Velocity Correlation Function of the One-Dimensional Self-Gravitating System

スポンサーリンク

概要

• 論文の詳細を見る

• We develop a kinetic theory for the one-dimensional self-gravitating system (1d-SG system). It is known that the collision term in usual kinetic theory for one-dimensional system is identically zero, when all particles have the same mass. Here we choose a phenomenological approach. Assuming that the system is near equilibrium, we use an approximation that the system is in a thermal bath, called the thermal bath approximation (TBA). With this approximation, velocity correlation function of the 1d-SG system is investigated. The direct numerical simulation shows \langle v(t)v(0) \rangle \sim t^{-\alpha} for small N (\alpha = 2.0{\mbox{--}}1.4), where N is the number of sheets. On the other hand, the TBA shows \langle v(t)v(0)\rangle \sim t^{-2} for small N. For large N, the velocity correlation function exhibits slow relaxation. The reason of slow relaxation is explained in terms of the stochastic differential equation derived from the TBA.

• 2011-11-15

著者

• Sano Mitsusada

  Graduate School Of Human And Environmental Studies Kyoto University

関連論文

• Irreversible Circulation of Fluctuation and Entropy Production(Condensed Matter and Statistical Physics)
• Dynamics of Two-Sign Point Vortices in Positive and Negative Temperature States
• Numerical Simulation of Vortex Crystals and Merging in N-Point Vortex Systems with Circular Boundary(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
• Statistical Mechanical Estimate of Energy Spectrum for N-Point Vortex Systems(General)
• Steady Thermal Conduction Far From Equilibrium in Ding-Dong Model(General)
• Kinetic Theory of Dawson Plasma Sheet Model
• Semiclassical Interpretation of Electron Correlation in Helium
• Velocity Correlation Function of the One-Dimensional Self-Gravitating System

スポンサーリンク