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A Semi-Linear Elliptic Pde Model For The Static Solution Of Josephson Junctions

Author

Listed:
  • JEAN-GUY CAPUTO

    (Laboratoire de Mathématiques, Institut de Sciences Appliquees and U.R.A. C.N.R.S. 1378, BP8, 76131 Mont-Saint-Aignan Cedex, France)

  • NIKOS FLYTZANIS

    (Physics Department, University of Crete, 714 09 Heraklion, Greece)

  • EMMANUEL VAVALIS

    (Mathematics Department, University of Crete, 714 09 Heraklion, Greece)

Abstract

In this study we derive a semi-linear Elliptic Partial Differential Equation (PDE) problem that models the static (zero voltage) behavior of a Josephson window junction. Iterative methods for solving this problem are proposed and their computer implementation is discussed. The preliminary computational results that are given, show the modeling power of our approach and exhibit its computational efficiency.

Suggested Citation

  • Jean-Guy Caputo & Nikos Flytzanis & Emmanuel Vavalis, 1995. "A Semi-Linear Elliptic Pde Model For The Static Solution Of Josephson Junctions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 241-262.
    • Handle: RePEc:wsi:ijmpcx:v:06:y:1995:i:02:n:s0129183195000198
    DOI: 10.1142/S0129183195000198
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    Cited by:

    1. Ali, Imtiaz & Rasheed, Amer & Anwar, Muhammad Shoaib & Irfan, Muhammad & Hussain, Zakir, 2021. "Fractional calculus approach for the phase dynamics of Josephson junction," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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