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Physics of Plasmas

Volumn 14, Issue 10, 2007, Pages

Instability of current sheets and formation of plasmoid chains

(4) Loureiro, N F a,b Schekochihin, A A c,d College, King's c,e Cowley, S C c,e

a UNIVERSITY OF MARYLAND (United States)

b PRINCETON PLASMA PHYSICS LABORATORY (United States)

c IMPERIAL COLLEGE LONDON (United Kingdom)

d KING'S COLLEGE (United Kingdom)

e UNIVERSITY OF CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CURRENTS; GROWTH RATE; PERTURBATION TECHNIQUES; PLASMONS; WAVE EFFECTS;

CURRENT SHEETS; PLASMOID CHAINS; WAVENUMBER;

HIGH ENERGY PHYSICS;

EID: 36049011695 PISSN: 1070664X EISSN: None Source Type: Journal
DOI: 10.1063/1.2783986 Document Type: Article

Times cited : (728)

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31
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- Going to the next order in our outer solution results in an additional subdominant contribution to Δ′ comparable to the second term in Eq, 15, Note that while the contribution of the second term in Eq, 13 to Δ′ is negligible, the term, itself cannot be dropped because it ensures that the solution has a finite value at Ξ=0. Note also that there exists an unstable solution that is entirely confined inside the current sheet, so that Ψ(±Ξ0, 0. For this solution, C 1±=0 in Eq, 11) and to the lowest order in κ2ε2, Δ′ is given just by the second term in Eq, 15, Solving Eq, 10) to the next order in κ2ε2, we find Δ′(κ)≈ 0.57-1.47κ2ε2. The growth rate then is obtained from. Eq, 18) in the limit Λ≪1. The result is γ/ Γ0 ≈0.61κ2/5
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