dorsal/arxiv
View SchemaExact Solution of selfconsistent Vlasov equation
| Authors | K. Morawetz |
|---|---|
| Categories | |
| ArXiv ID | physics/9703021 |
| URL | https://arxiv.org/abs/physics/9703021 |
| DOI | 10.1103/PhysRevC.55.R1015 |
| Journal | Phys. Rev. C, 55 pages=1015-1017 year=1997 |
Abstract
An analytical solution of the selfconsistent Vlasov equation is presented. The time evolution is entirely determined by the initial distribution function. The largest Lyapunov exponent is calculated analytically. For special parameters of the model potential positive Lyapunov exponent is possible. This model may serve as a check for numerical codes solving selfconsistent Vlasov equations. The here presented method is also applicable for any system with analytical solution of the Hamilton equation for the formfactor of the potential.
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"abstract": "An analytical solution of the selfconsistent Vlasov equation is presented.\nThe time evolution is entirely determined by the initial distribution function.\nThe largest Lyapunov exponent is calculated analytically. For special\nparameters of the model potential positive Lyapunov exponent is possible. This\nmodel may serve as a check for numerical codes solving selfconsistent Vlasov\nequations. The here presented method is also applicable for any system with\nanalytical solution of the Hamilton equation for the formfactor of the\npotential.",
"arxiv_id": "physics/9703021",
"authors": [
"K. Morawetz"
],
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"physics.plasm-ph",
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"math.MP",
"nlin.SI",
"nucl-th",
"physics.comp-ph",
"solv-int"
],
"doi": "10.1103/PhysRevC.55.R1015",
"journal_ref": "Phys. Rev. C, 55 pages=1015-1017 year=1997",
"title": "Exact Solution of selfconsistent Vlasov equation",
"url": "https://arxiv.org/abs/physics/9703021"
},
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