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We report on a systematic investigation of the critical fluctuations in thecomplex conductivity of epitaxially-grownBi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ films for ${T \lesssim T_c}$ using atwo-coil inductive technique at zero applied field. We observe the static 3D-XYcritical exponent in the superfluid density near $T_{c}$. Linear scalinganalysis close to the critical temperature yields a dynamic critical exponentof $z = 2.0$ for small drive currents, but non-linear effects are seen to beimportant. At $T_{c}$, a non-linear scaling analysis also yields a 3D dynamicexponent of $z = 2.0$.Comment: 4 pages, 3 figure

physical review. b, condensed matter

Critical dynamics of superconducting<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Bi</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Sr</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CaCu</mml:mi></mml:mrow><mml:mrow><mml:mn>2</…

Critical dynamics of superconductingBi2Sr2CaCu2