Gravity in one dimension - Persistence of correlation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitation Theory, Kolmogoroff Theory, Newton Second Law, Algorithms, Correlation

Scientific paper

Central questions are concerning the thermalization time-scale in a one-dimensional, self-gravitating system are addressed in the present consideration of the persistent correlation between the positions and velocities of the mass-sheets. An algorithm developed for testing thermalization in the one-dimensional gravitating system was applied to the logistic map as a control; the parameter value associated with global chaos yields complete agreement with theoretical prediction. The implications of these results for gravitational interaction in higher dimension should be considered.

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