An Ising interface between two walls

Competition between two tendencies

J. L. Lebowitz, A. E. Mazel, Iouri M. Soukhov

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider a ferromagnetic Ising spin system, consisting of m + 1, d-dimensional, layers with "-" boundary condition on the bottom layer and "+" on the top layer. When β is larger than βcr, the inverse critical temperature for the d-dimensional Ising model, the interface generated by the boundary conditions is expected to be halfway between bottom and top, for m odd, and just above or below the middle layer, for m even (each possibility with probability 1/2). In this paper, we prove the above assertion under the condition that β ≥ const · m and partly for β > βcr.

Original languageEnglish (US)
Pages (from-to)669-687
Number of pages19
JournalReviews in Mathematical Physics
Volume8
Issue number5
DOIs
StatePublished - Jan 1 1996

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Ising
tendencies
boundary conditions
Boundary conditions
Spin Systems
Critical Temperature
Assertion
Ising model
Ising Model
critical temperature
Odd

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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An Ising interface between two walls : Competition between two tendencies. / Lebowitz, J. L.; Mazel, A. E.; Soukhov, Iouri M.

In: Reviews in Mathematical Physics, Vol. 8, No. 5, 01.01.1996, p. 669-687.

Research output: Contribution to journalArticle

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