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| Main Author: | |
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| Format: | Preprint |
| Published: |
1997
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/physics/9703021 |
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| _version_ | 1866913455418638336 |
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| author | Morawetz, K. |
| author_facet | Morawetz, K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_physics_9703021 |
| institution | arXiv |
| publishDate | 1997 |
| record_format | arxiv |
| spellingShingle | Exact Solution of selfconsistent Vlasov equation Morawetz, K. Plasma Physics Statistical Mechanics Mathematical Physics Exactly Solvable and Integrable Systems Nuclear Theory Computational Physics 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. |
| title | Exact Solution of selfconsistent Vlasov equation |
| topic | Plasma Physics Statistical Mechanics Mathematical Physics Exactly Solvable and Integrable Systems Nuclear Theory Computational Physics |
| url | https://arxiv.org/abs/physics/9703021 |