Computational Analysis of 3D Ising Model Using Metropolis Algorithms

Autor:	R. S. Costa, J V Gomes, D. R. Nunes, M. R. Cortes, A F Sonsin
Rok vydání:	2015
Předmět:	Physics History Phase transition Condensed matter physics Monte Carlo method Square-lattice Ising model Magnetic susceptibility Computer Science Applications Education Magnetization Paramagnetism Ferromagnetism Ising model Statistical physics Algorithm
Zdroj:	Journal of Physics: Conference Series. 630:012057
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/630/1/012057
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a09896df4d2cab0bd0ad180f37fe653a https://doi.org/10.1088/1742-6596/630/1/012057 Zobrazit plný text záznamu