dorsal/arxiv
View SchemaResonances of dynamical checkerboard states in Josephson arrays with self-inductance
| Authors | M. Barahona, E. Trias, T. P. Orlando, A. E. Duwel, H. S. J. van der Zant, S. Watanabe, S. H. Strogatz |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9703008 |
| URL | https://arxiv.org/abs/patt-sol/9703008 |
| DOI | 10.1103/PhysRevB.55.R11989 |
Abstract
We study the dynamics of fully frustrated, underdamped Josephson arrays. Experiments reveal remarkable similarities among the dc current-voltage characteristics of several kinds of square and triangular arrays, where two resonant voltages are observed. Simulations indicate that a dynamical checkerboard solution underlies these similarities. By assuming such a solution, we reduce the governing equations to three coupled pendulum equations, and thereby calculate the voltages of the intrinsic resonances analytically.
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"date_created": "2026-03-02T18:00:29.158000Z",
"date_modified": "2026-03-02T18:00:29.158000Z",
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"abstract": "We study the dynamics of fully frustrated, underdamped Josephson arrays.\nExperiments reveal remarkable similarities among the dc current-voltage\ncharacteristics of several kinds of square and triangular arrays, where two\nresonant voltages are observed. Simulations indicate that a dynamical\ncheckerboard solution underlies these similarities. By assuming such a\nsolution, we reduce the governing equations to three coupled pendulum\nequations, and thereby calculate the voltages of the intrinsic resonances\nanalytically.",
"arxiv_id": "patt-sol/9703008",
"authors": [
"M. Barahona",
"E. Trias",
"T. P. Orlando",
"A. E. Duwel",
"H. S. J. van der Zant",
"S. Watanabe",
"S. H. Strogatz"
],
"categories": [
"patt-sol",
"cond-mat.supr-con",
"nlin.PS"
],
"doi": "10.1103/PhysRevB.55.R11989",
"title": "Resonances of dynamical checkerboard states in Josephson arrays with self-inductance",
"url": "https://arxiv.org/abs/patt-sol/9703008"
},
"schema_id": "dorsal/arxiv",
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