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Relaxation of Quasi-stationary States in Long Range Interacting Systems and a Classification of the Range of Pair Interactions by Bruno Marcos; Andrea Gabrielli; Michael Joyce is a Physics and Astronomy article available to read on EtoBox.

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Systems of particles interacting with long range interactions present generically "quasi-stationary states" (QSS), which are approximately time-independent out of equilibrium states. In this proceedings, we explore the generalization of the formation of such QSS and their relaxation from the much studied case of gravity to a generic pair interaction with the asymptotic form of the potential v(r) ∼ 1/r γ with γ > 0 in d dimensions. We compute analytic estimations of the relaxation time calculating the rate of two body collisionality in a virialized system approximated as homogeneous. We show that for γ (d -1/2), it is dominated by small impact parameters. In addition, the lifetime of QSS increases with the number of particles if γ d -1. Using numerical simulations we confirm our analytic results. A corollary of our work gives a "dynamical" classification of interactions: the dynamical properties of the system depend on whether the pair force is integrable or not.

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Author

Bruno Marcos; Andrea Gabrielli; Michael Joyce

Publisher

Walter de Gruyter GmbH

Published

2012

Language

EN

Field

Physics and Astronomy (Physical Sciences)