A SEMI-LINEAR ELLIPTIC PDE MODEL FOR THE STATIC SOLUTION OF JOSEPHSON JUNCTIONS

Jean-Guy Caputo, Nikos Flytzanis and Emmanuel Vavalis
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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

International Journal of Modern Physics C (IJMPC), 1995, vol. 06, issue 02, 241-262

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.

Keywords: Josephson Junctions; Numerical Analysis; Partial Differential Equations; Solitons (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1142/S0129183195000198

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