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Angular momentum induced phase transition in spherical gravitational systems

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  • Klinko, Peter
  • Miller, Bruce N

Abstract

We present the results of N-body simulations for a self-gravitating system in the microcanonical ensemble for the l2 model, where we fix the magnitude of angular momentum for each particle. In the mean-field limit, the system exhibits a first-order phase transition between a centrally condensed and a quasi-uniform phase in both canonical and microcanonical ensembles. In the present work, we verify the presence of the phase transition via N-body simulations. With increasing particle numbers, the simulation results converge to the mean-field phase transition in accordance with finite size scaling theory. We also use correlations in position and time to investigate the main dynamical features of each phase.

Suggested Citation

  • Klinko, Peter & Miller, Bruce N, 2002. "Angular momentum induced phase transition in spherical gravitational systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 258-265.
  • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:258-265
    DOI: 10.1016/S0378-4371(01)00672-0
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