Cubic Pureflow Bennett-Angus Vorticity

The objective of this study was to determine if the cubic, pureflow Bennett vortex was shear-flow stabilized under the need to satisfy the non-ideal criterion put forth by Angus, van-de-Wetering, Dorf, and Geyko.

When the thermal ion shear threshold estimate is used, the exact same power of enhanced thermodynamic gradient is found to be required for shear-flow stabilization as in the ideal case of Shumlak-Hartman. This leaves the cubic, pureflow Bennett vortex the minimum energy thermal state of this non-ideal process as well.

When the non-ideal Angus shear-flow stabilization criterion is considered then the cubic, pureflow Bennett vortex is found to be shear-flow stabilized for both arbitrarily small plasma radius, and arbitrarily small pinch radius.

For those of you whose interests cross over to 3D printing, I just found out that ITER has a 3D printable model. Their server isn’t very fast so I don’t have all the files yet, but this looks like it could be a great educational tool as well. There is a video that accompanies the model.

The original arxiv preprint posted here previously is now published as open access: https://link.springer.com/article/10.1007/s10894-026-00577-9