Abstract

The phase dynamics of the stacked long Josephson junctions is investigated taking into account the inductive and capacitive couplings between junctions and the diffusion current. The simulation of the current–voltage characteristics is based on the numerical solution of a system of nonlinear partial differential equations by a fourth order Runge–Kutta method and finite-difference approximation. A parallel implementation is based on the MPI technique. The effectiveness of the MPI/C++ code is confirmed by calculations on the multi-processor cluster CICC (LIT JINR, Dubna). We demonstrate the appearance of the charge traveling wave (CTW) at the boundary of the zero field step. Based on this fact, we conclude that the CTW and the fluxons coexist.

Highlights

  • The construction of a model that ensures an adequate description of the properties of the stacked long Josephson junctions (SLJJ) in the high temperature superconductors is one of the topical tasks of the modern physics of the superconductivity and, an actual problem is the construction of effective numerical algorithms for the simulation of the phase dynamics of the SLJJ

  • We investigate the phase dynamics of the SLJJ taking into account the inductive and capacitive couplings [12, 13] and the diffusion current [15]

  • We have investigated numerically the phase dynamics of the SLJJ taking into account the inductive and capacitive couplings between junctions and diffusion current

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Summary

Introduction

The construction of a model that ensures an adequate description of the properties of the SLJJ in the high temperature superconductors is one of the topical tasks of the modern physics of the superconductivity and, an actual problem is the construction of effective numerical algorithms for the simulation of the phase dynamics of the SLJJ. Machida and Sakai [13] proposed a generalization of the model to the case of both inductive and capacitive coupling They disregarded the diffusion current [14], the significance of which was emphasized in [15]. We investigate the phase dynamics of the SLJJ taking into account the inductive and capacitive couplings [12, 13] and the diffusion current [15]. The effectiveness of the MPI/C++ code is confirmed by calculations on the multi-processor cluster CICC (LIT JINR, Dubna)

Theoretical model and numerical approach
Results and discussions
Conclusions

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