The critical temperature $T_{cr}$(Ising) is DS-computable
Mathematical Physics
2025-12-04 v2 math.MP
Authors:
Senya Shlosman
Abstract
We show that the Dobrushin-Shlosman conditions CV for the uniqueness of the Gibbs state provide the exact value for the critical temperature of the d-dimensional Ising model.
Cite
@article{arxiv.2505.24750,
title = {The critical temperature $T_{cr}$(Ising) is DS-computable},
author = {Senya Shlosman},
journal= {arXiv preprint arXiv:2505.24750},
year = {2025}
}
Related papers
View all related →
Condensed Matter · Physics
Some Numerical Results on the Block Spin Transformation for the 2D Ising Model at the Critical Point
G. Benfatto, E. Marinari, E. Olivieri
2009-10-22
Mathematical Physics · Physics
The critical temperature for the Ising model on planar doubly periodic graphs
David Cimasoni, Hugo Duminil-Copin
2014-12-18
High Energy Physics - Theory · Physics
Towards elucidation of zero-temperature criticality of Ising model on 2d DT
Jan Ambjørn, Yuki Sato, Tomo Tanaka
2025-07-22
Statistical Mechanics · Physics
Specific heat of the simple-cubic Ising model
Xiaomei Feng, Henk W. J. Blöte
2014-11-20
Statistical Mechanics · Physics
Exact critical-temperature bounds for two-dimensional Ising models
Davidson Noby Joseph, Igor Boettcher
2026-05-29
Statistical Mechanics · Physics
Critical temperature of a fully anisotropic three-dimensional Ising model
M. A. Yurishchev
2016-08-31
Statistical Mechanics · Physics
On Critical Temperature and Finite Size Scaling of Continuous Spin $2d$ Ising Model
Swapna Mahapatra, Rudra Majhi, Jahangir Mohammed, Subhashree Mohanty +2
2025-12-29
High Energy Physics - Lattice · Physics
Estimates of critical quantities from an expansion in mass: Ising model on the simple cubic lattice
Hirofumi Yamada
2015-08-25
Probability · Mathematics
Phase transition for the Ising model on the Critical Lorentzian triangulation
Maxim Krikun, Anatoly Yambartsev
2008-10-14
High Energy Physics - Lattice · Physics
Analytical calculation of critical temperatures in some spin systems
Z. Burda, J. Wosiek
2009-10-22
High Energy Physics - Lattice · Physics
Locating analytically critical temperature in some statistical systems
J. Wosiek
2009-10-22
Quantum Physics · Physics
Temperature-Enhanced Critical Quantum Metrology
Laurin Ostermann, Karol Gietka
2024-02-23
High Energy Physics - Theory · Physics
Critical Temperature of the Deconfining Phase Transition in (2+1)d Georgi-Glashow Model
Yuri V. Kovchegov, D. T. Son
2007-05-23
High Energy Physics - Lattice · Physics
Deconfinement transition and dimensional cross-over in the 3D gauge Ising model
M. Caselle, M. Hasenbusch
2009-10-28
Computational Engineering, Finance, and Science · Computer Science
A model project for reproducible papers: critical temperature for the Ising model on a square lattice
M. Dolfi, J. Gukelberger, A. Hehn, J. Imriška +7
2014-01-10
Condensed Matter · Physics
Scaling above the upper critical dimension in Ising Models
Giorgio Parisi, Juan J. Ruiz-Lorenzo
2009-10-28
Statistical Mechanics · Physics
Critical Temperature(s) of Sierpinski Carpet(s)
Riccardo Ben Alì Zinati, Giacomo Gori, Alessandro Codello
2026-03-03
Mathematical Physics · Physics
Critical Temperature of Periodic Ising Models
Zhongyang Li
2012-04-10
Strongly Correlated Electrons · Physics
Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
Manuel Weber, Martin Hohenadler
2018-08-06
Disordered Systems and Neural Networks · Physics
Applicability of n-vicinity method for calculation of free energy of Ising model
Boris Kryzhanovsky, Leonid Litinskii
2017-02-01
Statistical Mechanics · Physics
The critical equation of state of the 2D Ising model
M. Caselle, M. Hasenbusch, A. Pelissetto, E. Vicari
2016-08-31
Statistical Mechanics · Physics
Two temperature Ising Model
J. Cheraghalizadeh, M. Seifi, Z. Ebadi, H. Mohammadzadeh +1
2021-03-10
Condensed Matter · Physics
On the Critical Temperature of Non-Periodic Ising Models on Hexagonal Lattices
Ferenc Igloi, Peter Lajko
2009-10-28
Statistical Mechanics · Physics
Three-dimensional Ising models -- Critical Parameters using $\epsilon$-convergence method
M V Vismaya, M V Sangaranarayanan
2024-10-22
Disordered Systems and Neural Networks · Physics
The ordering temperature and critical exponents of the binomial Ising spin glass in dimension three
P. O. Mari, I. A. Campbell
2015-06-24