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Optical Memory and Neural Networks

, Volume 27, Issue 4, pp 235–245 | Cite as

n-vicinity Method and 1D Ising Model

  • B. V. KryzhanovskyEmail author
  • L. B. LitinskiiEmail author
Article
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Abstract

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.

Keywords:

spectral density 1D Ising model n-vicinity method distribution of magnetization 

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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Scientific Research Institute for System Analysis, Russian Academy of SciencesMoscowRussia

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