Abstract
The motion of a single vortex line in superfluid4He nearTλ is studied within modelF. The linear response of the vortex-line velocityvL to a homogeneous counterflowvs−vn is calculated up to lowest order of renormalized perturbation theory. The critical temperature dependence is taken into account via the renormalizationgroup theory. Non-asymptotic critical effects are found to be important. The results are generalized to describe collective vortex motion and mutual friction in rotating superfluid4He. The phenomenological mutual-friction coefficientsB andB′ of Hall and Vinen are determined without adjustment of parameters. ForB quantitative agreement with experiments nearTλ is found whereas forB′ the agreement is only semiquantiative.
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