Fractional dynamics of coupled oscillators with long-range interaction |
| |
Authors: | Tarasov Vasily E Zaslavsky George M |
| |
Institution: | Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 119992, Russia. |
| |
Abstract: | We consider a one-dimensional chain of coupled linear and nonlinear oscillators with long-range powerwise interaction. The corresponding term in dynamical equations is proportional to 1//n-m/alpha+1. It is shown that the equation of motion in the infrared limit can be transformed into the medium equation with the Riesz fractional derivative of order alpha, when 0
|
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|