Computational Analysis of 3D Ising Model Using Metropolis Algorithms

37th Brazilian Meeting on Nuclear Physics

Sonsin, A.F.^1 ; Cortes, M.R.^1 ; Nunes, D.R.^1 ; Gomes, J.V.^1 ; Costa, R.S.^1

Universidade Federal de Rondônia, Departamento de Física de Ji-Paraná, Rua Rio Amazonas 351 Jardim dos Migrantes, Ji-Paraná, RO

78961970, Brazil^1

关键词: 3D Ising model;    Computational analysis;    Finite size;    Metropolis algorithms;    Three-dimensional Ising model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/630/1/012057/pdf
DOI  :  10.1088/1742-6596/630/1/012057

来源: IOP

【 摘 要 】

We simulate the Ising Model with the Monte Carlo method and use the algorithms of Metropolis to update the distribution of spins. We found that, in the specific case of the three-dimensional Ising Model, methods of Metropolis are efficient. Studying the system near the point of phase transition, we observe that the magnetization goes to zero. In our simulations we analyzed the behavior of the magnetization and magnetic susceptibility to verify the phase transition in a paramagnetic to ferromagnetic material. The behavior of the magnetization and of the magnetic susceptibility as a function of the temperature suggest a phase transition around KT/J ≈ 4.5 and was evidenced the problem of finite size of the lattice to work with large lattice.