Gyroaverage effects on nontwist Hamiltonians: separatrix reconnection and chaos suppression

Journal Article · Sun Jan 01 04:00:00 EST 2012 · Communications in Nonlinear Science and Numerical Simulations

DOI:https://doi.org/10.1016/j.cnsns.2011.07.020· OSTI ID:1081735

Del-Castillo-Negrete, Diego B ^[1]; Martinell, J. ^[2]

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1. ORNL
2. Universidad Autonoma de Mexico

A study of nite Larmor radius (FLR) eects on E B test particle chaotic transport in non- monotonic zonal ows with drift waves in magnetized plasmas is presented. Due to the non- monotonicity of the zonal ow, the Hamiltonian does not satisfy the twist condition. The electro- static potential is modeled as a linear superposition of a zonal ow and regular neutral modes of the Hasegawa-Mima equation. FLR eects are incorporated by gyro-averaging the EB Hamiltonian. It is shown that there is a critical value the Larmor radius for which the zonal ow transitions from a prole with one maximum to a prole with two maxima and a minimum. This bifurcation leads to the creation of additional shearless curves and resonances. The gyroaveraged nontwist Hamiltonian exhibits complex patterns of separatrix reconnection. A change in the Larmor ra- dius can lead to heteroclinic-homoclinic bifurcations and dipole formation. For Larmor radii for which the zonal ow has bifurcated, double heteroclinic-heteroclinic, homoclinic-homoclinic and heteroclinic-homoclinic topologies are observed. It is also shown that chaotic transport is typically reduced as the Larmor radius increases. Poincare sections shows that, for large enough Larmor radius, chaos can be practically suppressed. In particular, small changes on the Larmor radius can restore the shearless curve.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1081735
• Journal Information: Communications in Nonlinear Science and Numerical Simulations, Journal Name: Communications in Nonlinear Science and Numerical Simulations Journal Issue: 5 Vol. 17; ISSN 1007-5704
• Country of Publication: United States
• Language: English