4 papers
Partition function and magnetization of two-dimensional Ising models in non-zero magnetic field: A semi-empirical approach
M V Vismaya, M V Sangaranarayanan
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…
Three-dimensional Ising models -- Critical Parameters using -convergence method
M V Vismaya, M V Sangaranarayanan
We demonstrate the applicability of the -convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the l…
Three dimensional Ising models: Equations for Spontaneous Magnetization and Critical Temperature
M V Vismaya, M V Sangaranarayanan
The equations for the spontaneous magnetization for different three-dimensional lattices have been derived in a heuristic manner. The estimated critical temperatures for simple cub…
Critical temperatures of two- and three-dimensional Ferromagnetic Ising models- A hierarchy
M V Vismaya, M V Sangaranarayanan
A unified algebraic structure is shown to exist among various equations for the critical temperatures pertaining to diverse two- and three-dimensional lattices. This isomorphism is…