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Collisional transport in a paramagnetic pinch with non-circular cross-section

Collisional transport, both classical and that due to trapped particles in a paramagnetic straight pinch with non-circular cross-section is studied analytically. This may be of relevance for future high-current pinch experiments, where the anomalous transport due to fluctuations is expected to decrease. The results show that if the non-circularity is due to an imposed magnetic multipole field, classical confinement times are optimal for a triangular cross-section, although the effect of non-circularity is rather small. Other shaping methods may, however, result in larger changes. It is also shown that under certain conditions trapped particle diffusion may well be an order of magnitude larger than classical diffusion particularly for elliptical and triangular cross-sections.