Influence of the boundary conditions on the current flow pattern along a superconducting wire

Abstract

We study the patterns at which the current flow stabilizes in a 1D superconducting wire, for various experimentally reasonable boundary conditions, for small fixed current densities and temperatures close to $T_c$. We pay special attention to the possible existence of a stationary regime. If the contacts are superconducting, truly stationary or normal regimes do not exist, but can be approached as a limit. In the case of weak superconducting contacts, a rich phase diagram is found, with several periodic regimes that involve two phase slip centers. For some of these regimes, the density of Cooper pairs does not have mirror symmetry. If the contacts are normal, the stationary regime is possible.

References in corpus (4)

• Bifurcation diagram and pattern formation in superconducting wires with electric currents
• The resistive state in a superconducting wire: Bifurcation from the normal state
• Onset of superconductivity in a voltage-biased NSN microbridge
• Qualitative modifications and new dynamic phases in the phase diagram of 1D superconducting wires driven with electric currents

Cited by in corpus (2)

• Attempt to describe phase slips by means of an adiabatic approximation
• The stationary SQUID