Rates of convergence of nonextensive statistical distributions to Levy distributions in full and half spaces

Дата и время публикации : 2000-09-26T14:25:15Z

Авторы публикации и институты :
Sumiyoshi Abe (College of Science and Technology, Nihon University, Funabashi, Chiba, Japan)
A. K. Rajagopal (Naval Research Laboratory, Washington, DC)

Ссылка на журнал-издание: J. Phys. A 33, 8723 (2000)
Коментарии к cтатье: 20 pages
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech

Краткий обзор статьи: The Levy-type distributions are derived using the principle of maximum Tsallis nonextensive entropy both in the full and half spaces. The rates of convergence to the exact Levy stable distributions are determined by taking the N-fold convolutions of these distributions. The marked difference between the problems in the full and half spaces is elucidated analytically. It is found that the rates of convergence depend on the ranges of the Levy indices. An important result emerging from the present analysis is deduced if interpreted in terms of random walks, implying the dependence of the asymptotic long-time behaviors of the walks on the ranges of the Levy indices if N is identified with the total time of the walks.

Category: Physics