n-vicinity Method and 1D Ising Model


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For a 1D Ising model, we obtained an exact expression for the spectral density in an n-vicinity of the ground state and explained why our n-vicinity method with the Gaussian approximation of the spectral density did not applicable in this case. We also found an analytical expression for the distribution of magnetization at an arbitrary temperature. When the temperature tends to zero the distribution of magnetization gradually flattens.

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B. Kryzhanovsky

Scientific Research Institute for System Analysis, Russian Academy of Sciences

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Email: kryzhanov@mail.ru
俄罗斯联邦, Moscow, 117218

L. Litinskii

Scientific Research Institute for System Analysis, Russian Academy of Sciences

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Email: litin@mail.ru
俄罗斯联邦, Moscow, 117218

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