The Statistical Mechanics of a OneDimensional SelfGravitating System.
Abstract
A series of numerical computer experiments on a onedimensional selfgravitating system has been conducted. Hohl and Broaddus (1967) have estimated the thermalization time for this system to be N('2)(tau)c, based on oscillations in the kinetic energy covariance. We have used the direct comparison of the timeaveraged density with the ensemble averaged density to show that the relaxation time is orders of magnitude longer than their estimate. We compare the degree of convergence 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.
 Publication:

Ph.D. Thesis
 Pub Date:
 1982
 Bibcode:
 1982PhDT........84W
 Keywords:

 Physics: General