Theory and Simulation of the Interactionof Ions with Plasmas:Nonlinear stopping, ion-ion correlation effects andcollisions of ions with magnetized electrons.Gu¨nter ZwicknagelAls Habilitationsschrift von denNaturwissenschaftlichen Fakult¨aten derFriedrich-Alexander Universit¨at Erlangen-Nu¨rnbergangenommenErlangen, 17. Mai 2000Contents1 Introduction 32 Stopping of heavy ions by free electron targets 62.1 The projectile-target system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62.1.1 Definitions of energy loss and stopping power . . . . . . . . . . . . . . . 72.1.2 Important parameters and regimes . . . . . . . . . . . . . . . . . . . . . 102.2 Analytical Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.2.1 Linear Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.2.2 Binary Collisions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292.2.3 The combined Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382.3 Numerical Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 402.3.1 Particle simulations of Vlasov–Poisson for classical ideal targets . . . . . 402.3.2 Molecular dynamics simulations. . . . . . . . . . . . . . . . . . . . . . . 432.3.3 Local energy-density functionals: LDA and TDLDA . . . . . . . . . . . 452.4 Overview on the various methods . . . . . . . . . . . . . . . . . . . . . . . . . .
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