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Coarse-grained collisionless dynamics with long-range interactions
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DOI：10.1103/PhysRevResearch.2.023379.png)
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摘要
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We present an effective evolution equation for a coarse-grained distribution function of a long-range-interacting system preserving the symplectic structure of the noncollisional Boltzmann, or Vlasov, equation. First, we derive a general form of such an equation based on symmetry considerations only. Then we explicitly derive the equation for one-dimensional systems, finding that it has the form predicted on general grounds. Finally, we use this equation to predict the dependence of the damping times on the coarse-graining scale and numerically check it for some one-dimensional models, including the Hamiltonian mean-field model, a scalar field with quartic interaction, a 1-d self-gravitating system, and a self-gravitating ring.
Keyword:
NUMERICAL RESOLUTION
VIOLENT RELAXATION
STELLAR-SYSTEMS
OSCILLATION
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4.2
论文数:
7.6K
被引数:
2.7W
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