18 citations · 113 across the 22 of their papers we have counts for
25 papers
Analytical solutions for Ising models on high dimensional lattices
Boris Kryzhanovsky, Leonid Litinskii, Vladislav Egorov
We use an m-vicinity method to examine Ising models on hypercube lattices of high dimensions d>=3. This method is applicable for both short-range and long-range interactions. We in…
n-vicinity method for Ising Model with long-range interaction
Inna Kaganowa, Boris Kryzhanovsky, Leonid Litinskii
The previously developed n-vicinity method allows us to calculate accurately critical values of inverse temperatures for Ising models with short-range interaction. We generalize th…
Inverse problem for Ising connection matrix with long-range interaction
Leonid Litinskii, Boris Kryzhanovsky
In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connect…
Influence of long-range interaction on degeneracy of eigenvalues of connection matrix of d-dimensional Ising system
B. V. Kryzhanovsky, L. B. Litinskii
We examine connection matrices of Ising systems with long-rang interaction on d-dimensional hypercube lattices of linear dimensions L. We express the eigenvectors of these matrices…
Investigation of Finite-size 2D Ising Model with a Noisy Matrix of Spin-Spin Interactions
Boris Kryzhanovsky, Magomed Malsagov, Iakov Karandashev
We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interacti…
Dependence of critical parameters of 2D Ising model on lattice size
Boris V. Kryzhanovsky, Magomed Yu. Malsagov, Iakov M. Karandashev
For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental data obtained using t…