Relevant Analytic Spontaneous Magnetization Relation for the Face-Centered-Cubic Ising Lattice

Abstract

The relevant approximate spontaneous magnetization relations for the simple-cubic and body-centered-cubic Ising lattices have recently been obtained analytically by a novel approach that conflates the Callen--Suzuki identity with a heuristic odd-spin correlation magnetization relation. By exploiting this approach, we study an approximate analytic spontaneous magnetization expression for the face-centered-cubic Ising lattice. We report that the results of the analytic relation obtained in this work are nearly consistent with those derived from the Monte Carlo simulation.

9 pages, 3 figures, revised version, published in Entropy

References in corpus (13)

• Statistical physics of social dynamics
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Discovering Phases, Phase Transitions and Crossovers through Unsupervised Machine Learning: A critical examination
• Social applications of two-dimensional Ising models
• Restricted Boltzmann Machine, recent advances and mean-field theory
• Neural Monte Carlo Renormalization Group
• Response to arXiv:0811.1802 "Comment on 'Conjectures on exact solution of three-dimensional (3D) Ising lattices'" by Perk and Singularities at/near infinite temperature: Reply to Perk's Rejoinder arXiv:0901.2935
• Spontaneous symmetry breaking in a driven-dissipative system
• What does it take to solve the 3D Ising model? Minimal necessary conditions for a valid solution
• Topological Quantum Statistical Mechanics and Topological Quantum Field Theories
• Exact three spin correlation function relations for the square and the honeycomb Ising lattices
• Relevant spontaneous magnetization relations for the triangular and the cubic lattice Ising model
• Relevant alternative analytic average magnetization calculation method for the square and the honeycomb Ising lattices