The Analytical Expressions for a Finite-Size 2D Ising Model
Disordered Systems and Neural Networks
2017-06-09 v1
Abstract
Numerical methods are used to examine the thermodynamic characteristics of the two-dimensional Ising model as a function of the number of spins N. Onsager's solution is generalized to a finite-size lattice, and experimentally validated analytical expressions for the free energy and its derivatives are computed. The heat capacity at the critical point is shown to grow logarithmically with N. Due to the finite extent of the system the critical temperature can only be determined to some accuracy.
Keywords
Cite
@article{arxiv.1706.02541,
title = {The Analytical Expressions for a Finite-Size 2D Ising Model},
author = {M. Yu. Malsagov and I. M. Karandashev and B. V. Kryzhanovsky},
journal= {arXiv preprint arXiv:1706.02541},
year = {2017}
}
Comments
10 pages, 8 figures, 1 table