scholarly journals Thermodynamic phase transition of a magnetic system curie temperature predicted by the Monte Carlo method

2020 ◽  
Vol 24 (4) ◽  
pp. 2295-2299
Author(s):  
Peng-Fei Dong ◽  
Zai-Zai Yan
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Curie Temperature ◽  
Magnetic System ◽  
Mean Field Theory ◽  
Mean Field ◽  
The Monte Carlo Method ◽  
New Strategy ◽  
Thermodynamic Phase

Curie temperature is an important parameter in the second-order thermodynamic phase transition of a magnetic system. However, the classical Heisenberg?s mean field theory tends to overestimate heavily the temperature. In order to solve this problem, firstly, the structure of ferromagnetic and spin-glassy materials in a magnetic system is established by the Ising model. Secondly, the respective energy of ferromagnetic and spin glass states is calculated by Monte Carlo method. Finally, Curie temperature is predicted through the obtained energy, which agrees well with experimental data. A new strategy to estimate accurately Curie temperature is presented.

Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

2021 ◽  
pp. 413627
Author(s):  
G. Dimitri Ngantso ◽  
M. Karimou ◽  
A.L. Okana-Lomanga ◽  
A. Kadiri ◽  
R.A. Yessoufou ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Mean Field Theory ◽  
Mean Field ◽  
Recursion Relations ◽  
Ising Spin

Concentration Phase Transition in a Two-Dimensional Ferromagnet

2020 ◽  
Vol 312 ◽  
pp. 244-250
Author(s):  
Alexander Konstantinovich Chepak ◽  
Leonid Lazarevich Afremov ◽  
Alexander Yuryevich Mironenko
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Thermal Effect ◽  
Spin State ◽  
Critical Concentration ◽  
Two Dimensional ◽  
Percolation Transition ◽  
Magnetic Cluster ◽  
The Monte Carlo Method

The concentration phase transition (CPT) in a two-dimensional ferromagnet was simulated by the Monte Carlo method. The description of the CPT was carried out using various order parameters (OP): magnetic, cluster, and percolation. For comparison with the problem of the geometric (percolation) phase transition, the thermal effect on the spin state was excluded, and thus, CPT was reduced to percolation transition. For each OP, the values ​​of the critical concentration and critical indices of the CPT are calculated.

scholarly journals Ising Model Phase Transition Calculation for Ferro-Paramagnetic Lattice

2013 ◽  
Vol 15 ◽  
pp. 201-212
Author(s):  
Dhia`a K. Khudier ◽  
Nabeil I. Fawaz
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Magnetic Susceptibility ◽  
Ising Model ◽  
Curie Temperature ◽  
Periodic Boundary Conditions ◽  
Spin Lattice ◽  
The Monte Carlo Method ◽  
Paramagnetic Materials ◽  
Model Phase

The position of the phase transition in the two dimensional Ising model were determined byusing Monte Carlo simulation in a quadratic for area of variable length with external magnetic fieldswitched off (B = 0). The magnetization (M) per site (µ), magnetic susceptibility (x) of aferromagnetic and paramagnetic materials were calculated as a function of temperature T for(20×20,40×40,60×60), (80×80,120×120,200×200) spin lattice interactions. Nearest neighborinteraction is assumed (i.e. each spin has 4 neighbors); uses periodic boundary conditions. The Curietemperature (Tc = 2.27 J/kB ) is determined by measuring the magnetic susceptibility at which theferromagnetic and paramagnetic undergoes a phase change from order to disorder. There is thus aphase transition defined by the Curie temperature. The Monte Carlo method were used to check theseresults and to confirm the phase transition. The data are analyzed using the Curie-Weiss law whichcontains the Curie temperature as a parameter.

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