Collective vibrations and rotations of atomic nuclei are investigated from the classical viewpoint within the geometric collective model. It is shown that the model, even in its truncated form, exhibits a very sophisticated interplay of regular and chaotic modes of motions. We quantify the proportion of regular and chaotic orbits in the phase space and analyze its sensitive dependence on the model control parameters, energy, and angular momentum. A quasi-regular region is observed at low excitation energies in a bounded domain of the control parameter on the deformed side of the shape phase diagram, and another one at higher energies around the transition between spherical and deformed shapes. We also demonstrate a tendency for overall suppression or enhancement of chaos with angular momentum, depending on the values of control parameters.
The complex processes in edge tokamak plasma are affected (among others) both by resonant magnetic perturbation (RMP) and by plasma turbulence. RMP is nowadays considered to be a candidate for the mitigation of the edge-localized modes (ELMs). The effect of plasma turbulence inthe edge region has not been studied yet. Since both RMP and plasma turbulence should influence plasma dynamics, studies of their simultaneous effect have potential practical implications. Using a simplified model of the turbulence and single-particle simulations, we discovered that its effect at realistic amplitudes changes the ion dynamics significantly. We expect that the turbulence has a similar effect on electrons, thus potentially influencing the ELM mitigation mechanism.
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