About the Velocities of Self-interacting Particles in the 1-D Torus

作者：Pallard Christophe^*

来源：Journal of Statistical Physics, 2011, 144(4): 826-830.

DOI：10.1007/s10955-011-0295-7

• Vlasov-Poisson equation
• Asymptotic behaviour

A large number of identical particles in self-interaction in the torus may be described by the Vlasov-Poisson system of equations. Assuming the initial velocities to be bounded, one considers the asymptotic behaviour of the maximum velocity in the cloud and shows it grows at most like a power one third of the time variable.

• 出版日期2011-8