One-dimensional Ising model in arbitrary external field

J. K. Percus

doi:10.1007/BF01020384

One-dimensional Ising model in arbitrary external field

J. K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The external potential needed to produce an arbitrary equilibrium density profile for a one-dimensional lattice gas with nearest neighbor interactions is solved exactly. The resulting sequence of direct correlation functions is shown to be of short range, and in the ferromagnetic case the even members alternate in sign at zero spin. The even Ursell distributions in this case likewise alternate in sign.

Original language	English (US)
Pages (from-to)	299-309
Number of pages	11
Journal	Journal of Statistical Physics
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/BF01020384
State	Published - Mar 1977

Keywords

Ising model
Ursell distributions
direct correlations
external field
lattice gas
nonuniform
one-dimensional

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01020384

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title = "One-dimensional Ising model in arbitrary external field",

abstract = "The external potential needed to produce an arbitrary equilibrium density profile for a one-dimensional lattice gas with nearest neighbor interactions is solved exactly. The resulting sequence of direct correlation functions is shown to be of short range, and in the ferromagnetic case the even members alternate in sign at zero spin. The even Ursell distributions in this case likewise alternate in sign.",

keywords = "Ising model, Ursell distributions, direct correlations, external field, lattice gas, nonuniform, one-dimensional",

author = "Percus, {J. K.}",

year = "1977",

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N2 - The external potential needed to produce an arbitrary equilibrium density profile for a one-dimensional lattice gas with nearest neighbor interactions is solved exactly. The resulting sequence of direct correlation functions is shown to be of short range, and in the ferromagnetic case the even members alternate in sign at zero spin. The even Ursell distributions in this case likewise alternate in sign.

AB - The external potential needed to produce an arbitrary equilibrium density profile for a one-dimensional lattice gas with nearest neighbor interactions is solved exactly. The resulting sequence of direct correlation functions is shown to be of short range, and in the ferromagnetic case the even members alternate in sign at zero spin. The even Ursell distributions in this case likewise alternate in sign.

KW - Ising model

KW - Ursell distributions

KW - direct correlations

KW - external field

KW - lattice gas

KW - nonuniform

KW - one-dimensional

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3

ER -

One-dimensional Ising model in arbitrary external field

Abstract

Keywords

ASJC Scopus subject areas

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