To the Phenomenological theory of Avalanche-Like Effect in Dc-Biased Microwave Nonlinear HTS Transmission Line

  • S. I. Melnyk O.Ya. Usikov Institute for Radiophysics and Electronics, Nat. Acad. of Sci. of Ukraine
  • S. S. Melnyk O.Ya. Usikov Institute for Radiophysics and Electronics, Nat. Acad. of Sci. of Ukraine
  • A. A. Lavrinovich O.Ya. Usikov Institute for Radiophysics and Electronics, Nat. Acad. of Sci. of Ukraine
  • M. T. Cherpak O.Ya. Usikov Institute for Radiophysics and Electronics, Nat. Acad. of Sci. of Ukraine
Keywords: high-temperature superconductor, nonlinear phenomena, HTSC-based transmission line, direct current, avalanche-like transition, phenomenological model, theory of catastrophes

Abstract

A phenomenological model has been proposed to describe the avalanche-like transition of a microwave nonlinear HTSC-based transmission line into a dissipative state. This effect was observed by the authors in a dc-biased transmission line. The proposed model generalizes the well-known phenomenological model for the nonlinear HTSC-based transmission line under the action of a direct current. The character of the dependences obtained for microwave losses allows the jump-like changes in the properties of the nonlinear HTSC-based transmission line to be regarded as a fold-type catastrophe and the methodological and mathematical apparatus of the theory of catastrophes to be used in order to explain the results obtained and predict new ones.

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Published
2019-11-01
How to Cite
Melnyk, S., Melnyk, S., Lavrinovich, A., & Cherpak, M. (2019). To the Phenomenological theory of Avalanche-Like Effect in Dc-Biased Microwave Nonlinear HTS Transmission Line. Ukrainian Journal of Physics, 64(10), 962. https://doi.org/10.15407/ujpe64.10.962
Section
Physics of magnetic phenomena and physics of ferroics