Inhomogeneous Ising model on a multiconnected network

M. Q. Zhang; J. K. Percus

doi:10.1007/BF01016775

Inhomogeneous Ising model on a multiconnected network

M. Q. Zhang, J. K. Percus

Mathematics

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

Abstract

We first generalize the inhomogeneous external field Ising model on a ring to include inhomogeneous couplings. We then further generalize the one-dimensional periodic lattice to the simplest multiconnected networks. The fundamental idea and techniques developed here may be also applicable to other problems where topological collective (nonlocal) modes are many fewer in number than total degrees of freedom.

Original language	English (US)
Pages (from-to)	695-708
Number of pages	14
Journal	Journal of Statistical Physics
Volume	56
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01016775
State	Published - Sep 1989

Keywords

Inverse solution
collective modes
inhomogeneous Ising network
topological invariants

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01016775

Cite this

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title = "Inhomogeneous Ising model on a multiconnected network",

abstract = "We first generalize the inhomogeneous external field Ising model on a ring to include inhomogeneous couplings. We then further generalize the one-dimensional periodic lattice to the simplest multiconnected networks. The fundamental idea and techniques developed here may be also applicable to other problems where topological collective (nonlocal) modes are many fewer in number than total degrees of freedom.",

keywords = "Inverse solution, collective modes, inhomogeneous Ising network, topological invariants",

author = "Zhang, {M. Q.} and Percus, {J. K.}",

year = "1989",

month = sep,

doi = "10.1007/BF01016775",

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AU - Zhang, M. Q.

AU - Percus, J. K.

PY - 1989/9

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N2 - We first generalize the inhomogeneous external field Ising model on a ring to include inhomogeneous couplings. We then further generalize the one-dimensional periodic lattice to the simplest multiconnected networks. The fundamental idea and techniques developed here may be also applicable to other problems where topological collective (nonlocal) modes are many fewer in number than total degrees of freedom.

AB - We first generalize the inhomogeneous external field Ising model on a ring to include inhomogeneous couplings. We then further generalize the one-dimensional periodic lattice to the simplest multiconnected networks. The fundamental idea and techniques developed here may be also applicable to other problems where topological collective (nonlocal) modes are many fewer in number than total degrees of freedom.

KW - Inverse solution

KW - collective modes

KW - inhomogeneous Ising network

KW - topological invariants

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U2 - 10.1007/BF01016775

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M3 - Article

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Inhomogeneous Ising model on a multiconnected network

Abstract

Keywords

ASJC Scopus subject areas

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