Analytic average magnetization expression for the body centered cubic Ising lattice

Abstract

Recently we have performed large-scale average magnetization studies of the Ising model for the square, honeycomb, triangular, and simple cubic lattice. We want to complement those studies with the structurally more complicated body-centered cubic lattice Ising model in this paper. We have relevantly calculated the order parameter or average magnetization expression for the body-centered cubic Ising lattice based on the recently developed interrelation, given by $⟨{\sigma }_{0,i}⟩=⟨\tanh [K({\sigma }_{1,i}+{\sigma }_{2,i}+\cdots +{\sigma }_{z,i})+H]⟩$. We will use the same conjectures for the odd spins correlation functions as in our previous works. The mathematical forms of the odd spin correlation functions will be eventually elucidated by some physical discussions. We have seen that the obtained average magnetization expression with the numerical data for the body-centered cubic lattice Ising model is in good agreement.

6 pages, 3 figures

References in corpus (5)

• Analytical solutions for Ising models on high dimensional lattices
• 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
• Scaling relations and finite-size scaling in gravitationally correlated lattice percolation models
• Relevant alternative analytic average magnetization calculation method for the square and the honeycomb Ising lattices