Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-16
Phys.Rev. D55 (1997) 2307-2319
Physics
High Energy Physics
High Energy Physics - Theory
81 pages, RevTeX, with 25 figures included (text is slightly revised, some references added, figures are modified; the most es
Scientific paper
10.1103/PhysRevD.55.2307
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 to 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 $H_{c}$ and the upper critical field $H_{c_2}$, while the pure vortex dominate only between the lower critical field $H_{c_1}$ and $H_{c}$. 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.
~Obukhov Yuri N.
~Schunck Franz E.
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