Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0606274 · The European Physical Journal B

Exact solution of the one-dimensional spin- $\frac{\mathsf 3}{\mathsf 2}$ Ising model in magnetic field

Adolfo Avella, Francesco Paolo Mancini

Published Apr 1, 2006• 16 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2006-00177-x

Related papers

Exact solution of two-dimensional (2D) Ising model with a transverse field: A low-dimensional quantum spin system

Zhang Zhi-dong

arXiv:2501.01997•Physica E Low-dimensional Systems and Nanostructures•Jan 13, 2021•22 citations

29pTB-4 On the exact solutions of the two-dimensional Ising model in the presence of an infinitely partial magnetic field

Chang Shu Chiuan, Masuo Suzuki

日本物理学会講演概要集•Mar 6, 2003•0 citations

Exact Solutions of the One-Dimensional, Two-Dimensional, and Three-Dimensional Ising Models

Igor A. Stepanov

According to the traditional solutions, there is no magnetisation in the one-dimensional Ising model in the absence of external magnetic field. It is shown that there is a mistake within them. In them, local order of spins was not taken into account and the partition function and the correlation function were calculated wrongly. In this paper, that mistake is corrected and a new solution is presented. According to it, there is ferromagnetism in that model. Analogously, solutions of the two-dimensional and three-dimensional Ising models are obtained.

Nano Science and Nano Technology An Indian Journal•Jan 1, 2012•2 citations

Exact solution of a two dimensional Ising model with pure 3 spin interactions

A. Hintermann, D. Merlini

Physics Letters A•Sep 1, 1972•42 citations

Correlation functions in a one-dimensional kinetic Ising model

Semen I Kuchanov, М. А. Алиев

In the limit of the strong magnetic field , the closed hierarchy of kinetic equations for correlation functions of an arbitrary order is derived for a one-dimensional kinetic Ising model. This hierarchy allows asymptotically exact solution in quadratures. For the first time the closed set of equation for generating functions of the domain distribution of the identically oriented spins have been obtained. The relations between kinetic parameters that make it possible to find exact solutions in quadratures are indicated.

Journal of Physics A Mathematical and General•Dec 21, 1997•5 citations

Exact solution of a triangular ising model in a nonzero magnetic field

Fa Yueh Wu

Journal of Statistical Physics•Sep 1, 1985•17 citations
Exact solution of the one-dimensional spin- 32\frac{\mathsf 3}{\mathsf 2}23​ Ising model in magnetic field
According to the traditional solutions, there is no magnetisation in the one-dimensional Ising model in the absence of external magnetic field. It is shown that there is a mistake within them. In them, local order of spins was not taken into account and the partition function and the correlation function were calculated wrongly. In this paper, that mistake is corrected and a new solution is presented. According to it, there is ferromagnetism in that model. Analogously, solutions of the two-dimensional and three-dimensional Ising models are obtained.
In the limit of the strong magnetic field , the closed hierarchy of kinetic equations for correlation functions of an arbitrary order is derived for a one-dimensional kinetic Ising model. This hierarchy allows asymptotically exact solution in quadratures. For the first time the closed set of equation for generating functions of the domain distribution of the identically oriented spins have been obtained. The relations between kinetic parameters that make it possible to find exact solutions in quadratures are indicated.