TY  - JOUR
T1  - Comparison Between the Analytical and Monte Carlo Simulation Solutions for
Two-Dimensional Ising Model of a Ferromagnet
AU - Jurado, J.F. AU - Jurado-Lasso, F.F. AU - Jurado-Lasso, N. AU - Baena-Vasquez, J.S 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 19
SP  - 7165
EP  - 7173
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.7165.7173
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.7165.7173
KW  - Ising model
KW  -Onsager model
KW  -Monte Carlo simulation
KW  -scaling method
KW  -scaling function
KW  -critical
exponent
AB  - The response to the temperature for a two-Dimensional (2D) spin array of a lattice of 2×2 size
Ising-Onsager type was compared with the exact solution and simulation in the formalism of the Monte Carlo
simulation. The functions energy, magnetization, heat capacity and susceptibility per spin determined by Monte
Carlo simulation and the Metropolis algorithm, showed dispersion of close to 1% when compared to the exact
solution and the Onsager model. The finite scaling method for 2D lattices of 2×2, 4×4, 8×8, 16×16, 32×32 and
64×64 size, allowed the calculation of the critical exponents of scaling function magnetization, specific heat
capacity and susceptibility. The results show that the scaling functions are independent of lattice size but
dependent on temperature and the critical exponent (class of universality).
ER  -