Origin of scaling structure and non-Gaussian velocity distribution in a self-gravitating ring model

Yasuhide Sota, Osamu Iguchi, Masahiro Morikawa, Takayuki Tatekawa, Keiichi Maeda

    Research output: Contribution to journalArticle

    Abstract

    Fractal structures and non-Gaussian velocity distributions are characteristic properties commonly observed in virialized self-gravitating systems, such as galaxies and interstellar molecular clouds. We study the origin of these properties using a one-dimensional ring model that we propose in this paper. In this simple model, N particles are moving, on a circular ring fixed in three-dimensional space, with mutual interaction of gravity. This model is suitable for the accurate symplectic integration method by which we argue the phase transition in this system. Especially, in between the extended phase and the collapsed phase, we find an interesting phase (halo phase) that has negative specific heat at the intermediate energy scale. Moreover, in this phase, there appear scaling properties and nonthermal and non-Gaussian velocity distributions. In contrast, these peculiar properties are never observed in other gas and core phases. Particles in each phase have a typical time scale of motions determined by the cutoff length [formula presented] the ring radius R, and the total energy E. Thus all relaxation patterns of the system are determined by these three time scales.

    Original languageEnglish
    Number of pages1
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume64
    Issue number5
    DOIs
    Publication statusPublished - 2001 Jan 1

    Fingerprint

    Velocity Distribution
    velocity distribution
    Scaling
    Ring
    scaling
    rings
    molecular clouds
    Model
    Time Scales
    Symplectic Integration
    halos
    fractals
    cut-off
    specific heat
    vapor phases
    gravitation
    galaxies
    Fractal Structure
    Specific Heat
    Galaxies

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Physics and Astronomy(all)

    Cite this

    Origin of scaling structure and non-Gaussian velocity distribution in a self-gravitating ring model. / Sota, Yasuhide; Iguchi, Osamu; Morikawa, Masahiro; Tatekawa, Takayuki; Maeda, Keiichi.

    In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 64, No. 5, 01.01.2001.

    Research output: Contribution to journalArticle

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    AU - Morikawa, Masahiro

    AU - Tatekawa, Takayuki

    AU - Maeda, Keiichi

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