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Time-Dependent Ginzburg-Landau Theory and Duality

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Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Part of the book series: NATO Science Series ((ASIC,volume 549))

Abstract

In the first part of this review paper, the time-dependent Ginzburg-Landau theory is derived starting from the microscopic BCS model with the help of a derivative expansion. Special attention is paid to two space dimensions, where the entire crossover from the weak-coupling BCS limit to the strong-coupling BEC limit of tightly bound fermion pairs is accessible analytically. The second part deals with the dual approach to the time-independent Ginzburg-Landau theory in three space dimensions. In this approach, the magnetic vortices of a superconductor play the central role, and the superconductor-to-normal phase transition is understood as a proliferation of these vortices.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195, Berlin, Germany

    Adriaan M. J. Schakel

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  1. Adriaan M. J. Schakel
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  1. Centre de Recherches sur les Très Basses Température, C.N.R.S., Grenoble, France

    Yuriy M. Bunkov  & Henri Godfrin  & 

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Schakel, A.M.J. (2000). Time-Dependent Ginzburg-Landau Theory and Duality. In: Bunkov, Y.M., Godfrin, H. (eds) Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions. NATO Science Series, vol 549. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4106-2_11

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  • DOI: https://doi.org/10.1007/978-94-011-4106-2_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6205-0

  • Online ISBN: 978-94-011-4106-2

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