|
Large Systems
Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions
E. A. Karatsubaa, P. Morettib a Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia
b Institute for Complex Systems, Italian National Research Council, Florence, Italy
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.
Received: 26.10.2018 Revised: 04.01.2019 Accepted: 09.01.2019
Citation:
E. A. Karatsuba, P. Moretti, “Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions”, Probl. Peredachi Inf., 55:1 (2019), 59–73; Problems Inform. Transmission, 55:1 (2019), 53–66
Linking options:
https://www.mathnet.ru/eng/ppi2285 https://www.mathnet.ru/eng/ppi/v55/i1/p59
|
Statistics & downloads: |
Abstract page: | 189 | Full-text PDF : | 32 | References: | 33 | First page: | 10 |
|