Anomalous diffusion as a signature of collapsing phase in two dimensional self-gravitating systems

Details Anomalous diffusion as a signature of collapsing phase in two dimensional self-gravitating systems Anomalous diffusion as a signature of collapsing phase in two dimensional self-gravitating systems

1998-01-02

arxiv.org/abs/cond-mat/9801008v1

Phys. Rev. E, Rapid Communication, 57 (1998) R6233

Physics

Condensed Matter

Statistical Mechanics

10 pages, Revtex - 3 Figs - Submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.57.R6233

A two dimensional self-gravitating Hamiltonian model made by $N$ fully-coupled classical particles exhibits a transition from a collapsing phase (CP) at low energy to a homogeneous phase (HP) at high energy. From a dynamical point of view, the two phases are characterized by two distinct single-particle motions : namely, superdiffusive in the CP and ballistic in the HP. Anomalous diffusion is observed up to a time $\tau$ that increases linearly with $N$. Therefore, the finite particle number acts like a white noise source for the system, inhibiting anomalous transport at longer times.

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