dorsal/arxiv
View SchemaChaotic Orbits in Thermal-Equilibrium Beams: Existence and Dynamical Implications
| Authors | Courtlandt L. Bohn, Ioannis V. Sideris |
|---|---|
| Categories | |
| ArXiv ID | physics/0306006 |
| URL | https://arxiv.org/abs/physics/0306006 |
| DOI | 10.1103/PhysRevSTAB.6.034203 |
| Journal | Phys.Rev.ST Accel.Beams 6 (2003) 034203 |
Abstract
Phase mixing of chaotic orbits exponentially distributes these orbits through their accessible phase space. This phenomenon, commonly called ``chaotic mixing'', stands in marked contrast to phase mixing of regular orbits which proceeds as a power law in time. It is operationally irreversible; hence, its associated e-folding time scale sets a condition on any process envisioned for emittance compensation. A key question is whether beams can support chaotic orbits, and if so, under what conditions? We numerically investigate the parameter space of three-dimensional thermal-equilibrium beams with space charge, confined by linear external focusing forces, to determine whether the associated potentials support chaotic orbits. We find that a large subset of the parameter space does support chaos and, in turn, chaotic mixing. Details and implications are enumerated.
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"abstract": "Phase mixing of chaotic orbits exponentially distributes these orbits through\ntheir accessible phase space. This phenomenon, commonly called ``chaotic\nmixing\u0027\u0027, stands in marked contrast to phase mixing of regular orbits which\nproceeds as a power law in time. It is operationally irreversible; hence, its\nassociated e-folding time scale sets a condition on any process envisioned for\nemittance compensation. A key question is whether beams can support chaotic\norbits, and if so, under what conditions? We numerically investigate the\nparameter space of three-dimensional thermal-equilibrium beams with space\ncharge, confined by linear external focusing forces, to determine whether the\nassociated potentials support chaotic orbits. We find that a large subset of\nthe parameter space does support chaos and, in turn, chaotic mixing. Details\nand implications are enumerated.",
"arxiv_id": "physics/0306006",
"authors": [
"Courtlandt L. Bohn",
"Ioannis V. Sideris"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1103/PhysRevSTAB.6.034203",
"journal_ref": "Phys.Rev.ST Accel.Beams 6 (2003) 034203",
"title": "Chaotic Orbits in Thermal-Equilibrium Beams: Existence and Dynamical Implications",
"url": "https://arxiv.org/abs/physics/0306006"
},
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