Interactions Between Charged Particles in a Magnetic Field: A Theoretical Approach to Ion Stopping in Magnetized Plasmas

Previous Work, Status and Overview.- Challenges Imposed by the Magnetic Field.- Binary Collision Model (BC), Dielectric Theory (DT).- Classical Trajectory Monte Carlo (CTMC) Simulations.- Particle in Cell (PIC) Simulations.- Binary Collisions.- Lagrangian Formulation.- Force Formulation.- Velocity Transfer in Second-Order Perturbation Theory.- CTMC.- Dielectric Theory.- Vlasov-Poisson, PIC.- Linearized Dynamic Collective Response.- Conformity of DT and BC in the Linear Regime.- Quantum Description.- Applications.- Drag Force on Ions.- Electron Coolers in Storage Rings.- Diffusion Tensor.- Cooling of Antiprotons and Negatively Charged Ions.- Deceleration in Traps.

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

This monograph focusses 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. In the continuum dielectric theory one considers the interactions between the test particle and its polarization cloud. In the presence of a strong magnetic field, there exists no suitable parameter of smallness. Linearized and perturbative treatments are not more valid and must be replaced by numerical grid or particle methods. Applications include the electron cooling of ion beams in storage rings and the final deceleration of antiprotons and heavy ion beams in traps.

First book on this topic Includes supplementary material: sn.pub/extras