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Escape dynamics in a double periodic potential

Giacomo Rotoli
Vol. 11 (2023), No. 4, 481–495
DOI: 10.2140/memocs.2023.11.481
Abstract

We analyze, theoretically and by numerical simulations of the associated Langevin equation, the dynamics of thermal escape from a generalized washboard potential with a second harmonic term. This theory applies to novel superconducting devices, as the high-temperature superconductor devices or the superconducting-ferromagnetic-superconducting junctions, which appears to present a not negligible second harmonic term in the current-phase relation. The results show that the escape dynamics depends on the ratio between the amplitude of harmonics and the quality factor of the devices. Moreover, an interesting dependance is found in the sign of the second harmonic term: in some cases a positive term can be discriminated from a negative term by the temperature behavior of the escape current distributions.

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Keywords
Josephson junctions, superconducting devices
Physics and Astronomy Classification Scheme 2010
Primary: 05.45.-a, 74.50.+r
Mathematical Subject Classification
Primary: 34C28, 65C30, 70K40
Milestones
Received: 13 January 2023
Revised: 20 March 2023
Accepted: 12 April 2023
Published: 1 December 2023

Communicated by Francesco dell'Isola
Authors
Giacomo Rotoli
Dipartimento di Ingegneria
Università della Campania Vanvitelli
Aversa
Italy
© 2023 MSP (Mathematical Sciences Publishers).