dynamic Process;
 Kinetic Equation