Email this article Spectral Characteristics of a Finite 2D Ising Model
- Authors: Karandashev I.M.1,2, Kryzhanovsky B.V.1, Malsagov M.Y.1
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Affiliations:
- Scientific Research Institute for System Analysis, Russian Academy of Sciences
- Peoples Friendship University of Russia (RUDN University)
- Issue: Vol 27, No 3 (2018)
- Pages: 147-151
- Section: Article
- URL: https://journals.rcsi.science/1060-992X/article/view/195101
- DOI: https://doi.org/10.3103/S1060992X18030025
- ID: 195101
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Abstract
The paper gives the results of a numerical simulation of a two-dimensional Ising model built on finite lattices of dimension L = 50, 100, …, 500. Approximate analytical formulae for the spectral energy density are offered. Derived from Onsager’s solution with consideration of the finite size of the system, the formulae agree well with the simulation results.
About the authors
I. M. Karandashev
Scientific Research Institute for System Analysis, Russian Academy of Sciences; Peoples Friendship University of Russia (RUDN University)
Author for correspondence.
Email: karandashev@niisi.ras.ru
Russian Federation, Moscow; Moscow
B. V. Kryzhanovsky
Scientific Research Institute for System Analysis, Russian Academy of Sciences
Author for correspondence.
Email: kryzhanov@gmail.com
Russian Federation, Moscow
M. Yu. Malsagov
Scientific Research Institute for System Analysis, Russian Academy of Sciences
Author for correspondence.
Email: malsagov@niisi.ras.ru
Russian Federation, Moscow
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