Numerical Investigation of a Bifurcation Problem with Free Boundaries Arising from the Physics of Josephson Junctions
نویسندگان
چکیده
A direct method for calculating the minimal length of “one-dimensional” Josephson junctions is proposed, in which the specific distribution of the magnetic flux retains its stability. Since the length of the junctions is a variable quantity, the corresponding nonlinear spectral problem as a problem with free boundaries is interpreted. The obtained results give us warranty to consider as “long”, every Josephson junction in which there exists at least one nontrivial stable distribution of the magnetic flux for fixed values of all other parameters.
منابع مشابه
Josephson Current For a Graphene Nanoribbon Using a Lattice Model
A tight binding approach based on the Bogoliubov-de Gennes approach has been used to calculate the DC Josephson current for a lattice model for S-GNR-S junctions , for short junctions with respect to superconducting coherence length. We calculate the phase, length, width and chemical potential dependence at the Josephson junction and discuss the similarities and differences with regard to the t...
متن کاملTheoretical, numerical, and experimental analyses of free vibrations of glass fiber reinforced polymer plates with central cutouts and free boundaries
This study explored the free vibration problem in relation to glass fiber reinforced polymer (GFRP) plates with central cutouts and free boundaries using theoretical, experimental, and numerical methods. The theoretical formulations were derived from the classical lamination plate theory. The rectangular cutout was mathematically modeled into the stiffness matrix of the plate by multiplying Hea...
متن کاملJosephson vortices with fractional flux quanta at YBa2Cu3O7Àx grain boundaries
We report numerical simulations of magnetic flux patterns in asymmetric 45° @001#-tilt grain boundaries in YBa2Cu3O72x superconducting films. The grain boundaries are treated as Josephson junctions with a critical current density j c(x) alternating rapidly along the junctions with a typical length scale which is much less than Josephson penetration depth. We demonstrate the existence of Josephs...
متن کاملCreated-by-current states in long Josephson junctions
Critical curves ”critical current external magnetic field” of long Josephson junctions with inhomogeneity and variable width are studied. We demonstrate the existence of the regions of magnetic field where some fluxon states are stable only, if the external current through the junction is different from zero. Position and size of such regions depend on length of the junction, its geometry, para...
متن کاملNumerical Investigation of Vortex Interaction in Pipe Flow
To discover the nonlinear characteristics of pipe flow, we simulated the flow as a sum of many vortex rings. As a first step, we investigated the nonlinear interaction among a maximum of three vortex rings. The pipe wall was replaced by many bound vortices. A free vortex ring moves right or left according to the radius, and that of a particular radius keeps the initial position. The energy of a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999