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Published in

American Institute of Physics, Physics of Plasmas, 6(24), p. 064502

DOI: 10.1063/1.4985318

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Unified transport scaling laws for plasma blobs and depletions

Journal article published in 2017 by Matthias Wiesenberger ORCID, Markus Held, Ralph Kube ORCID, Odd Erik Garcia ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We study the dynamics of seeded plasma blobs and depletions in an (effective) gravitational field. For incompressible flows the radial center of mass velocity of blobs and depletions is proportional to the square root of their initial cross-field size and amplitude. If the flows are compressible, this scaling holds only for ratios of amplitude to size larger than a critical value. Otherwise, the maximum blob and depletion velocity depends linearly on the initial amplitude and is independent of size. In both cases the acceleration of blobs and depletions depends on their initial amplitude relative to the background plasma density, is proportional to gravity and independent of their cross-field size. Due to their reduced inertia plasma depletions accelerate more quickly than the corresponding blobs. These scaling laws are derived from the invariants of the governing drift-fluid equations and agree excellently with numerical simulations over five orders of magnitude. We suggest an empirical model that unifies and correctly captures the radial acceleration and maximum velocities of both blobs and depletions.