M. Yu. Malsagov, I. M. Karandashev, B. V. Kryzhanovsky
Published 2017-06-08Version 1
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.
Comments: 10 pages, 8 figures, 1 table
Investigation of Finite-size 2D Ising Model with a Noisy Matrix of Spin-Spin Interactions
Violation of the Fluctuation-Dissipation Theorem in a Two-Dimensional Ising Model with Dipolar Interactions
Fermionic Structure of Two-Dimensional Ising Model with Quenched Site Dilution
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