3 papers
cond-mat.dis-nn2025
The generalized density of states in a one-dimensional Ising model with ferrromagnetic and antiferromagnetic interactions
Boris Kryzhanovsky, Vladislav Egorov
Expressions for the density of states , where is the number of states of energy , are well known. The present paper offers the expressions for generalized density o…
cond-mat.stat-mech2025
Analytic expressions for estimation of the critical properties of inhomogeneous Ising models
Vladislav Egorov, Stepan Osipov
In many applications of spin models, the fast estimation of their critical temperatures and other physical properties is of great importance. In this work, we present the analytica…
cond-mat.dis-nn2024
Density Function of Weighted Sum of Chi-Square Variables with Trigonometric Weights
Vladislav Egorov, Boris Kryzhanovsky
We have investigated a weighted chi-square distribution of the variable which is a weighted sum of squared normally distributed independent variables whose weights are cosines…