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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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2≈0.08.
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