Monte Carlo study of the ising model phase transition in terms of the percolation transition of “physical clusters”

1990 ◽  
Vol 60 (5-6) ◽  
pp. 585-618 ◽  
Author(s):  
Marco D'Onorio De Meo ◽  
Dieter W. Heermann ◽  
Kurt Binder
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Study ◽  
Percolation Transition ◽  
Physical Clusters ◽  
Model Phase

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.

scholarly journals 92 Years of the Ising Model: A High Resolution Monte Carlo Study

2018 ◽  
Vol 1012 ◽  
pp. 012002 ◽  
Author(s):  
Jiahao Xu ◽  
Alan M. Ferrenberg ◽  
David P. Landau
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
High Resolution ◽  
Monte Carlo Study

Monte Carlo study of phase transitions in an Ising model superlattice

1991 ◽  
Vol 69 (8) ◽  
pp. 6158-6160 ◽  
Author(s):  
Jialin Li ◽  
D. P. Landau
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Ising Model ◽  
Monte Carlo Study
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