n-vicinity Method and 1D Ising Model
- Authors: Kryzhanovsky B.V.1, Litinskii L.B.1
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Affiliations:
- Scientific Research Institute for System Analysis, Russian Academy of Sciences
- Issue: Vol 27, No 4 (2018)
- Pages: 235-245
- Section: Article
- URL: https://journals.rcsi.science/1060-992X/article/view/195133
- DOI: https://doi.org/10.3103/S1060992X18040033
- ID: 195133
Cite item
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.
About the authors
B. V. Kryzhanovsky
Scientific Research Institute for System Analysis, Russian Academy of Sciences
Author for correspondence.
Email: kryzhanov@mail.ru
Russian Federation, Moscow, 117218
L. B. Litinskii
Scientific Research Institute for System Analysis, Russian Academy of Sciences
Author for correspondence.
Email: litin@mail.ru
Russian Federation, Moscow, 117218