@article{MAKHILLJEAS2019141918490,
    title = {Comparison Between the Analytical and Monte Carlo Simulation Solutions for
Two-Dimensional Ising Model of a Ferromagnet},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {19},
    pages = {7165-7173},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.7165.7173},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.7165.7173},
    author = {J.F.,F.F.,N. and},
    keywords = {Ising model,Onsager model,Monte Carlo simulation,scaling method,scaling function,critical
exponent},
    abstract = {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).}
    }