dorsal/arxiv
View Schema$\pi$-kinks in strongly ac driven sine-Gordon systems
| Authors | Vadim Zharnitsky, Igor Mitkov, Niels Grønbech-Jensen |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9809011 |
| URL | https://arxiv.org/abs/patt-sol/9809011 |
| DOI | 10.1103/PhysRevE.58.R52 |
| Journal | Physical Review E, V. 58, No. 1, R52-R55, Rapid Communications (1998) |
Abstract
We demonstrate that $\pi$-kinks exist in non-parametrically ac driven sine-Gordon systems if the ac drive is sufficiently fast. It is found that, at a critical value of the drive amplitude, there are two stable and two unstable equilibria in the sine-Gordon phase. The pairwise symmetry of these equilibria implies the existence of a one-parameter family of $\pi$-kink solutions in the reduced system. In the dissipative case of the ac driven sine-Gordon systems, corresponding to Josephson junctions, the velocity is selected by the balance between the perturbations. The results are derived from a perturbation analysis and verified by direct numerical simulations.
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"abstract": "We demonstrate that $\\pi$-kinks exist in non-parametrically ac driven\nsine-Gordon systems if the ac drive is sufficiently fast. It is found that, at\na critical value of the drive amplitude, there are two stable and two unstable\nequilibria in the sine-Gordon phase. The pairwise symmetry of these equilibria\nimplies the existence of a one-parameter family of $\\pi$-kink solutions in the\nreduced system. In the dissipative case of the ac driven sine-Gordon systems,\ncorresponding to Josephson junctions, the velocity is selected by the balance\nbetween the perturbations. The results are derived from a perturbation analysis\nand verified by direct numerical simulations.",
"arxiv_id": "patt-sol/9809011",
"authors": [
"Vadim Zharnitsky",
"Igor Mitkov",
"Niels Gr\u00f8nbech-Jensen"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.58.R52",
"journal_ref": "Physical Review E, V. 58, No. 1, R52-R55, Rapid Communications\n (1998)",
"title": "$\\pi$-kinks in strongly ac driven sine-Gordon systems",
"url": "https://arxiv.org/abs/patt-sol/9809011"
},
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