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Continuous limit of discrete systems with long-range interaction

โœ Scribed by Tarasov, Vasily E


Book ID
115535591
Publisher
Institute of Physics
Year
2006
Tongue
English
Weight
209 KB
Volume
39
Category
Article
ISSN
0305-4470

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Fractional dynamics of systems with long
โœ Vasily E. Tarasov; George M. Zaslavsky ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 623 KB

We consider one-dimensional chain of coupled linear and nonlinear oscillators with long-range powerwise interaction defined by a term proportional to 1/jn ร€ mj a+1 . Continuous medium equation for this system can be obtained in the socalled infrared limit when the wave number tends to zero. We const