Maximum-entropy states for magnetized ion transport

E. J. Kolmes; I. E. Ochs; M. E. Mlodik; N. J. Fisch

doi:10.1016/j.physleta.2020.126262

Maximum-entropy states for magnetized ion transport

E. J. Kolmes, I. E. Ochs, M. E. Mlodik, N. J. Fisch

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10 Scopus citations

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 or the dynamics of the system, only on the presence of certain conservation properties.

Original language	English (US)
Article number	126262
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	384
Issue number	13
DOIs	https://doi.org/10.1016/j.physleta.2020.126262
State	Published - May 7 2020

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Differential transport
Impurity pinch
Impurity transport
Maximum entropy
Plasma thermodynamics
Rotating plasma

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10.1016/j.physleta.2020.126262

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title = "Maximum-entropy states for magnetized ion transport",

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 or the dynamics of the system, only on the presence of certain conservation properties.",

keywords = "Differential transport, Impurity pinch, Impurity transport, Maximum entropy, Plasma thermodynamics, Rotating plasma",

author = "Kolmes, {E. J.} and Ochs, {I. E.} and Mlodik, {M. E.} and Fisch, {N. J.}",

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T1 - Maximum-entropy states for magnetized ion transport

AU - Kolmes, E. J.

AU - Ochs, I. E.

AU - Mlodik, M. E.

AU - Fisch, N. J.

PY - 2020/5/7

Y1 - 2020/5/7

N2 - 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 or the dynamics of the system, only on the presence of certain conservation properties.

AB - 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 or the dynamics of the system, only on the presence of certain conservation properties.

KW - Differential transport

KW - Impurity pinch

KW - Impurity transport

KW - Maximum entropy

KW - Plasma thermodynamics

KW - Rotating plasma

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M3 - Article

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 13

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ER -

Maximum-entropy states for magnetized ion transport

Abstract

All Science Journal Classification (ASJC) codes

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