The particle lifetime scaling for field-reversed configurations is derived in the limit where classical resistivity is negligible and anomalous resistivity is dominant. This scaling is shown to have the form τN∝S4(1+C/S)3, where S is the ratio of the major radius to ion Larmor radius. The term in parentheses represents a contribution from open field line confinement which is very significant for present small-S field-reversed configurations since C has a typical value of 50. The open field line confinement only loses importance for reactor-sized plasmas with major radii approaching 1 m.
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Hoffman et al. (1983) studied this question.
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