Universal Threshold for the Dynamical Behavior of Lattice Systems with Long-Range Interactions
β Scribed by Bachelard, Romain; Kastner, Michael
- Book ID
- 120245386
- Publisher
- The American Physical Society
- Year
- 2013
- Tongue
- English
- Weight
- 358 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0031-9007
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π SIMILAR VOLUMES
We consider one-dimensional chain of coupled linear and nonlinear oscillators with long-range powerwise interaction defined by a term proportional to 1/jn Γ 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
We review simple aspects of the thermodynamic and dynamical properties of systems with long-range pairwise interactions (LRI), which decay as 1/r d+Ο 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