Regular solutions in the Abelian gauge model

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.2307· OSTI ID:467487

Obukhov, Y N; Schunck, F E ^[1]

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1. Institute for Theoretical Physics, University of Cologne, D-50923 Koeln (Germany)

The regular solutions for the Ginzburg-Landau(-Nielsen-Olesen) Abelian gauge model are studied numerically. We consider the static isolated cylindrically symmetric configurations. The well-known (Abrikosov) vortices, which present a particular example of such solutions, play an important role in the theory of type-II superconductors and in the models of structure formation in the early universe. We find new regular static isolated cylindrically symmetric solutions which we call the type-B and the flux-tube solutions. In contrast with the pure vortex configurations which have finite energy, the new regular solutions possess a finite Gibbs free energy. The flux tubes appear to be energetically the most preferable configurations in the interval of external magnetic fields between the thermodynamic critical value H{sub c} and the upper critical field H{sub c{sub 2}}, while the pure vortex dominate only between the lower critical field H{sub c{sub 1}} and H{sub c}. Our conclusion is thus that type-B and flux-tube solutions are important new elements necessary for the correct understanding of a transition from the vortex state to the completely normal state. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467487
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRITICAL FIELD
CYLINDRICAL CONFIGURATION
FREE ENERGY
GINZBURG-LANDAU THEORY
MAGNETIC FIELDS
MIXED STATE
NUMERICAL ANALYSIS
TYPE-II SUPERCONDUCTORS
UNIFIED GAUGE MODELS
VORTICES