skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Superbanana transport in the collisional heating of a plasma column forced across a squeeze potential

Abstract

When weakly collisional plasmas have locally trapped particle populations, perturbations to the plasma equilibrium (such as waves or static field-errors) can induce phase-space discontinuities in the particle distribution function that strongly enhance entropy production, plasma loss, and wave damping via superbanana transport. Here, this paper presents a simple version of this superbanana transport process, wherein a plasma is heated as it is slowly forced back and forth across a squeeze potential (at a frequency ω that is small compared with the particle bounce frequency). The squeeze potential traps low-energy particles on either side of the squeeze, but particles with higher energy can pass through it. Trapped and passing particles have different responses to the forcing, causing a collisionless discontinuity in the distribution function at the separatrix between the trapped and passing particles. Expressions for both the adiabatic and non-adiabatic distribution functions are presented, and the heating rate caused by collisional broadening of the separatrix discontinuity is derived. The heating rate is proportional to √νω , provided that ν<

Authors:
 [1]
  1. Univ. of California, San Diego, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1514862
Alternate Identifier(s):
OSTI ID: 1410465
Grant/Contract Number:  
SC0002451
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 11; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Dubin, Daniel H. E. Superbanana transport in the collisional heating of a plasma column forced across a squeeze potential. United States: N. p., 2017. Web. doi:10.1063/1.5001062.
Dubin, Daniel H. E. Superbanana transport in the collisional heating of a plasma column forced across a squeeze potential. United States. doi:10.1063/1.5001062.
Dubin, Daniel H. E. Tue . "Superbanana transport in the collisional heating of a plasma column forced across a squeeze potential". United States. doi:10.1063/1.5001062. https://www.osti.gov/servlets/purl/1514862.
@article{osti_1514862,
title = {Superbanana transport in the collisional heating of a plasma column forced across a squeeze potential},
author = {Dubin, Daniel H. E.},
abstractNote = {When weakly collisional plasmas have locally trapped particle populations, perturbations to the plasma equilibrium (such as waves or static field-errors) can induce phase-space discontinuities in the particle distribution function that strongly enhance entropy production, plasma loss, and wave damping via superbanana transport. Here, this paper presents a simple version of this superbanana transport process, wherein a plasma is heated as it is slowly forced back and forth across a squeeze potential (at a frequency ω that is small compared with the particle bounce frequency). The squeeze potential traps low-energy particles on either side of the squeeze, but particles with higher energy can pass through it. Trapped and passing particles have different responses to the forcing, causing a collisionless discontinuity in the distribution function at the separatrix between the trapped and passing particles. Expressions for both the adiabatic and non-adiabatic distribution functions are presented, and the heating rate caused by collisional broadening of the separatrix discontinuity is derived. The heating rate is proportional to √νω , provided that ν<},
doi = {10.1063/1.5001062},
journal = {Physics of Plasmas},
number = 11,
volume = 24,
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Resonant Particle Heating of an Electron Plasma by Oscillating Sheaths
journal, July 1998


Damping of the Trapped-Particle Diocotron Mode
journal, June 2003


Chaotic Transport and Damping from θ -Ruffled Separatrices
journal, November 2010


Temperature and anisotropic‐temperature relaxation measurements in cold, pure‐electron plasmas
journal, April 1996

  • Beck, B. R.; Fajans, J.; Malmberg, J. H.
  • Physics of Plasmas, Vol. 3, Issue 4
  • DOI: 10.1063/1.871749

Finite length thermal equilibria of a pure electron plasma column
journal, January 1979

  • Prasad, S. A.; O’Neil, T. M.
  • Physics of Fluids, Vol. 22, Issue 2
  • DOI: 10.1063/1.862578

Collisionless and collisional effects on plasma waves from a partition squeeze
journal, November 2014


Neoclassical transport and plasma mode damping caused by collisionless scattering across an asymmetric separatrix
journal, June 2011

  • Dubin, Daniel H. E.; Tsidulko, Yu. A.
  • Physics of Plasmas, Vol. 18, Issue 6
  • DOI: 10.1063/1.3594584

Neoclassical transport processes in weakly collisional plasmas with fractured velocity distribution functions
journal, September 2014

  • Kabantsev, A. A.; Driscoll, C. F.; Dubin, D. H. E.
  • Journal of Plasma Physics, Vol. 81, Issue 1
  • DOI: 10.1017/S0022377814000701

Neoclassical Transport Caused by Collisionless Scattering across an Asymmetric Separatrix
journal, October 2010


Plasma Oscillations with Diffusion in Velocity Space
journal, December 1958


Stability regions of dissipative trapped-ion instability
journal, January 1972


First Test of Long-Range Collisional Drag via Plasma Wave Damping
journal, October 2016


Chaotic Neoclassical Separatrix Dissipation in Parametric Drift-Wave Decay
journal, February 2014


Theory and simulations of electrostatic field error transport
journal, July 2008


Plasma Diffusion in a Toroidal Stellarator
journal, March 1969


Enhanced superbanana transport caused by chaotic scattering across an asymmetric separatrix
journal, May 2012

  • Dubin, Daniel H. E.; Kabantsev, A. A.; Driscoll, C. F.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3694053

Transport optimization in stellarators
journal, May 2006


Resonant Drift-Wave Coupling Modified by Nonlinear Separatrix Dissipation
journal, August 2008