Abstract
A theoretical scheme is proposed to study the nonlinear effects of a finite-frequency external driving field on the vortex pairs in helium films on the basis of the Kosterlitz-Thouless theory. The screening effect due to free vortices is considered self-consistently in the Debye-H\uckel approximation. The finite-amplitude phenomena observed in Bishop and Reppy's torsional oscillator experiments [Phys. Rev. B 22, 5171 (1980)] are interpreted in terms of the extra dissipation due to free vortices generated in the external field of finite frequency.
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