Transverse Magnetic Field Coupling Effects on the Topology of Phase Diagrams of 2-D Ising Model

The response behavior of the topology of various phase diagrams corresponding to different physicochemical systems has been studied. Our study relies on using the 2-D transverse field ising model and considering only distinct nearest neighbor pair-exchange interaction. We calculate phase diagrams in the polarization-temperature phase space with the aid of the Mathcad computer software. The theory is based on the simple temperature dependence of the potential parameters in the TIM within the framework of the mean field theory approximation. We developed the more complex reentrant phase diagram that is common with some binary fluids, colloids, proteins and many more systems. And by parameter modifications we obtained some common and exotic phase diagrams that corresponding to those obtained both experimentally and theoretically. A qualitative analysis of the topological influence of the transverse magnetic field coupling is discussed.