Long-Range Correlations in Self-Gravitating N-Body Systems

Abstract

Observed self-gravitating systems reveal often fragmented non-equilibrium structures that feature characteristic long-range correlations. However, models accounting for non-linear structure growth are not always consistent with observations and a better understanding of self-gravitating $N$-body systems appears necessary. Because unstable gravitating systems are sensitive to non-gravitational perturbations we study the effect of different dissipative factors as well as different small and large scale boundary conditions on idealized $N$-body systems. We find, in the interval of negative specific heat, equilibrium properties differing from theoretical predictions made for gravo-thermal systems, substantiating the importance of microscopic physics and the lack of consistent theoretical tools to describe self-gravitating gas. Also, in the interval of negative specific heat, yet outside of equilibrium, unforced systems fragment and establish transient long-range correlations. The strength of these correlations depends on the degree of granularity, suggesting to make the resolution of mass and force coherent. Finally, persistent correlations appear in model systems subject to an energy flow.

arXiv comment20 pages, 21 figures. Accepted for publication in A&A

References in corpus (14)

• Dark Matter Substructure in Galactic Halos
• Star Formation in a Crossing Time
• Gravitational Collapse in Turbulent Molecular Clouds. I. Gasdynamical Turbulence
• Hierarchical galaxy formation and substructure in the Galaxy's stellar halo
• Non-Gaussian equilibrium in a long-range Hamiltonian system
• Self-gravity as an explanation of the fractal structure of the interstellar medium
• Multifractal Scaling, Geometrical Diversity, and Hierarchical Structure in the Cool Interstellar Medium
• The Density Profile of the Dark Matter Halo of NGC 4605
• Lumpy Structures in Self-Gravitating Disks
• The effect of angular momentum conservation in the phase transitions of collapsing systems
• Thermodynamics of Self-Gravitating Systems with Softened Potentials
• Fractal Structures Driven by Self-Gravity: Molecular clouds and the Universe
• Fundamental Aspects of the ISM Fractality
• Scaling Laws in Self-Gravitating Disks

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