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arXiv · 1907.01519

Maximum-Entropy States for Magnetized Ion Transport

E. J. Kolmes·I. E. Ochs·M. E. Mlodik·N. J. Fisch
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Abstract

For a plasma with fixed total energy, number of particles, and momentum, the distribution function that maximizes entropy is a Boltzmann distribution. If, in addition, the rearrangement of charge is constrained, as happens on ion-ion collisional timescales for cross-field multiple-species transport, the maximum-entropy state is instead given by the classic impurity pinch relation. The maximum-entropy derivation, unlike previous approaches, does not rely on the details of the collision operator, only on the presence of certain conservation properties.

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E. J. Kolmes, I. E. Ochs, M. E. Mlodik, N. J. Fisch. 2020-04-06. Maximum-Entropy States for Magnetized Ion Transport. https://doi.org/10.1016/j.physleta.2020.126262

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