Searcharxiv⌕ Search

arXiv subjects

M V Vismaya

Publications and source records attributed to M V Vismaya.

4 recordsLinked to original sources
arXiv2026

Partition function and magnetization of two-dimensional Ising models in non-zero magnetic field: A semi-empirical approach

The partition functions of ferromagnetic Ising models of square lattices in a finite magnetic field is deduced using topological considerations within a heuristic graph-theoretical approach. These equations are derived separately for low and high temperature regimes while the exact solution of Onsager is obtained therefrom when the magnetic field is zero. The derived partition function equations here are almost similar to those given by Onsager, thus indicating a straight-forward protocol, even when the magnetic field is present. The spontaneous magnetization derived here using the Helmholtz free energy is identical with that arising from the exact solution. The partition functions lead to the known series expansions of the magnetization and zero-field susceptibility.

cond-mat.stat-mech↗
arXiv2024

Three-dimensional Ising models -- Critical Parameters using $ε$-convergence method

We demonstrate the applicability of the $ε$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high temperature susceptibility series of simple cubic, body-centered cubic, face-centered cubic and diamond lattices, using two different variables for the inverse critical temperature. In the case of simple cubic lattices, the magnetization series was modified to deduce accurate values of the critical temperatures. The alternate variable for dimensionless inverse temperature suggested by Guttmann and Thompson has also been employed for the estimation of the critical parameters.

cond-mat.stat-mech↗