Analytical expressions for a finite-size 2D Ising model
- 作者: Karandashev I.M.1, Kryzhanovsky B.V.1, Malsagov M.Y.1
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隶属关系:
- Scientific Research Institute for System Analysis
- 期: 卷 26, 编号 3 (2017)
- 页面: 165-171
- 栏目: Article
- URL: https://journals.rcsi.science/1060-992X/article/view/194991
- DOI: https://doi.org/10.3103/S1060992X17030031
- ID: 194991
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详细
Numerical methods are used to examine the thermodynamic characteristics of the twodimensional 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.
作者简介
I. Karandashev
Scientific Research Institute for System Analysis
编辑信件的主要联系方式.
Email: karandashev@niisi.ras.ru
俄罗斯联邦, Moscow
B. Kryzhanovsky
Scientific Research Institute for System Analysis
Email: karandashev@niisi.ras.ru
俄罗斯联邦, Moscow
M. Malsagov
Scientific Research Institute for System Analysis
Email: karandashev@niisi.ras.ru
俄罗斯联邦, Moscow
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