Exact Solution of selfconsistent Vlasov equation
Morawetz, K.
arXiv, 9703021 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-03-14
Classification:  Physics - Plasma Physics,  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Nuclear Theory,  Physics - Computational Physics 
@article{9703021,
     author = {Morawetz, K.},
     title = {Exact Solution of selfconsistent Vlasov equation},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9703021}
}

Morawetz, K. Exact Solution of selfconsistent Vlasov equation. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9703021/