Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
30 (1987), S. 3686-3694
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
A simple graphic method of solving the Vlasov–Poisson system associated with nonlinear eigenvalue conditions for arbitrary potential structures is presented. A general analytic formulation for nonmonotonic double layers is presented and illustrated with some particular closed form solutions. This class of double layers satisfies the time stationary Vlasov–Poisson system while requiring a Sagdeev potential, which is a double-valued function of the physical potential. It follows that any distribution function having a density representation as any integer or noninteger power series of potential can never satisfy the nonmonotonic double-layer boundary conditions. A Korteweg–de Vries-like equation is found showing a relationship among the speed of the nonmonotonic double layer, its scale length, and its degree of asymmetry.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.866405
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