Nonlocal fluxon dynamics in long Josephson junctions with Newtonian dissipative loss

• Published in: Journal of physics. Condensed matter 2004-07, Vol.16 (27), p.S2715-2733
• Main Authors: Rauh, H, Genenko, Y A, Rieck, C T
• Format: Article
• Language: English
• Subjects: Condensed matter: electronic structure, electrical, magnetic, and optical properties; Exact sciences and technology; Physics; Properties of type I and type II superconductors; Proximity effects, weak links, tunneling phenomena, and josephson effects, adreev effect, sn and sns junctions; Superconductivity; Vortex lattices ,flux pinning, flux creep
• ISSN: 0953-8984; 1361-648X
• DOI: 10.1088/0953-8984/16/27/009

A model of a long Josephson junction described by a nonlocal governing fluxon equation, assuming Newtonian dissipation, is presented and studied analytically as well as numerically. From a ballistic trial solution for a steadily moving 2*p phase difference kink based on an exact limiting form, observables such as the lower critical field for the appearance of Josephson vortices, the vortex magnetic field, the microscopic voltage across the tunnel layer, and the macroscopic voltage across the junction itself are derived and assessed for nonlocal effects. The current-voltage characteristic of the junction due to a regular array of Josephson vortices moving uniformly along it predominantly exhibits monostability when nonlocality is weak and dissipation high; however, a transition to bistability and associated formation of filaments of different current densities can occur when nonlocality is strong and dissipation low.