dorsal/arxiv
View SchemaInverse ac Josephson Effect for a Fluxon in a Long Modulated Junction
| Authors | Giovanni Filatrella, Boris A. Malomed, Robert D. Parmentier |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9403005 |
| URL | https://arxiv.org/abs/patt-sol/9403005 |
| DOI | 10.1016/0375-9601(94)01014-L |
Abstract
We analyze motion of a fluxon in a weakly damped ac-driven long Josephson junction with a periodically modulated maximum Josephson current density. We demonstrate both analytically and numerically that a pure {\it ac} bias current can drive the fluxon at a {\it resonant} mean velocity determined by the driving frequency and the spatial period of the modulation, provided that the drive amplitude exceeds a certain threshold value. In the range of strongly ``relativistic'' mean velocities, the agreement between results of a numerical solution of the effective (ODE) fluxon equation of motion and analytical results obtained by means of the harmonic-balance analysis is fairly good; morever, a preliminary PDE result tends to confirm the validity of the collective-coordinate (PDE-ODE) reduction. At nonrelativistic mean velocities, the basin of attraction, in position-velocity space, for phase-locked solutions becomes progressively smaller as the mean velocity is decreased.
{
"annotation_id": "7f188426-7492-4e0f-87d5-1fc340dc3b60",
"date_created": "2026-03-02T18:00:28.839000Z",
"date_modified": "2026-03-02T18:00:28.839000Z",
"file_hash": "f7e37ec739e60aacc66a4d14137385be721bd803f4f1ed8c5adb6e9f4857f876",
"private": false,
"record": {
"abstract": "We analyze motion of a fluxon in a weakly damped ac-driven long Josephson\njunction with a periodically modulated maximum Josephson current density. We\ndemonstrate both analytically and numerically that a pure {\\it ac} bias current\ncan drive the fluxon at a {\\it resonant} mean velocity determined by the\ndriving frequency and the spatial period of the modulation, provided that the\ndrive amplitude exceeds a certain threshold value. In the range of strongly\n``relativistic\u0027\u0027 mean velocities, the agreement between results of a numerical\nsolution of the effective (ODE) fluxon equation of motion and analytical\nresults obtained by means of the harmonic-balance analysis is fairly good;\nmorever, a preliminary PDE result tends to confirm the validity of the\ncollective-coordinate (PDE-ODE) reduction. At nonrelativistic mean velocities,\nthe basin of attraction, in position-velocity space, for phase-locked solutions\nbecomes progressively smaller as the mean velocity is decreased.",
"arxiv_id": "patt-sol/9403005",
"authors": [
"Giovanni Filatrella",
"Boris A. Malomed",
"Robert D. Parmentier"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/0375-9601(94)01014-L",
"title": "Inverse ac Josephson Effect for a Fluxon in a Long Modulated Junction",
"url": "https://arxiv.org/abs/patt-sol/9403005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b5790b94-4657-4a6b-972e-1b89d651ef83",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}