Map of discrete system into continuous

被引：47

作者：

Tarasov, Vasily E. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119992, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 47卷 / 09期

关键词：

D O I：

10.1063/1.2337852

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Continuous limits of discrete systems with long-range interactions are considered. The map of discrete models into continuous medium models is defined. A wide class of long-range interactions that give the fractional equations in the continuous limit is discussed. The one-dimensional systems of coupled oscillators for this type of long-range interactions are considered. The discrete equations of motion are mapped into the continuum equation with the Riesz fractional derivative. (c) 2006 American Institute of Physics.

引用

页数：24