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

2012 ◽  
Vol 190 ◽  
pp. 391-395 ◽  
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.

scholarly journals Investigation of Multicritical Phenomena in ANNNI Model by Monte Carlo Methods

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.

Investigation of the 3D ANNNI Model by Monte Carlo Methods

2009 ◽  
Vol 152-153 ◽  
pp. 575-578 ◽  
Author(s):  
Akai K. Murtazaev ◽  
J.G. Ibaev ◽  
Ya.K. Abuev
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Ising Model ◽  
Temperature Dependence ◽  
Monte Carlo Methods ◽  
Thermal Parameters ◽  
Competing Interactions ◽  
Annni Model

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.

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

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.

Phase Transition in 2D Anisotropic Ising Model with Next-Nearest Neighbor Interactions in a Magnetic Field

SPIN ◽  
2018 ◽  
Vol 08 (03) ◽  
pp. 1850010
Author(s):  
D. Farsal ◽  
M. Badia ◽  
M. Bennai
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Phase Diagram ◽  
Monte Carlo ◽  
Magnetic Susceptibility ◽  
Critical Temperature ◽  
Ising Model ◽  
Nearest Neighbor ◽  
Two Dimensional ◽  
The Magnetic Field

The critical behavior at the phase transition of the ferromagnetic two-dimensional anisotropic Ising model with next-nearest neighbor (NNN) couplings in the presence of the field is determined using mainly Monte Carlo (MC) method. This method is used to investigate the phase diagram of the model and to verify the existence of a divergence at null temperature which often appears in two-dimensional systems. We analyze also the influence of the report of the NNN interactions [Formula: see text] and the magnetic field [Formula: see text] on the critical temperature of the system, and we show that the critical temperature depends on the magnetic field for positive values of the interaction. Finally, we have investigated other thermodynamical qualities such as the magnetic susceptibility [Formula: see text]. It has been shown that their thermal behavior depends qualitatively and quantitatively on the strength of NNN interactions and the magnetic field.

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