Convergence of a cluster expansion for randomly dilute Ising models

Þórður Jónsson

doi:10.1016/0375-9601(83)90455-3

Convergence of a cluster expansion for randomly dilute Ising models

Þórður Jónsson

Faculty of Physical Sciences

University of Iceland

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

Abstract

We consider an Ising model with translationally invariant finite-range interactions, where a fraction p of the lattices sites is occupied by spin vectors. We prove that the expansion of the free energy in powers of p has a nonzero radius of convergence for all values of the temperature.

Original language	English
Pages (from-to)	229-231
Number of pages	3
Journal	Physics Letters A
Volume	94
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(83)90455-3
Publication status	Published - 14 Mar 1983

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10.1016/0375-9601(83)90455-3

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title = "Convergence of a cluster expansion for randomly dilute Ising models",

abstract = "We consider an Ising model with translationally invariant finite-range interactions, where a fraction p of the lattices sites is occupied by spin vectors. We prove that the expansion of the free energy in powers of p has a nonzero radius of convergence for all values of the temperature.",

author = "{\TH}{\'o}r{\dh}ur J{\'o}nsson",

note = "Copyright {\textcopyright} 1983 Published by Elsevier B.V.",

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N2 - We consider an Ising model with translationally invariant finite-range interactions, where a fraction p of the lattices sites is occupied by spin vectors. We prove that the expansion of the free energy in powers of p has a nonzero radius of convergence for all values of the temperature.

AB - We consider an Ising model with translationally invariant finite-range interactions, where a fraction p of the lattices sites is occupied by spin vectors. We prove that the expansion of the free energy in powers of p has a nonzero radius of convergence for all values of the temperature.

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DO - 10.1016/0375-9601(83)90455-3

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VL - 94

SP - 229

EP - 231

JO - Physics Letters A

JF - Physics Letters A

IS - 5

ER -

Convergence of a cluster expansion for randomly dilute Ising models

Abstract

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