Probability of Inversion of a Large Spin in the Form of an Asymptotic Expansion in a Series of Bessel Functions
- Authors: Karatsuba E.A.1, Morettib P.2
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Affiliations:
- Dorodnitsyn Computing Center of the Federal Research Center
- Institute for Complex Systems
- Issue: Vol 55, No 1 (2019)
- Pages: 53-66
- Section: Large Systems
- URL: https://journal-vniispk.ru/0032-9460/article/view/166576
- DOI: https://doi.org/10.1134/S0032946019010034
- ID: 166576
Cite item
Abstract
An exact expression for the probability of inversion of a large spin is established in the form of an asymptotic expansion in the series of Bessel functions with orders belonging to an arithmetic progression. Based on the new asymptotic expansion, a formula for the inversion time of the spin is derived.
About the authors
E. A. Karatsuba
Dorodnitsyn Computing Center of the Federal Research Center
Author for correspondence.
Email: karatsuba@mi.ras.ru
Russian Federation, Moscow
P. Morettib
Institute for Complex Systems
Author for correspondence.
Email: pmoretti56@gmail.com
Italy, Sesto Fiorentino, Florence
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