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On clean grain-boundaries involving growth of nonequilibrium crystalline-amorphous superconducting materials addressed by a phenomenological viewpoint

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Abstract

This study deals with a problem of clean grain-boundary geometric quasi universal feature, and its representative value characteristic of superconducting cuprate polycrystals. The emergence of the superconducting phase goes via a thermally activated and massive, as well as spherulites’ coarsening assisted, nucleation-growth phase transformation. It has been shown by exploiting mainly the space dimension as the principal degree of freedom in transformations of the type that random close packing and self-avoiding walk conceptions, when applied together, corroborate a characteristic value of the fractal grain-boundary dimension, D f = 7/3 ≅ 2.3(3). This value is of practical importance, as provided by computer simulation based on modified Eden-cluster algorithm, and co-supported within a certain accuracy by an accompanying laboratory experiment. A working assumption of the sensitivity of the phase transformation to characteristic time scales has been exploited to accomplish the final goal.

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Authors and Affiliations

  1. Institute of Mathematics and Physics, University of Technology and Life Sciences, 85796, Bydgoszcz, Poland

    A. Gadomski & N. Kruszewska

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  1. A. Gadomski
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  2. N. Kruszewska
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Correspondence to N. Kruszewska.

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Gadomski, A., Kruszewska, N. On clean grain-boundaries involving growth of nonequilibrium crystalline-amorphous superconducting materials addressed by a phenomenological viewpoint. Eur. Phys. J. B 85, 416 (2012). https://doi.org/10.1140/epjb/e2012-30897-y

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