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.

Modulated Nanomagnetics

2014 ◽  
Vol 215 ◽  
pp. 41-45
Author(s):  
Akai K. Murtazaev ◽  
Zhavrail G. Ibaev
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Free Surface ◽  
Thermodynamic Properties ◽  
Thermodynamic Parameters ◽  
Monte Carlo Methods ◽  
Magnetic Ordering ◽  
Transition Temperatures ◽  
Phase Transition Temperatures ◽  
Complex Dependency

Thermodynamic properties of modulated magnetic ordering nanoparticles are studied by the Monte-Carlo methods. Temperature curves for main thermodynamic parameters are plotted. The availability of free surface is shown to lead to the displacement of phase transition temperatures and the complex dependency of thermodynamic parameters on a temperature. We determine the modulated ordering in nanoparicles is possible at sufficiently larger linear sizes.

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.

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 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.

A MONTE CARLO SIMULATION OF MAGNETIC ORDERING IN ISING CUBIC FERROSPINELS

2004 ◽  
Vol 03 (02) ◽  
pp. 179-188 ◽  
Author(s):  
N. STANICA ◽  
F. CIMPOESU ◽  
GIANINA DOBRESCU ◽  
V. CHIHAIA ◽  
LUMINITA PATRON ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Magnetic Properties ◽  
Simple Model ◽  
Magnetic Ordering ◽  
Exchange Interactions ◽  
Monte Carlo Studies ◽  
Quantum Spins ◽  
Type Lattice ◽  
Insight Into

This work signifies the next step in our way in the magnetic properties simulation of spin clusters and extended networks containing quantum spins, by original FORTRAN codes based on Heisenberg–Dirac–VanVleck (HDVV) or Ising approaches, using Full Diagonalization Heisenberg Matrix (FDHM) or Monte Carlo–Metropolis (MCM) procedure, respectively. We present the results of magnetic Monte Carlo studies on a magnetite type lattice, Ising model ferrimagnet that provide insight into the exchange interactions involved in Cubic Ferrospinels. We have demonstrated that a comparatively simple model can reproduce ferrimagnetic behavior of ferrospinels, particularly for magnetite.

scholarly journals Термодинамические и магнитные свойства двумерной анизотропной модели Изинга с конкурирующими взаимодействиями

2019 ◽  
Vol 61 (10) ◽  
pp. 1911
Author(s):  
А.К. Муртазаев ◽  
Ж.Г. Ибаев
Keyword(s):  
Exchange Interactions ◽  
Square Lattice ◽  
Wave Number ◽  
Two Dimensional ◽  
Competing Interactions ◽  
Distinctive Features ◽  
Magnetic Parameters ◽  
Modulated Structures ◽  
Temperature Dependences ◽  
Competing Interaction

The two-dimensional anisotropic Ising model was studied with competing interactions on a square lattice using Monte-Carlo methods using the Wang-Landau algorithm. The temperature dependences of the main thermodynamic and magnetic parameters are calculated. The distinctive features of the temperature dependences of these parameters are shown for different values of the competing interaction. The graphs of the dependence of the wave number of modulated structures on the ratio of the parameters of exchange interactions are plotted. Built phase diagram of the model. Interpolating the phase boundaries of the diagram, the coordinates of the Lifshchits point and phase localization areas with different wave vector values are calculated.

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