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Variational theory of flux line liquids

2003/03/18 by A. M. Ettouhami · 1 citation
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Chemistry #Fluid Dynamics and Turbulent Flows #Flux (metallurgy) #Geometry #Line (geometry) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Signature (topology) #Square (algebra) #Statistical physics #Theoretical and Computational Physics #Thermal #Thermodynamics #cond-mat.stat-mech #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.68.214510

published in Physical review. B, Condensed matter 68(21) (American Physical Society) · 10 pages, 1 postscript figure

arxiv created 2003/03/18 · openalex publication_date 2003/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We formulate a variational (Hartree like) description of flux line liquids which improves on the theory developed in an earlier paper [A.M. Ettouhami, Phys. Rev. B 65, 134504 (2002)]. We show, in particular, that the massive term confining the fluctuations of flux lines is strongly reduced by thermal fluctuations. This results in an anomalous temperature dependence of the mean square projected area of a single flux line 〈u2〉\ensuremath∼T3/2 which is a signature of the weakly entangled state introduced previously, and which should be measurable in numerical simulations.

Citations