Fractional calculus approach for the phase dynamics of Josephson junction

Imtiaz Ali, Amer Rasheed, Muhammad Shoaib Anwar, Muhammad Irfan and Zakir Hussain

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: This article presents the phase dynamics of an inline long Josephson junction in voltage state under the influence of constant external magnetic field. Fractional calculus approach is used to model the evolution of the phase difference between the macroscopic wave functions of the two superconductors across the junction. The governing non-linear partial differential equation is then solved using finite difference-finite element schemes. Other quantities of interest like Josephson current density and voltage across the junction are also computed. The effects of various parameters in the model on phase difference,Josephson current density and voltage are analyzed graphically with the help of numerical simulations.

Keywords: Inline long Josephson junction; Voltage state; Fractional nonlinear PDEs; Finite element method, (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309632

DOI: 10.1016/j.chaos.2020.110572

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