Higher spin one-dimensional Ising lattice in arbitrary external field

J. K. Percus

Research output: Contribution to journalArticlepeer-review

Abstract

We consider an integer lattice in one dimension whose site variables take on the values ν = 0,1,...,D with a fixed nearest neighbor interaction but an arbitrary site-dependent external potential. By first eliminating the external potential in favor of the site probability density, an expression is found in principle for the potential as a functional of the density. This relation is worked out in detail for basic spin 1/2 model, Z3 lattice, random walk ensemble, and a special continuous spin model. The direct correlation function in all cases has only nearest neighbor support, and the thermodynamic potential as a functional of the density couples only nearest neighbor sites.

Original languageEnglish (US)
Pages (from-to)1162-1167
Number of pages6
JournalJournal of Mathematical Physics
Volume23
Issue number6
DOIs
StatePublished - 1981

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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