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^*

^*Corresponding author for this work

Faculty of Physical Sciences

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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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",

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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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JO - Physics Letters A

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Convergence of a cluster expansion for randomly dilute Ising models

Abstract

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