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Condensed Matter > Statistical Mechanics

arXiv:cond-mat/9807338 (cond-mat)
[Submitted on 25 Jul 1998 (v1), last revised 18 Jan 1999 (this version, v3)]

Title:Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-T_c Superconductors

Authors:Gary A. Williams (UCLA)
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Abstract: The distribution of thermally excited vortex loops near a superfluid phase transition is calculated from a renormalized theory. The number density of loops with a given perimeter is found to change from exponential decay with increasing perimeter to algebraic decay as T_c is approached, in agreement with recent simulations of both cosmic strings and high-T_c superconductors. Predictions of the value of the exponent of the algebraic decay at T_c and of critical behavior in the vortex density are confirmed by the simulations, giving strong support to the vortex-folding model proposed by Shenoy.
Comments: Version to appear in Phys. Rev. Lett, with a number of corrections and additions
Subjects: Statistical Mechanics (cond-mat.stat-mech); Superconductivity (cond-mat.supr-con); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:cond-mat/9807338 [cond-mat.stat-mech]
  (or arXiv:cond-mat/9807338v3 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9807338
Journal reference: Phys.Rev.Lett. 82 (1999) 1201-1204
Related DOI: https://doi.org/10.1103/PhysRevLett.82.1201

Submission history

From: Gary A. Williams [view email]
[v1] Sat, 25 Jul 1998 06:57:22 UTC (16 KB)
[v2] Sat, 29 Aug 1998 22:48:48 UTC (16 KB)
[v3] Mon, 18 Jan 1999 03:36:44 UTC (17 KB)
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