Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-08-03
Phys. Rev. E 84, 061139 (2011)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 11 figures
Scientific paper
10.1103/PhysRevE.84.061139
Relaxation processes in collisionless dynamics lead to peculiar behavior in systems with long-range interactions such as self-gravitating systems, non-neutral plasmas and wave-particle systems. These systems, adequately described by the Vlasov equation, present quasi-stationary states (QSS), i.e. long lasting intermediate stages of the dynamics that occur after a short significant evolution called "violent relaxation". The nature of the relaxation, in the absence of collisions, is not yet fully understood. We demonstrate in this article the occurrence of stretching and folding behavior in numerical simulations of the Vlasov equation, providing a plausible relaxation mechanism that brings the system from its initial condition into the QSS regime. Area-preserving discrete-time maps with a mean-field coupling term are found to display a similar behaviour in phase space as the Vlasov system.
Buyl Pierre de
Gaspard Pierre
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