Numerical Study of Josephson Nanostructures Using Parallel Computing

We investigate the phase dynamics of the stack of long JJs, the length of which exceeds the Josephson penetration depth λJ , taking into account the inductive and capacitive couplings between junctions and diffusion current. Numerical simulation of current-voltage characteristics of the stack is based on numerical solution of a system of nonlinear partial differential equations by the fourth order Runge-Kutta method and finite-difference approximation. The calculations are performed using the MPI technique for parallel implementation. The methodical calculations on multi-processor cluster (LIT JINR) with a different number of parallel MPI-processes are carried out. We have shown that the developed parallel algorithm provides about 7 time acceleration in comparison with serial simulation.