Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..tsf.a2006y&link_type=abstract
American Physical Society, Texas Section Fall, October 23-25, 2003, Texas Tech Campus, Lubbock Texas, MEETING ID: TSF03, abstrac
Astronomy and Astrophysics
Astronomy
Scientific paper
Due to the apparent ease with which they can be numerically simulated, one-dimensional gravitational systems were first introduced by astronomers to explore different modes of gravitational evolution. These include violent relaxation and the approach to thermal equilibrium. Unusual features of the evolution of these systems include the development of long lasting structures on large scales, which can be thought of as one-dimensional analogues of Jupiter's red spot or a galactic spiral density wave or bar. The existence of these structures demonstrates that in gravitational systems evolution is not entirely dominated by the second law of thermodynamics and also appears to contradict the Arnold diffusion ansatz. Thus it is correct to assert that the one dimensional planar sheet gravitational system is the non-extensive analogue of the Fermi-Pasta-Ulam model of dynamical systems. In this study we employ both mean-field theory and dynamical simulation to probe the statistical and ergodic properties of these systems. Information obtained from local and global time averaging, and temporal and spatial correlation functions show that the system appears to approach the equilibrium distribution on very long time scales, but the relaxation is incomplete.
Miller Bruce
Yawn Kenneth
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