Long-time behavior of correlation functions in the finite ideal gas

Details Long-time behavior of correlation functions in the finite ideal gas Long-time behavior of correlation functions in the finite ideal gas

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrve..51.5462e&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 51, Issue 6, June 1995, p

Physics

Condensed Matter

Statistical Mechanics

Chaotic Dynamics, Nonequilibrium Gas Dynamics, Classical Statistical Mechanics

Scientific paper

We consider time-dependent correlation functions in the classical problem of a single point particle confined to a one-dimensional box with hard walls. We find that the asymptotic behavior of these correlation functions at large times depends upon the degree of differentiability of the initial ensemble and of the observable, both of which are represented as functions over the phase space. Functions which have a discontinuity in the nth derivative lead to correlations which decay as t-(n+1) at long times t. We conjecture that this sensitive dependence of the long-time behavior on the smoothness of ensembles is connected to the presence of trajectory instability.

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