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 $\langle\sigma_{0, i}\rangle= \langle\tanh[K(\sigma_{1,i}+\sigma_{2,i}+\dots +\sigma_{z,i})+H]\rangle$. 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 ...
25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Isi...
We have made substantial advances in elucidating the properties of the suscep-tibility of the square...
We study the computational complexity of several natural problems arising in statistical physics and...
The relevant approximate spontaneous magnetization relations for the simple-cubic and body-centered-...
Using a combinatorial method, the partition functions for two-dimensional nearest neighbour Ising mo...
We prove that for the Ising model defined on the plane {Mathematical expression} at {Mathematical ex...
This thesis project involved the study of exact solutions for magnetic spin correlations on a regula...
We study the statistical Ising model of spins on the infinite lattice using a bootstrap method that ...
In terms of the static fluctuational approximation previously developed by the authors, a closed set...
We revisit the issue about the magnetization of the $120^\circ$ order in the spin-1/2 triangular lat...
Calculations of the specific heat and magnetization of quenched, site‐diluted, N×N square and triang...
The question of the self-consistency of spin wave theory as applied to different spin arrangements i...
For honeycomb, square and triangular lattices we consider the groundstate threshold pc of spontaneou...
In 2011 I reviewed the calculation by Onsager and Kaufman of the spontaneous magnetization of the sq...
Exact solution of the Ising model on the simple cubic lattice is one of the long-standing open probl...
25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Isi...
We have made substantial advances in elucidating the properties of the suscep-tibility of the square...
We study the computational complexity of several natural problems arising in statistical physics and...
The relevant approximate spontaneous magnetization relations for the simple-cubic and body-centered-...
Using a combinatorial method, the partition functions for two-dimensional nearest neighbour Ising mo...
We prove that for the Ising model defined on the plane {Mathematical expression} at {Mathematical ex...
This thesis project involved the study of exact solutions for magnetic spin correlations on a regula...
We study the statistical Ising model of spins on the infinite lattice using a bootstrap method that ...
In terms of the static fluctuational approximation previously developed by the authors, a closed set...
We revisit the issue about the magnetization of the $120^\circ$ order in the spin-1/2 triangular lat...
Calculations of the specific heat and magnetization of quenched, site‐diluted, N×N square and triang...
The question of the self-consistency of spin wave theory as applied to different spin arrangements i...
For honeycomb, square and triangular lattices we consider the groundstate threshold pc of spontaneou...
In 2011 I reviewed the calculation by Onsager and Kaufman of the spontaneous magnetization of the sq...
Exact solution of the Ising model on the simple cubic lattice is one of the long-standing open probl...
25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Isi...
We have made substantial advances in elucidating the properties of the suscep-tibility of the square...
We study the computational complexity of several natural problems arising in statistical physics and...