Criterion for Dominance of Directional over Size Fluctuations in Destroying Order

1999/08/31 by H. Kleinert · 4 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevlett.84.286

published as Phys. Rev. Lett. 84 (2000) 286 · Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/re3.html#298

arxiv created 1999/11/22 · openalex publication_date 2000/01/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For systems that exhibit a second-order phase transition with a spontaneously broken continuous O(N) symmetry at low temperatures, we give a criterion for judging at which temperature T(K) long-range directional fluctuations of the order field destroy the order when approaching the critical temperature from below. The temperature T(K) lies always significantly below the famous Ginzburg temperature T(G) at which size fluctuations of finite range become important.

Citations

• Ordering, metastability and phase transitions in two-dimensional systems
• Mandelstam-'t Hooft duality in abelian lattice models

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• Three-loop ground-state energy ofO(N)-symmetric Ginzburg-Landau theory aboveTcin4−ɛdimensions with minimal subtraction