Investigation of the thermodynamic properties and phase transitions in a strongly diluted three-vertex antiferromagnetic Potts model by the Monte Carlo method

Physics of the Solid State - The thermodynamic properties and phase transitions in a two-dimensional strongly diluted threevertex antiferromagnetic Potts model on a triangular lattice have been...     

Study of the Two-Dimensional Anisotropic Ising Model with Competing Interactions in the Region of a Transition from the Ferromagnetic to Paramagnetic State

Journal of Experimental and Theoretical Physics - The two-dimensional anisotropic Ising model with competing interactions in the region of a transition from the ferromagnetic to paramagnetic phase...     

Investigation of the critical properties of the frustrated Heisenberg model on a triangular lattice by the Monte Carlo method

The critical properties of the 3D frustrated antiferromagnetic Heisenberg model on a triangular lattice have been investigated by the replica Monte Carlo method. All main magnetic and chiral critical indices were calculated using the finite-size scaling theory. It is found that the class of universality of the critical behavior of the model studied depends on the type of interplane exchange interaction.     

Dynamic critical behavior of the Heisenberg model with strong easy plane anisotropy

The dynamic critical behavior of the Heisenberg model with a strong anisotropy of the exchange constant in the z direction is investigated. The main features of the time evolution of this model are revealed. The static and dynamic critical behavior of planar magnetic models is shown to be described well by the Heisenberg model with strong easy plane anisotropy.     

Dynamic critical behavior in models of ferromagnetic gadolinium

A numerical technique combining Monte Carlo and molecular dynamics simulations is used for the first time to examine the complex critical dynamics of models of ferromagnetic gadolinium in which both strong exchange interactions and relativistic effects of several different types are taken into account. A finite-size scaling technique is used to calculate the corresponding dynamic critical exponents. The role played by isotropic dipole-dipole interaction in the critical behavior of gadolinium is evaluated. The results obtained provide an explanation for the anomalous dynamic critical behavior of gadolinium.     

Computer simulation of the frustrated antiferromagnetic Heisenberg model on a layered triangle lattice

Critical properties of the 3D frustrated Heisenberg model on a triangle latticeare investigated using a replica Monte-Carlo method that considers the interaction between next nearest neighbors. Static magnetic and chiral critical indices for heat capacity α, susceptibility γ, γ _k , magnetization β, β _k , and correlation radius ν are calculated using the theory of finite-size scaling.     

Investigation of Critical Properties of a MnF<Subscript>2</Subscript> Antiferromagnet Model by the Monte Carlo Methods

The Wolf highly efficient single-cluster algorithm of the Monte Carlo method is used to investigate the critical static properties of a MnF ₂ antiferromagnet model. The Wolf single-cluster algorithm is modified to investigate complex magnet models in which the uniaxial anisotropy is taken into account together with the exchange interaction. All main critical static parameters of the system are calculated, including the critical exponents of heat capacity α, magnetization β, and susceptibility γ, the Fisher index η, and the correlation length ν.__________Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 53–58, February, 2005.     

Investigating phase transitions in a model Fe/V magnetic superlattice

We propose a model of an iron-vanadium superlattice for investigating phase transitions in multilayers. Several basic types of temperature dependences of spontaneous (resultant) magnetization in a magnetic superlattice model are revealed for the first time for various values of an interlayer exchange interaction.     

Phase Transitions in the Diluted Two-Dimensional Potts Model with the Number of Spin States q = 3 on a Square Lattice

Physics of the Solid State - The phase transitions in the two-dimensional diluted Potts model with the number of spin states q&nbsp;= 3 are studied by computer simulation method. The systems...     

Effect of Exchange Interaction Constants on the Magnetization Reversal in a Hard/Soft Magnetic Bilayer Model

Journal of Experimental and Theoretical Physics - A model is developed to study a hard/soft magnetic bilayer in an external magnetic field by the Monte Carlo method. The influence of the constants...