We present a phenomenological description of the high-frequency vortex dynamics in YBa 2 Cu 3 O 7 and discuss the main parameters related to vortex motion, namely the viscous drag coefficient η, the pinning constant k p (Labusch parameter) and the depinning frequency ω 0 . We demonstrate experimental results on the angular and temperature dependence of η, k p and ω 0 in YBa 2 Cu 3 O 7 and compare these results with existing models. We show how studies of the vortex viscosity may yield information on the superclean limit. This limit corresponds to the formation of the discrete excitation spectrum in the vortex core due to quantum confinement and small coherence length. From the low-temperature viscosity data we conclude that the superclean limit in YBa 2 Cu 3 O 7 is reached for magnetic field perpendicular to the c-axis.
To quantify the mechanism of a complex network growth we focus on the network of citations of scientific papers and use a combination of the theoretical and experimental tools to uncover microscopic details of this network growth. Namely, we develop a stochastic model of citation dynamics based on copying/redirection/triadic closure mechanism. In a complementary and coherent way, the model accounts both for statistics of references of scientific papers and for their citation dynamics. Originating in empirical measurements, the model is cast in such a way that it can be verified quantitatively in every aspect. Such verification is performed by measuring citation dynamics of Physics papers. The measurements revealed nonlinear citation dynamics, the nonlinearity being intricately related to network topology. The nonlinearity has far-reaching consequences including non-stationary citation distributions, diverging citation trajectory of similar papers, runaways or "immortal papers" with infinite citation lifetime etc. Thus, our most important finding is nonlinearity in complex network growth. In a more specific context, our results can be a basis for quantitative probabilistic prediction of citation dynamics of individual papers and of the journal impact factor.
We have used the parallel-plate resonator technique to study the microwave surface resistance R, and the penetration depth A, of YBazCu307 " thin epitaxial films at 5.5 GHz in the presence of magnetic field H &0.8 T and at 30 K & T & 80 K. The magnetic-field dependence of R, and A, allows determination of the vortex viscosity g, pinning constant a, and depinning frequency coo for dil'erent field orientations. To the best of our knowledge, this is among the first measurements of the angular dependence of g, a, and uo. We find that the angular dependences of g, a, and coo are fairly well described by the scaling model of Blatter, Geshkenbein, and Larkin. We demonstrate that {i)the temperature dependence of g is well described by the Bardeen-Stephen model with reduced normal-state resistivity, (ii} the pinning constant is close to its upper limit at lowest temperatures and decreases exponentially with increasing temperature, and (iii) the depinning frequency is of the order of 10 GHz, almost orientation independent and weakly depends on temperature. We analyze the values of the depinning frequency for difFerent type-II superconductors and demonstrate that it is directly related to the quasiparticle scattering rate.
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