Fluctuation Bounds For Interface Free Energies in Spin Glasses

L. P. Arguin, C. M. Newman, D. L. Stein, J. Wehr

Research output: Contribution to journalArticle

Abstract

We consider the free energy difference restricted to a finite volume for certain pairs of incongruent thermodynamic states (if they exist) in the Edwards-Anderson Ising spin glass at nonzero temperature. We prove that the variance of this quantity with respect to the couplings grows proportionally to the volume in any dimension greater than or equal to two. As an illustration of potential applications, we use this result to restrict the possible structure of Gibbs states in two dimensions.

Original languageEnglish (US)
Pages (from-to)221-238
Number of pages18
JournalJournal of Statistical Physics
Volume156
Issue number2
DOIs
StatePublished - 2014

Fingerprint

Gibbs States
Spin Glass
Finite Volume
Ising
spin glass
Free Energy
Two Dimensions
Thermodynamics
free energy
Fluctuations
thermodynamics
temperature

Keywords

  • Edwards-Anderson model
  • Free energy
  • Spin glasses
  • Variance bounds

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Fluctuation Bounds For Interface Free Energies in Spin Glasses. / Arguin, L. P.; Newman, C. M.; Stein, D. L.; Wehr, J.

In: Journal of Statistical Physics, Vol. 156, No. 2, 2014, p. 221-238.

Research output: Contribution to journalArticle

Arguin, L. P. ; Newman, C. M. ; Stein, D. L. ; Wehr, J. / Fluctuation Bounds For Interface Free Energies in Spin Glasses. In: Journal of Statistical Physics. 2014 ; Vol. 156, No. 2. pp. 221-238.
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