Solving the Ginzburg-Landau equations by simulated annealing

Journal Article · Sun Apr 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.6335· OSTI ID:6897415

Doria, M M ^[1]; Gubernatis, J E ^[2]; Rainer, D ^[3]

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1. Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)
2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)
3. Physikalisches Institut, Universitaet Bayreuth, D-8580 Bayreuth, Federal Republic of Germany (DE)

We propose and demonstrate the power of a novel approach to the solution of the Ginzburg-Landau equation based on minimizing the free-energy functional with the numerical technique of simulated annealing instead of minimizing it analytically and then solving the resulting nonlinear partial differential equations. We present calculations of the magnetization versus magnetic field that agree well with the predictions of Abrikosov and others for a homogeneous, isotropic type-II superconductor near {ital H}{sub {ital c}1} and {ital H}{sub {ital c}2}. We also summarize the extension of the method to the calculation of the properties of an inhomogeneous, anisotropic superconductor.

• OSTI ID: 6897415
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:10; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
ANNEALING
COMPUTERIZED SIMULATION
ENERGY
FREE ENERGY
GINZBURG-LANDAU THEORY
HEAT TREATMENTS
NUMERICAL SOLUTION
PHYSICAL PROPERTIES
SIMULATION
STOCHASTIC PROCESSES
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
TYPE-II SUPERCONDUCTORS