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
Dynamical screening of long-range interactions in nonrelativistic self-gravitating systems
โ Scribed by Yu. Kukharenko; A. Vityazev; A. Bashkirov
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 274 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0375-9601
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๐ SIMILAR VOLUMES
We review simple aspects of the thermodynamic and dynamical properties of systems with long-range pairwise interactions (LRI), which decay as 1/r d+ฯ at large distances r in d dimensions. Two broad classes of such systems are discussed. (i) Systems with a slow decay of the interactions, termed ''str
Field equations with time and coordinate derivatives of noninteger order are derived from a stationary action principle for the cases of power-law memory function and long-range interaction in systems. The method is applied to obtain a fractional generalization of the Ginzburg-Landau and nonlinear S