Exact expressions for row correlation functions in the isotropic d=2 ising model

Ranjan K. Ghosh; Robert E. Shrock

doi:10.1007/BF01010472

Exact expressions for row correlation functions in the isotropic d=2 ising model

Ranjan K. Ghosh
, Robert E. Shrock

Institute for Theoretical Physics

Stony Brook University

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

13 Scopus citations

Abstract

We present exact explicit expressions for the row spin-spin correlation functions 〈σ₀₀σ_n0〉 in the isotropic d= 2 Ising model, in terms of elliptic integrals, for n≤ 5. We also give a general structural formula for 〈σ₀₀σ_n0〉.

Original language	English
Pages (from-to)	473-482
Number of pages	10
Journal	Journal of Statistical Physics
Volume	38
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01010472
State	Published - Feb 1985

Keywords

correlation functions
Ising model
series expansions
solvable models

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10.1007/BF01010472

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@article{82621465f8364f2ab8a44b604c7f3cef,

title = "Exact expressions for row correlation functions in the isotropic d=2 ising model",

abstract = "We present exact explicit expressions for the row spin-spin correlation functions 〈σ00σn0〉 in the isotropic d= 2 Ising model, in terms of elliptic integrals, for n≤ 5. We also give a general structural formula for 〈σ00σn0〉.",

keywords = "correlation functions, Ising model, series expansions, solvable models",

author = "Ghosh, \{Ranjan K.\} and Shrock, \{Robert E.\}",

year = "1985",

month = feb,

doi = "10.1007/BF01010472",

language = "English",

volume = "38",

pages = "473--482",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

number = "3-4",

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T1 - Exact expressions for row correlation functions in the isotropic d=2 ising model

AU - Ghosh, Ranjan K.

AU - Shrock, Robert E.

PY - 1985/2

Y1 - 1985/2

N2 - We present exact explicit expressions for the row spin-spin correlation functions 〈σ00σn0〉 in the isotropic d= 2 Ising model, in terms of elliptic integrals, for n≤ 5. We also give a general structural formula for 〈σ00σn0〉.

AB - We present exact explicit expressions for the row spin-spin correlation functions 〈σ00σn0〉 in the isotropic d= 2 Ising model, in terms of elliptic integrals, for n≤ 5. We also give a general structural formula for 〈σ00σn0〉.

KW - correlation functions

KW - Ising model

KW - series expansions

KW - solvable models

UR - https://www.scopus.com/pages/publications/33748790361

U2 - 10.1007/BF01010472

DO - 10.1007/BF01010472

M3 - Article

AN - SCOPUS:33748790361

SN - 0022-4715

VL - 38

SP - 473

EP - 482

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Exact expressions for row correlation functions in the isotropic d=2 ising model

Abstract

Keywords

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