Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets

Jan Wehr, Aramian Wasielak

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.

Original languageEnglish (US)
Pages (from-to)487-494
Number of pages8
JournalJournal of Statistical Physics
Volume162
Issue number2
DOIs
StatePublished - Jan 1 2016

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Ferromagnet
uniqueness
Ising
Ground State
Uniqueness
ground state
Zero
Random Surfaces
Random Environment
Ising model
Ising Model
temperature
Open Problems
constrictions
Restriction
Model

Keywords

  • Disordered systems
  • Ising model
  • Metastates

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets. / Wehr, Jan; Wasielak, Aramian.

In: Journal of Statistical Physics, Vol. 162, No. 2, 01.01.2016, p. 487-494.

Research output: Contribution to journalArticle

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