Spectral Characteristics of a Finite 2D Ising Model

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. © 2018, Allerton Press, Inc.

Authors
Karandashev I.M. 1, 2 , Kryzhanovsky B.V.1 , Malsagov M.Y.1
Publisher
Allerton Press Incorporation
Number of issue
3
Language
English
Pages
147-151
Status
Published
Volume
27
Year
2018
Organizations
  • 1 Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow, Russian Federation
  • 2 Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
2D Ising model; critical point; energy dispersion; internal energy; partition function; spectral density
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