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The flux noise spectrum and complex impedance for a 500 {\AA} thick YBCO filmare measured and compared with predictions for two dimensional vortexfluctuations. It is verified that the complex impedance and the flux noisespectra are proportional to each other, that the logarithm of the flux noisespectra for different temperatures has a common tangent with slope $\approx-1$, and that the amplitude of the noise decreases as $d^{-3}$, where $d$ isthe height above the film at which the magnetic flux is measured. A crossoverfrom normal to anomalous vortex diffusion is indicated by the measurements andis discussed in terms of a two-dimensional decoupling.Comment: 5 pages including 4 figures in two columns, to appear in Phys. Rev.  Let

physical review letters

Vortex Fluctuations in High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Films: Flux Noise Spectrum and Complex Impedance

Vortex Fluctuations in High-TcFilms: Flux Noise Spectrum and Complex Impedance