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This study, presented at the 20th International Toki Conference in December 2010, delves into multi-volume, partially relaxed Magnetohydrodynamic (MHD) equilibria. Authors Dr. Stuart Hudson, R.L. Dewar, M.J. Hole, and M. McGann explore the pathological Diophantine conditions under ideal force balance and chaotic fields. The findings connect classical results from Kolmogorov, Arnol’d, and Moser with nearly ideal MHD equilibria, advancing our understanding of plasma physics and magnetic confinement.
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Multi-volume, partially-relaxed MHD equilibriaDr. Stuart Hudsonand R.L. Dewar, M.J. Hole and M. McGann20th International Toki Conference, 7-10 December 2010, Toki, Japan
Ideal-force-balance with chaotic field is pathological Diophantine condition Kolmogorov, Arnol’dand Moser