Numerical Investigation of Josephson Junction Structures

Multilayered long Josephson Junction Structures form an interesting physical system where both nonlinearity and interaction between subsystems play an important role. Such systems allow to study physical effects that do not occur in single Josephson junction.The Sakai‐Bodin‐Pedersen model—a system of perturbed sine‐Gordon equations—is used to study the dynamic states of stacks of inductively coupled long Josephson Junctions (LJJs). The corresponding static problem is numerically investigated as well. In order to study the stability of possible static solutions a Sturm‐Liouville problem is generated and solved.The transitions from static to dynamic state and the scenario of these transitions are analyzed depending on the model parameters. Different physical characteristics—current‐voltage characteristics, individual instant voltages and internal magnetic fields, are calculated and interpreted.