An abstract KAM theorem is developed for infinitely many weakly interacting particles with decaying masses, enabling construction of full-dimensional invariant tori in infinite-dimensional systems with long-range interactions.
Parabolic orbits in the elliptic restricted three body problem
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Hybrid simulations of tearing reconnection show magnetic energy converts to ion bulk flows and heating in the nonlinear phase, with island contraction driving parallel ion temperature anisotropy that firehose instabilities regulate by redistributing energy to the perpendicular direction.
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Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori
An abstract KAM theorem is developed for infinitely many weakly interacting particles with decaying masses, enabling construction of full-dimensional invariant tori in infinite-dimensional systems with long-range interactions.
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Tearing Driven Reconnection: Energy Conversion Involving Firehose Kinetic Instabilities (2D Hybrid M\"obius Simulations)
Hybrid simulations of tearing reconnection show magnetic energy converts to ion bulk flows and heating in the nonlinear phase, with island contraction driving parallel ion temperature anisotropy that firehose instabilities regulate by redistributing energy to the perpendicular direction.