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

Abstract

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.

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

Cited by in corpus (21)

• Superdiffusion and Out-of-equilibrium Chaotic Dynamics with Many Degrees of Freedoms
• What should a statistical mechanics satisfy to reflect nature?
• Equilibrium and dynamical properties of two dimensional self-gravitating systems
• One-Dimensional Stochastic Lévy-Lorentz Gas
• Chaos and Statistical Mechanics in the Hamiltonian Mean Field Model
• Hypothesis of strong chaos and anomalous diffusion in coupled symplectic maps
• First-order microcanonical transitions in finite mean-field models
• Metastability, negative specific heat and weak mixing in classical long-range many-rotator system
• The effect of angular momentum conservation in the phase transitions of collapsing systems
• Thermodynamics of Self-Gravitating Systems with Softened Potentials
• Energy current correlation in solvable long-range interacting systems
• Chaotic dynamics and superdiffusion in a Hamiltonian system with many degrees of freedom
• Scaling laws for the largest Lyapunov exponent in long-range systems: A random matrix approach
• Chaos in the Hamiltonian mean field model
• Renormalization group approach to nonextensive statistical mechanics
• Hamiltonian dynamics and geometry of phase transitions in classical XY models
• First and second order clustering transitions for a system with infinite-range attractive interaction
• SOC in a population model with global control
• Diffusion regimes in Levy flights with trapping
• Canonical Ensemble in Non-extensive Statistical Mechanics
• Cluster formation in the Fermi system with long-range interaction