Radiophysics / Nersisyan / Toepffer Interactions Between Charged Particles in a Magnetic Field

A Theoretical Approach to Ion Stopping in Magnetized Plasmas
1. Auflage 2007
ISBN: 978-3-540-69854-8
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 187 Seiten

This monograph focuses on the influence of a strong magnetic field on the interactions between charged particles in a many-body system. Two complementary approaches, the binary collision model and the dielectric theory are investigated in both analytical and numerical frameworks. In the binary collision model, the Coulomb interaction between the test and the target particles is screened because of the polarization of the target.

Dr. Hrachya Nersisyan 1986-1987 Junior Scientific Researcher, Laboratory of Radiation Physics, Yerevan Physics Institute, Yerevan, Armenia 1987-1989 Pre-doctoral position, Department of Plasma Theory, P.N. Lebedev Physical Institute, Moscow, Russia 1993 Dr. of Physical and mathematical sciences, P.N. Lebedev Physical Institute, Moscow, Russia 1993-1994 Scientific Researcher, Institute of Radiophysics & Electronics, Ashtarak, Armenia 1997 Guest Researcher, Laboratoire de Physique des Gaz et des Plasmas, Université Paris-XI, Orsay, France 1999 DAAD (German Academic Exchange Service) Fellowship, Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, Erlangen, Germany 2001-2002 Alexander von Humboldt Fellowship, Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, Erlangen, Germany 2004-2005 Guest Researcher, Institut für Theoretische Physik II, Universität Erlangen- Nürnberg, Erlangen, Germany 1994- Senior Scientific Researcher, Institute of Radiophysics & Electronics, Ashtarak, Armenia Prof. Dr. Christian Toepffer 1967 Dr. phil. nat. 1973-1974 Associate Professor, University Frankfurt/Main 1974-1980 Professor of Theoretical Physics, University of Witwatersrand, Johannesburg, South Africa 1980- Professor of Theoretical Physics, University of Erlangen Dr. Günter Zwicknagel 1994 Dr. rer. nat. in Physics at the University of Erlangen 1995-1997 Research scholar at the Laboratoire de Physique des Gaz et des Plasmas, Orsay, France 1997-2000 Research assistant at the Institute of Theoretical Physics II, University of Erlangen 2000- Researcher and lecturer at the University of Erlangen

Autoren/Hrsg.

Radiophysics, Institute

Nersisyan, Hrachya

Toepffer, Christian

Zwicknagel, Günter

Inhaltsverzeichnis

1;Preface;6
2;Contents;8
3;1 Introduction;11
4;2 Previous Work, Status and Overview;14
4.1;2.1 Energy Loss in an Unmagnetized One–Component–Plasma ( OCP);14
4.2;2.2 Challenges Imposed by the Magnetic Field;20
4.3;2.3 Classical-Trajectory-Monte-Carlo (CTMC) Simulations;23
4.4;2.4 Dielectric Treatment (DT), Vlasov–Poisson Equation, Linear Response ( LR);25
4.5;2.5 Particle-In-Cell (PIC) Simulations;31
5;3 Binary Collision Model;34
5.1;3.1 Introductory Remarks;34
5.2;3.2 Equations of Motion;35
5.3;3.3 Energy Loss and Velocity Transfer;37
5.4;3.4 General Interactions, no Magnetic Field;38
5.5;3.5 Binary Collisions (BC) in a Magnetic Field;42
5.6;3.6 Parallel Ion Motion;48
5.7;3.7 Chaotic Scattering and Validity of the Perturbation Treatment;51
5.8;3.8 Binary Collision Model for Arbitrary Ion Motion in a Strong Field;60
5.9;3.9 Binary Collisions in aWeak Field;66
5.10;3.10 Impact Parameter Integration and Velocity Averaging;70
5.11;3.11 Velocity Diffusion (Straggling) of Charged Particles in a Magnetic Field;77
6;4 Dielectric Theory;82
6.1;4.1 Stopping Power (SP) in PlasmasWithout Magnetic field;82
6.2;4.2 Stopping in PlasmasWithWeak Magnetic field;85
6.3;4.3 Stopping in PlasmasWith Strong Magnetic Field;88
6.4;4.4 Stopping in the Low-Velocity Limit at Arbitrary Field Strengths;92
6.5;4.5 High-Velocity SP in a Magnetized Plasma;94
6.6;4.6 Reduced LR (RLR) Treatment;105
6.7;4.7 Conformity Between Reduced LR and BC approaches;115
7;5 Quantum Theory of SP in Magnetized Plasmas;118
7.1;5.1 Dielectric Theory;118
7.2;5.2 Equation of State for Quantum Magnetized Plasmas;124
7.3;5.3 Dielectric Function, Fully Degenerate Plasma;127
7.4;5.4 Dielectric Function, Semiclassical Limit;130
7.5;5.5 Stopping Power in a Magnetized Quantum Plasma;133
7.6;5.6 Binary Collision Treatment, Conformity Between BC and RLR;139
7.7;5.7 Correspondence Between Quantum and Classical BC Treatments;143
7.8;5.8 Averaged Classical Second–Order Energy Transfer;149
8;6 Applications and Illustrating Examples;151
8.1;6.1 Electron Cooling in Storage Rings;151
8.2;6.2 Electron Cooling in Penning Traps;158
9;7 Summary and Conclusion;172
10;A Dielectric Function of the Magnetized Electron-Ion Plasma;175
11;B Anomalous Term;177
12;C Dielectric Function of the Magnetized Quantum Plasma;179
13;D Some Properties of the Function Fnn(.);181
14;References;183
15;List of Symbols and Abbreviations;188