Counterintuitive Particle Confinement in a Helical Force-Free Plasma

The force-free magnetic field solution formed in a high-aspect ratio cylinder is a non-axisymmetric (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>m</mi><mo>=</mo><mn>1&...

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Main Authors: Adam D. Light, Hariharan Srinivasulu, Christopher J. Hansen, Michael R. Brown
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Plasma
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Online Access:https://www.mdpi.com/2571-6182/8/2/20
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author Adam D. Light
Hariharan Srinivasulu
Christopher J. Hansen
Michael R. Brown
author_facet Adam D. Light
Hariharan Srinivasulu
Christopher J. Hansen
Michael R. Brown
author_sort Adam D. Light
collection DOAJ
description The force-free magnetic field solution formed in a high-aspect ratio cylinder is a non-axisymmetric (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>m</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>), closed magnetic structure that can be produced in laboratory experiments. Force-free equilibria can have strong field gradients that break the usual adiabatic invariants associated with particle motion, and gyroradii at measured conditions can be large relative to the gradient scale lengths of the magnetic field. Individual particle motion is largely unexplored in force-free systems without axisymmetry, and it is unclear how the large gradients influence confinement. To understand more about how particles remain confined in these configurations, we simulate a thermal distribution of protons moving in a high-aspect-ratio force-free magnetic field using a Boris stepper. The particle loss is logarithmic in time, which suggests trapping and/or periodic orbits. Many particles do remain confined in particular regions of the field, analogous to trapped particles in other magnetic configurations. Some closed flux surfaces can be identified, but particle orbits are not necessarily described by these surfaces. We show examples of orbits that remain on well-defined surfaces and discuss the statistical properties of confined and escaping particles.
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spelling doaj-art-2ea4aecec6f344dc92a54cdfdd1d21952025-08-20T03:29:44ZengMDPI AGPlasma2571-61822025-05-01822010.3390/plasma8020020Counterintuitive Particle Confinement in a Helical Force-Free PlasmaAdam D. Light0Hariharan Srinivasulu1Christopher J. Hansen2Michael R. Brown3Physics, Colorado College, 14 E Cache la Poudre Street, Colorado Springs, CO 80903, USAPhysics and Astronomy, Swarthmore College, 500 College Ave, Swarthmore, PA 19081, USAApplied Physics & Applied Mathematics, Columbia University, 500 W 120th St, New York, NY 10027, USAPhysics and Astronomy, Swarthmore College, 500 College Ave, Swarthmore, PA 19081, USAThe force-free magnetic field solution formed in a high-aspect ratio cylinder is a non-axisymmetric (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>m</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>), closed magnetic structure that can be produced in laboratory experiments. Force-free equilibria can have strong field gradients that break the usual adiabatic invariants associated with particle motion, and gyroradii at measured conditions can be large relative to the gradient scale lengths of the magnetic field. Individual particle motion is largely unexplored in force-free systems without axisymmetry, and it is unclear how the large gradients influence confinement. To understand more about how particles remain confined in these configurations, we simulate a thermal distribution of protons moving in a high-aspect-ratio force-free magnetic field using a Boris stepper. The particle loss is logarithmic in time, which suggests trapping and/or periodic orbits. Many particles do remain confined in particular regions of the field, analogous to trapped particles in other magnetic configurations. Some closed flux surfaces can be identified, but particle orbits are not necessarily described by these surfaces. We show examples of orbits that remain on well-defined surfaces and discuss the statistical properties of confined and escaping particles.https://www.mdpi.com/2571-6182/8/2/20force-freeparticle orbitsmagnetized plasma
spellingShingle Adam D. Light
Hariharan Srinivasulu
Christopher J. Hansen
Michael R. Brown
Counterintuitive Particle Confinement in a Helical Force-Free Plasma
Plasma
force-free
particle orbits
magnetized plasma
title Counterintuitive Particle Confinement in a Helical Force-Free Plasma
title_full Counterintuitive Particle Confinement in a Helical Force-Free Plasma
title_fullStr Counterintuitive Particle Confinement in a Helical Force-Free Plasma
title_full_unstemmed Counterintuitive Particle Confinement in a Helical Force-Free Plasma
title_short Counterintuitive Particle Confinement in a Helical Force-Free Plasma
title_sort counterintuitive particle confinement in a helical force free plasma
topic force-free
particle orbits
magnetized plasma
url https://www.mdpi.com/2571-6182/8/2/20
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AT hariharansrinivasulu counterintuitiveparticleconfinementinahelicalforcefreeplasma
AT christopherjhansen counterintuitiveparticleconfinementinahelicalforcefreeplasma
AT michaelrbrown counterintuitiveparticleconfinementinahelicalforcefreeplasma