TIME VARIATION OF THE GINZBURG-LANDAU ORDER PARAMETER.
Abstract
The authors use a non-equilibrium form of the Green's function formulation of the BCS theory of superconductivity to investigate the circumstances under which differential equations in space and time, i.e., 'time dependent Ginzburg-Landau equations', give a valid description of the space and time variation of the order parameter A in superconductors. They find that if the variations are sufficiently slow, time dependent Ginzburg-Landau equations exist near absolute zero and near the transition temperature. In the former case, the equation has wave-like character and in the latter case it is of diffusion type with the restriction that either the characteristic frequency of the time variation of A is greater than the gap frequency or the ratio of the Fermi velocity to the product of the characteristic wave length and frequency of the space-time variation of A is greater than unity. Under all other circumstances and at general temperatures, there are no differential equations to describe the variations of A. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 24, 1966
- Accession Number
- AD0635813
Entities
People
- Elihu Abrahams
Organizations
- Rutgers University–New Brunswick