Maximum velocity of a fluxon in a stack of coupled Josephson junctions

Details Maximum velocity of a fluxon in a stack of coupled Josephson junctions Maximum velocity of a fluxon in a stack of coupled Josephson junctions

1999-11-11

arxiv.org/abs/cond-mat/9911172v1

Phys. Lett. A 266, 67 (2000)

Physics

Condensed Matter

Superconductivity

8 pages, 5 figures, 1 table. submitted to Phys. Lett. A. Suggestions and criticism are welcome

Scientific paper

10.1016/S0375-9601(99)00883-X

Dynamics of a fluxon in a stack of inductively coupled long Josephson junctions is studied analytically and numerically. We demonstrate that the fluxon has a maximum velocity, which does not necessarily coincide with any of the characteristic Josephson plasma wave velocities. The maximum fluxon velocity is found by means of numerical simulations of the quasi-infinite system. Using the variational approximation, we propose a simple analytical formula for the dependence of the fluxon's maximum velocity on the coupling constant and on the distribution of critical currents in different layers. This analysis yields rather precise results in the limit of small dissipation. The simulations also show that nonzero dissipation additionally stabilizes the fluxon.

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