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Shafranov's virial theorem and magnetic plasma confinement

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Ludvig Faddeev, Lisa Freyhult, Antti J. Niemi, Peter Rajan

Plasma Physics · Submitted 17 Sep 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We then employ virial arguments to investigate a realistic field theory model of a two-component plasma, and conclude that stable localized solitons can exist in the bulk of a finite density plasma.

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arXiv IDphysics/0009061 (version 3)
Pith IDLNHWBJQ4, Pith's permanent record of this paper and its review
CitationAntti J. Niemi, Lisa Freyhult, Ludvig Faddeev, Peter Rajan. "Shafranov's virial theorem and magnetic plasma confinement." arXiv:physics/0009061 (2000). https://pith.science/paper/LNHWBJQ4
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,624 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.67 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

Shafranov's virial theorem implies that nontrivial magnetohydrodynamical equilibrium configurations must be supported by externally supplied currents. Here we extend the virial theorem to field theory, where it relates to Derrick's scaling argument on soliton stability. We then employ virial arguments to investigate a realistic field theory model of a two-component plasma, and conclude that stable localized solitons can exist in the bulk of a finite density plasma. These solitons entail a nontrivial electric field which implies that purely magnetohydrodynamical arguments are insufficient for describing stable, nontrivial structures within the bulk of a plasma.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Shafranov's virial theorem implies that nontrivial magnetohydrodynamical equilibrium configurations must be supported by externally supplied currents. background 1.00 0.05 0.06 asserted 0.99
s1 Here we extend the virial theorem to field theory, where it relates to Derrick's scaling argument on soliton stability. contribution 0.90 0.90 0.05 asserted 1.00
s2 We then employ virial arguments to investigate a realistic field theory model of a two-component plasma, and conclude that stable localized solitons can exist in the bulk of a finite density plasma. result 0.83 0.93 0.65 asserted 0.82
s3 These solitons entail a nontrivial electric field which implies that purely magnetohydrodynamical arguments are insufficient for describing stable, nontrivial structures within the bulk of a plasma. interpretation 0.99 0.80 0.43 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Shafranov's virial theorem implies that nontrivial magnetohydrodynamical equilibrium configurations must be supported by externally supplied currents. Here we extend the virial theorem to field theory, where it relates to Derrick's scaling argument on soliton stability. We then employ virial arguments to investigate a realistic field theory model of a two-component plasma, and conclude that stable localized solitons can exist in the bulk of a finite density plasma. These solitons entail a nontrivial electric field which implies that purely magnetohydrodynamical arguments are insufficient for describing stable, nontrivial structures within the bulk of a plasma.

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2 arXiv papers cite this in 2 sentences

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