Up-gradient transport in a probabilistic transport model

J. Gavnholt; J. Juul Rasmussen; O.E. Garcia; V. Naulin; A.H. Nielsen

doi:10.1063/1.2001403

Up-gradient transport in a probabilistic transport model

J. Gavnholt, J. Juul Rasmussen, O.E. Garcia, V. Naulin, A.H. Nielsen

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Abstract

The transport of particles or heat against the driving gradient is studied by employing a probabilistic transport model with a characteristic particle step length that depends on the local concentration or heat gradient. When this gradient is larger than a prescribed critical value, the standard deviation of the step size is large compared to its value when the gradient is below critical. For symmetric as well as asymmetric off-axis fueling, the model is capable of producing profiles peaking at the axis. Additionally, profile consistency is obtained over a broad range of source strengths. These results supplement recent works by van Milligen [Phys. Plasmas 11, 3787 (2004)], which applied Levy distributed step sizes in the case of supercritical gradients to obtain the up-gradient transport. (c) 2005 American Institute of Physics.

Original language	English
Journal	Physics of Plasmas
Volume	12
Issue number	8
Pages (from-to)	084501
Number of pages	4
ISSN	1070-664X
DOIs	https://doi.org/10.1063/1.2001403
Publication status	Published - 2005

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Copyright (2005) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics

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AU - Garcia, O.E.

AU - Naulin, V.

AU - Nielsen, A.H.

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N2 - The transport of particles or heat against the driving gradient is studied by employing a probabilistic transport model with a characteristic particle step length that depends on the local concentration or heat gradient. When this gradient is larger than a prescribed critical value, the standard deviation of the step size is large compared to its value when the gradient is below critical. For symmetric as well as asymmetric off-axis fueling, the model is capable of producing profiles peaking at the axis. Additionally, profile consistency is obtained over a broad range of source strengths. These results supplement recent works by van Milligen [Phys. Plasmas 11, 3787 (2004)], which applied Levy distributed step sizes in the case of supercritical gradients to obtain the up-gradient transport. (c) 2005 American Institute of Physics.

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Up-gradient transport in a probabilistic transport model

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