Cj. Vanderbeek et al., LINEAR AND NONLINEAR AC RESPONSE IN THE SUPERCONDUCTING MIXED-STATE, Physical review. B, Condensed matter, 48(5), 1993, pp. 3393-3403
The response of the vortex system in the mixed state of type-II superc
onductors to ac fields is discussed from a unique macroscopic point of
view. Linear and nonlinear response are derived as two opposite limit
s of the same diffusionlike equation for magnetic flux. ac susceptibil
ity experiments carried out in the limit of strong nonlinearity are en
tirely equivalent to magnetic-relaxation or field-ramp experiments. Th
e magnitude and frequency dependence of the nonlinearity threshold, or
amplitude of the ac field where one crosses from essentially linear t
o strongly nonlinear response, are found and discussed for both the vo
rtex-liquid and vortex-glass states.