Investigation of the 3D ANNNI Model by Monte Carlo Methods

The results for 3D anisotropic Ising model with competing interactions (ANNNI) investigated by the Monte Carlo methods are presented. The temperature dependence of thermal parameters is calculated. The character of all possible phase transitions in the model is analyzed.

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Investigation of Multicritical Phenomena in ANNNI Model by Monte Carlo Methods

Physics Research International ◽

10.1155/2012/730812 ◽

2012 ◽

Vol 2012 ◽

pp. 1-4

Author(s):

A. K. Murtazaev ◽

J. G. Ibaev

Keyword(s):

Phase Diagram ◽

Heat Capacity ◽

Monte Carlo ◽

Ising Model ◽

Wide Temperature Range ◽

Monte Carlo Methods ◽

Correlation Radius ◽

Competing Interactions ◽

Annni Model ◽

Lifshitz Point

The anisotropic Ising model with competing interactions is investigated in wide temperature range and |J1/J| parameters by means of Monte Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results, a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.

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Investigation of Multicritical Phenomena in Complex Models of Magnetics by Monte-Carlo Methods

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.190.391 ◽

2012 ◽

Vol 190 ◽

pp. 391-395 ◽

Cited By ~ 1

Author(s):

Akai K. Murtazaev ◽

J.G. Ibaev

Keyword(s):

Phase Diagram ◽

Heat Capacity ◽

Monte Carlo ◽

Ising Model ◽

Wide Temperature Range ◽

Monte Carlo Methods ◽

Correlation Radius ◽

Competing Interactions ◽

Lifshitz Point ◽

Complex Models

The anisotropic Ising model with competing interactions is investigated in wide temperature range and |J1/J| parameters by means of Monte-Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.

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Influence of the Surface on the Thermodynamic and Magnetic Properties of the Anisotropic Ising Model with Competing Interactions

Materials Science Forum ◽

10.4028/www.scientific.net/msf.845.97 ◽

2016 ◽

Vol 845 ◽

pp. 97-100

Author(s):

Akai K. Murtazaev ◽

Zhavrail G. Ibaev

Keyword(s):

Monte Carlo ◽

Magnetic Properties ◽

Ising Model ◽

Thermodynamic Properties ◽

Thermodynamic Parameters ◽

Monte Carlo Methods ◽

Magnetic Ordering ◽

Competing Interactions ◽

Modulated Structures ◽

Temperature Dependences

The thermodynamic properties of nanoparticles with modulated magnetic ordering are studied by Monte-Carlo methods. Temperature dependences for main thermodynamic parameters are obtained. We present the characteristic modulated structures of nanoparticles and calculate the parameters of these structures. Modulated structures in nanoparticles are compared with macroscopic systems.

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