Spectral Characteristics of a Finite 2D Ising Model


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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.

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I. Karandashev

Scientific Research Institute for System Analysis, Russian Academy of Sciences; Peoples Friendship University of Russia (RUDN University)

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Email: karandashev@niisi.ras.ru
俄罗斯联邦, Moscow; Moscow

B. Kryzhanovsky

Scientific Research Institute for System Analysis, Russian Academy of Sciences

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Email: kryzhanov@gmail.com
俄罗斯联邦, Moscow

M. Malsagov

Scientific Research Institute for System Analysis, Russian Academy of Sciences

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Email: malsagov@niisi.ras.ru
俄罗斯联邦, Moscow

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