Continuous Limit of Discrete Systems with Long-Range Interaction

Details Continuous Limit of Discrete Systems with Long-Range Interaction Continuous Limit of Discrete Systems with Long-Range Interaction

2007-11-06

arxiv.org/abs/0711.0826v1

Journal of Physics A 39 (2006) 14895-14910

Physics

Classical Physics

23 pages, LaTeX

Scientific paper

Discrete systems with long-range interactions are considered. Continuous medium models as continuous limit of discrete chain system are defined. Long-range interactions of chain elements that give the fractional equations for the medium model are discussed. The chain equations of motion with long-range interaction are mapped into the continuum equation with the Riesz fractional derivative. We formulate the consistent definition of continuous limit for the systems with long-range interactions. In this paper, we consider a wide class of long-range interactions that give fractional medium equations in the continuous limit. The power-law interaction is a special case of this class.

Affiliated with

Also associated with

No associations

Rating

Continuous Limit of Discrete Systems with Long-Range Interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Continuous Limit of Discrete Systems with Long-Range Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Continuous Limit of Discrete Systems with Long-Range Interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134247