Collapsing systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Asymptotic Properties, Gravitational Collapse, Statistical Mechanics, Systems Simulation, Canonical Forms, Fokker-Planck Equation, Ground State, Monte Carlo Method, Classical Ensemble Theory, Phase Transitions: General Studies, Equilibrium Properties Near Critical Points, Critical Exponents

Scientific paper

The stability problem posed in statistical mechanics by self-gravitating systems is discussed for the simpler case of systems with a purely attractive nonsingular pair potential of short range. Molecular-dynamics simulations of such systems are reported and are found to agree remarkably well with a modified version of the Hertel-Thirring cell model. A first-order phase transition is observed between a homogeneous phase at high energies and a collapsing phase with a single, very compact cluster in a diluted homogeneous background at low energies. The latter is not an extensive or thermodynamic phase. According to the cell model, really large systems are most likely to be found in a critical state hesitating between these two phases.

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