dorsal/arxiv
View SchemaCoherent instabilities of intense high-energy "white" charged-particle beams in the presence of nonlocal effects within the context of the Madelung fluid description
| Authors | R. Fedele, D. Anderson, M. Lisak |
|---|---|
| Categories | |
| ArXiv ID | physics/0509175 |
| URL | https://arxiv.org/abs/physics/0509175 |
| DOI | 10.1140/epjb/e2006-00067-3 |
Abstract
A hydrodynamical description of coherent instabilities that take place in the longitudinal dynamics of a charged-particle coasting beam in a high-energy accelerating machine is presented. This is done in the framework of the Madelung fluid picture provided by the Thermal Wave Model. The well known coherent instability charts in the complex plane of the longitudinal coupling impedance for monochromatic beams are recovered. The results are also interpreted in terms of the deterministic approach to modulational instability analysis usually given for monochromatic large amplitude wave train propagation governed by the nonlinear Schr\"odinger equation. The instability analysis is then extended to a non-monochromatic coasting beam with a given thermal equilibrium distribution, thought as a statistical ensemble of monochromatic incoherent coasting beams ("white" beam). In this hydrodynamical framework, the phenomenon of Landau damping is predicted without using any kinetic equation governing the phase space evolution of the system.
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"abstract": "A hydrodynamical description of coherent instabilities that take place in the\nlongitudinal dynamics of a charged-particle coasting beam in a high-energy\naccelerating machine is presented. This is done in the framework of the\nMadelung fluid picture provided by the Thermal Wave Model. The well known\ncoherent instability charts in the complex plane of the longitudinal coupling\nimpedance for monochromatic beams are recovered. The results are also\ninterpreted in terms of the deterministic approach to modulational instability\nanalysis usually given for monochromatic large amplitude wave train propagation\ngoverned by the nonlinear Schr\\\"odinger equation. The instability analysis is\nthen extended to a non-monochromatic coasting beam with a given thermal\nequilibrium distribution, thought as a statistical ensemble of monochromatic\nincoherent coasting beams (\"white\" beam). In this hydrodynamical framework, the\nphenomenon of Landau damping is predicted without using any kinetic equation\ngoverning the phase space evolution of the system.",
"arxiv_id": "physics/0509175",
"authors": [
"R. Fedele",
"D. Anderson",
"M. Lisak"
],
"categories": [
"physics.acc-ph",
"physics.plasm-ph"
],
"doi": "10.1140/epjb/e2006-00067-3",
"title": "Coherent instabilities of intense high-energy \"white\" charged-particle beams in the presence of nonlocal effects within the context of the Madelung fluid description",
"url": "https://arxiv.org/abs/physics/0509175"
},
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