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 |