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

Raunvísindadeild

Háskóli Íslands

Rannsóknarafurð: Framlag til fræðitímarits › Grein › ritrýni

Útdráttur

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.

Upprunalegt tungumál	Enska
Síður (frá-til)	229-231
Síðufjöldi	3
Fræðitímarit	Physics Letters A
Bindi	94
Númer tölublaðs	5
DOI	https://doi.org/10.1016/0375-9601(83)90455-3
Útgáfustaða	Útgefið - 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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PY - 1983/3/14

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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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U2 - 10.1016/0375-9601(83)90455-3

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

M3 - Article

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VL - 94

SP - 229

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JO - Physics Letters A

JF - Physics Letters A

IS - 5

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Convergence of a cluster expansion for randomly dilute Ising models

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