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.
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1595784
- Alternate Identifier(s):
- OSTI ID: 1605330; OSTI ID: 1638054
- Grant/Contract Number:
- FG02-97ER25308; NA0003764; PHY-1506122; 83228-10966
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics Letters. A
- Additional Journal Information:
- Journal Volume: 384; Journal Issue: 13; Journal ID: ISSN 0375-9601
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; maximum entropy; plasma thermodynamics; differential transport; impurity transport; impurity pinch; rotating plasma
Citation Formats
Kolmes, E. J., Ochs, I. E., Mlodik, M. E., and Fisch, N. J. Maximum-entropy states for magnetized ion transport. United States: N. p., 2020.
Web. doi:10.1016/j.physleta.2020.126262.
Kolmes, E. J., Ochs, I. E., Mlodik, M. E., & Fisch, N. J. Maximum-entropy states for magnetized ion transport. United States. https://doi.org/10.1016/j.physleta.2020.126262
Kolmes, E. J., Ochs, I. E., Mlodik, M. E., and Fisch, N. J. Wed .
"Maximum-entropy states for magnetized ion transport". United States. https://doi.org/10.1016/j.physleta.2020.126262. https://www.osti.gov/servlets/purl/1595784.
@article{osti_1595784,
title = {Maximum-entropy states for magnetized ion transport},
author = {Kolmes, E. J. and Ochs, I. E. and Mlodik, M. E. and Fisch, N. J.},
abstractNote = {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.},
doi = {10.1016/j.physleta.2020.126262},
journal = {Physics Letters. A},
number = 13,
volume = 384,
place = {United States},
year = {Wed Jan 15 00:00:00 EST 2020},
month = {Wed Jan 15 00:00:00 EST 2020}
}
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