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., 2019, Volume 55, Issue 1,Pages <nobr>59

Large Systems

Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions

E. A. Karatsuba^a, P. Moretti^b

^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.

UDC: 621.391.1 : 519.651 : 519.688

Received: 26.10.2018
Revised: 04.01.2019
Accepted: 09.01.2019

DOI: 10.1134/S0134347519010030