Dynamics of vortex liquids in Ginzburg-Landau theories with applications to superconductivity

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.1126· OSTI ID:7179927

E, Weinan ^[1]

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1. School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

This paper continues our study of vortices in Ginzburg-Landau theories with special attention to applications in superconductivity. In another paper, we derived asymptotic equations governing the dynamics of interacting vortices. Here, we study the hydrodynamic limit of these vortices. For vortices in the solutions of the nonlinear Schroedinger equation, the hydrodynamic equation is the incompressible Euler's equation in fluid mechanics. For vortices in the time-dependent Ginzburg-Landau equations, the hydrodynamic equations can be thought of as being the complement of the Euler equations. Preliminary results on the numerical studies of the hydrodynamic equations are presented. As applications of the hydrodynamic formalism, we study the pinning of vortex liquids by periodic potentials, and the propagation of magnetic fields into type-II superconductors. The hydrodynamic formalism suggests that to leading order, the vortex liquids are pinned even at small but positive temperature.

• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7179927
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:2; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FLUID MECHANICS
GINZBURG-LANDAU THEORY
HYDRODYNAMICS
MAGNETIC FLUX
MECHANICS
STABILITY
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
TYPE-II SUPERCONDUCTORS
VORTICES