Regensburg 2004 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 14: Solitons and Stochastic Dynamics
DY 14.9: Vortrag
Montag, 8. März 2004, 16:30–16:45, H2
Consequences of coarse grained Vlasov equations — •K. Morawetz1,2 and R. Walke3 — 1Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — 3Max-Planck-Institute for demographic research, Rostock, Germany
The Vlasov equation is analyzed for coarse grained distributions resembling a finite width of test-particles as used in numerical implementations. It is shown that this coarse grained distribution obeys a kinetic equation similar to the Vlasov equation, but with additional terms. These terms give rise to entropy production indicating dissipative features due to a nonlinear mode coupling The interchange of coarse graining and dynamical evolution is discussed with the help of an exactly solvable model for the selfconsistent Vlasov equation and practical consequences are worked out. The condition for approaching a stationary solution is derived. Observable consequences of this coarse graining are: (i) spatial correlations in observables, (ii) too large radii of clusters or nuclei in self-consistent Thomas-Fermi treatments, (iii) a structure term in the response function resembling vertex correction correlations or internal structure effects and (iv) a modified centroid energy and higher damping width of collective modes.
[1] K. Morawetz, R. Walke, Physica A 330/3-4 (2003) 475–501