3 M ay 2 00 9 Knot energy in unstretched ergodic magnetic flux tube dynamo plasma June 24 , 2009
نویسنده
چکیده
Recently Titov et al [ApJ 693,(2009) and ApJ (2007)] have made use of a covariant model to investigate magnetic reconnection of astrophysical plasmas. Earlier R Ricca [Phys Rev A (1991)] has used another covariant formalism, to investigated vortex filaments and solitons. This formalism, called Ricci rotation coefficients (RRC), is applied here, to the Chui and Moffatt [PRSA (1995)] knotted magnetic flux tube (MFT) Riemann metric in the case of vanishing stretch. It is shown that, the vanishing of some components of the (RRC) leads to unstretching knotted tubes. Computing of magnetic knot energy in terms of the RCC, shows that, uniform, unstretching and constant cross-section tubes leads to a marginal dynamo action over magnetic surfaces. Recent investigation on the role of stretching in plasma dynamo action showed that in diffusive media [Phys Plasma 14 (2008)], unstretching unknotted tubes would not support fast dynamo action. This result was generalized here to much more general knotted MFT.Though tokamaks are metalic unstretched
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Stretching magnetic fields by dynamo plasmas in Riemannian knotted tubes
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