Exact solution of the self-consistent Vlasov equation

Journal Article · Sat Mar 01 00:00:00 EST 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.55.R1015· OSTI ID:515983

Morawetz, K ^[1]

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1. MPG-AG Theoretical Many-Body Physics, Universitaet Rostock, D-18055 Rostock (Germany)

An analytical solution of the self-consistent 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 potential a positive Lyapunov exponent is possible. This model may serve as a check for numerical codes solving self-consistent Vlasov equations. The here presented method is also applicable for any system with an analytical solution of the Hamilton equation for the form factor of the potential. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 515983
• Journal Information: Physical Review, C, Vol. 55, Issue 3; Other Information: PBD: Mar 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOLTZMANN-VLASOV EQUATION
ANALYTICAL SOLUTION
MANY-BODY PROBLEM
NUCLEAR FRAGMENTATION
SELF-CONSISTENT FIELD
DISTRIBUTION FUNCTIONS
FORM FACTORS
STATISTICAL MODELS
NUCLEAR STRUCTURE
TIME DEPENDENCE