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Stability domains for static solutions in symmetric 0-\(\pi\) Josephson junction. (English) Zbl 1399.81016

Summary: We calculate numerically the stability boundaries of various types of static solutions for symmetric 0-\(\pi\) long Josephson junction. Then the dependence of the critical current \(\gamma_c\) versus applied magnetic field \(h_e\) can be reconstructed. We investigate the \(\gamma_c\) (\(h_e\)) as a function of the junction length and find some new features related to the asymmetric solutions. Our results allow to associate different branches on experimentally measured \(\gamma_c\) (\(h_e\)) with a particular type of solution. The dependence of the critical current \(\gamma_{c0}\) at \(h_e = 0\) as a function of the Josephson junction’s length is numerically obtained. The numerical results agree with known experimental data.

MSC:

81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
82D55 Statistical mechanics of superconductors
82D40 Statistical mechanics of magnetic materials
74F15 Electromagnetic effects in solid mechanics
70K50 Bifurcations and instability for nonlinear problems in mechanics
34K10 Boundary value problems for functional-differential equations