TITLE

Map of discrete system into continuous

AUTHOR(S)
Tarasov, Vasily E.
PUB. DATE
September 2006
SOURCE
Journal of Mathematical Physics;Sep2006, Vol. 47 Issue 9, p092901
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
22567292

 

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