Statistical mechanics of a one-dimensional self-gravitating system
Thesis/Dissertation
·
OSTI ID:5116237
A series of numerical computer experiments on a one-dimensional self-gravitating system has been conducted. It has been estimated that the thermalization time for this system to be N/sup 2/ tau c, based on oscillations in the kinetic energy covariance. The direct comparison of the time-averaged density with the ensemble-averaged density has been used to show that the relaxation time is orders of magnitude longer than their estimate. The degree of convergence is compared to the ensemble-average for systems of 4, 5, and 6 particles. The N = 6 case converges better than the N = 4 case, which we show is consistent with the Froeschle and Scheidecker (1975) interpretation of this model. A systematic exploration of the surface of sections for 3 particles is made. A dynamical interpretation of the stable and chaotic orbits is given.
- Research Organization:
- Texas Christian Univ., Fort Worth (USA)
- OSTI ID:
- 5116237
- Country of Publication:
- United States
- Language:
- English
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