a Strong Chaos Criterion and Microcanonics of Self Gravitating N-Body Systems

Details a Strong Chaos Criterion and Microcanonics of Self Gravitating N-Body Systems a Strong Chaos Criterion and Microcanonics of Self Gravitating N-Body Systems

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..892c&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

We suggested recently a strong chaos criterion based on an adimensional indicator of chaoticity, by definition invariant under time reparametrization. Bound N-body gravitational systems always satisfy this criterion, so supporting the assumption of an increasingly uniform spreading of orbits over the constant energy surface, i.e., the asymptotic evolution towards a suitably generalized microcanonical distribution. In the course, we outline some among the well known obstacles thought to prevent a rigorous Statistical treatment of gravitationally interacting N-body systems and sketch how to overcome them.

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