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Poincaré maps define topography of Vlasov distribution functions consistent with stochastic dynamics

Bailey, A. D., III and Bellan, P. M. and Stern, R. A. (1995) Poincaré maps define topography of Vlasov distribution functions consistent with stochastic dynamics. Physics of Plasmas, 2 (8). pp. 2963-2969. ISSN 1070-664X. http://resolver.caltech.edu/CaltechAUTHORS:BAIpop95

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Abstract

In a recent paper [A. D. Bailey et al., Phys. Rev. Lett. 34, 3124 (1993)], the authors presented direct planar laser induced fluorescence measurements of the oscillatory ion fluid velocity field in the presence of a large amplitude drift-Alfven wave. Surprisingly, the measured speeds were an order of magnitude lower than predicted by standard fluid theory, yet the flow pattern was consistent with the fluid theory. A new model, based on the connection between stochasticity and bulk behavior, is presented which gives insights into the cause of this behavior. It is shown that when particle motion is stochastic, invariant sets of a 'Poincaré map' define a flat-topped particle distribution function consistent with both the electromagnetic field driving the Vlasov equation and the fine-scale single particle dynamics. The approach is described for the general case and explored for a slab model of the observed drift wave.


Item Type:Article
Additional Information:©1995 American Institute of Physics (Received 3 January 1995; accepted 14 April 1995) This work was supported by the National Science Foundation under Grant No. PHY-9114146.
Subject Keywords:BOLTZMANN–VLASOV EQUATION; DISTRIBUTION FUNCTIONS; STOCHASTIC PROCESSES; PLASMA HEATING; SLABS; PHASE SPACE; POINCARE MAPPING; DRIFT WAVES; STOCHASTIC HEATING
Record Number:CaltechAUTHORS:BAIpop95
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BAIpop95
Alternative URL:http://dx.doi.org/10.1063/1.871194
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1994
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:28 Feb 2006
Last Modified:26 Dec 2012 08:47

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