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

Physica A Statistical Mechanics and its Applications

The three-dimensional Ising model revisited numerically

Andrea J. Liu, Michael Ellis Fisher

Published Mar 1, 1989• 370 citations
Publisher
DOI
10.1016/0378-4371(89)90109-x

Related papers

Numerical calculation of the restricted density of states for the three-dimensional Ising model

Andrey Vyacheslavovich Pavel'Yev

•Jan 1, 1997•0 citations

Computer investigations of the three-dimensional Ising model

Michael J. Creutz, P. Mitra, Kevin J. M. Moriarty

Journal of Statistical Physics•Mar 1, 1986•10 citations

Revisiting the scaling of the specific heat of the three-dimensional random-field Ising model

Nikolaos G. Fytas, Panagiotis E. Theodorakis, Alexander K. Hartmann

The European Physical Journal B•Sep 1, 2016•6 citations

Finite-size calculations on the three-dimensional Ising model

Henk W. J. Blöte, G. Kamieniarz

Physica A Statistical Mechanics and its Applications•Jun 1, 1993•22 citations

Application of the integral operator method for multispin correlation function calculations in the one-dimensional Ising model

T. Balcerzak

The one-dimensional (1D) Ising model is revisited. The integral operator method is used for the model to derive the general statistical identity for multispin correlation functions. As an application of this identity to generate various correlations, recursive formulas are derived for the correlations of pairs, threes, fours, and fives of spins. Both compact clusters and disjoint sets of spins are considered. It is shown that multispin correlations for the 1D Ising model can be exactly expressed in terms of pairwise correlations using recursive procedures. For clusters with different structures, numerical calculations of multispin correlations as a function of temperature and external magnetic field are performed. The results of these calculations are presented in the figures and discussed.

Physical review. E•Feb 26, 2024•1 citation

Large-order aspects of the δ expansion in low-dimensional Ising models

Hirofumi Yamada

We investigate the large order aspects of the δ expansion under the estimation procession of the critical quantities. As illustrative examples, we revisit the one-dimensional Ising model for the analytic study and the two-dimensional square Ising model in the high-temperature phase for the numerical experiment to large orders. In both models, the proposed fundamental base on which the estimation protocol should be constructed is investigated in detail and confirmed to be valid. In the square lattice model, we present a new protocol for the estimation of critical exponents and temperature.

arXiv:1407.2100•Physical Review E•Sep 29, 2014•2 citations
The one-dimensional (1D) Ising model is revisited. The integral operator method is used for the model to derive the general statistical identity for multispin correlation functions. As an application of this identity to generate various correlations, recursive formulas are derived for the correlations of pairs, threes, fours, and fives of spins. Both compact clusters and disjoint sets of spins are considered. It is shown that multispin correlations for the 1D Ising model can be exactly expressed in terms of pairwise correlations using recursive procedures. For clusters with different structures, numerical calculations of multispin correlations as a function of temperature and external magnetic field are performed. The results of these calculations are presented in the figures and discussed.
We investigate the large order aspects of the δ expansion under the estimation procession of the critical quantities. As illustrative examples, we revisit the one-dimensional Ising model for the analytic study and the two-dimensional square Ising model in the high-temperature phase for the numerical experiment to large orders. In both models, the proposed fundamental base on which the estimation protocol should be constructed is investigated in detail and confirmed to be valid. In the square lattice model, we present a new protocol for the estimation of critical exponents and temperature.