Description
This book offers a comprehensive and cohesive overview of transport processes associated with all kinds of charged particles, including electrons, ions, positrons, and muons, in both gases and condensed matter. The emphasis is on fundamental physics, linking experiment, theory and applications. In particular, the authors discuss:
- The kinetic theory of gases, from the traditional Boltzmann equation to modern generalizations
- A complementary approach: Maxwell’s equations of change and fluid modeling
- Calculation of ion-atom scattering cross sections
- Extension to soft condensed matter, amorphous materials
- Applications: drift tube experiments, including the Franck-Hertz experiment, modeling plasma processing devices, muon catalysed fusion, positron emission tomography, gaseous radiation detectors
Straightforward, physically-based arguments are used wherever possible to complement mathematical rigor.
Robert Robson has held professorial positions in Japan, the USA and Australia, and was an Alexander von Humboldt Fellow at several universities in Germany. He is a Fellow of the American Physical Society.
Ronald White is Professor of Physics and Head of Physical Sciences at James Cook University, Australia.
Malte Hildebrandt is Head of the Detector Group in the Laboratory of Particle Physics at the Paul Scherrer Institut, Switzerland.
Table of Contents
Monograph Series in Physical Sciences
Preface
About the Authors
Glossary of Symbols and Acronyms
1 Introduction
I Kinetic Theory Foundations
2 Basic Theoretical Concepts: Phase and Configuration Space
3 Boltzmann Collision Integral, H-Theorem, and Fokker–Planck Equation
4 Interaction Potentials and Cross Sections
5 Kinetic Equations for Dilute Particles in Gases
6 Charged Particles in Condensed Matter
II Fluid Modelling in Configuration Space
7 Fluid Modelling: Foundations and First Applications
8 Fluid Models with Inelastic Collisions
9 Fluid Modelling with Loss and Creation Processes
10 Fluid Modelling in Condensed Matter
III Solutions of Kinetic Equations
11 Strategies and Regimes for Solution of Kinetic Equations
12 Numerical Techniques for Solution of Boltzmann’s Equation
13 Boundary Conditions, Diffusion Cooling, and a Variational Method
14 An Analytically Solvable Model
IV Special Topics
15 Temporal Non-Locality
16 The Franck–Hertz Experiment
17 Positron Transport in Soft-Condensed Matter with Application to PET
18 Transport in Electric and Magnetic Fields and Particle Detectors
19 Muons in Gases and Condensed Matter
20 Concluding Remarks
V Exercises and Appendices 331
Exercises
Appendix A Comparison of Kinetic Theory and Quantum Mechanics
Appendix B Inelastic and Ionization Collision Operators for Light Particles
Appendix C The Dual Eigenvalue Problem
Appendix D Derivation of the Exact Expression for np(k)
Appendix E Physical Constants and Useful Formulas
References
Index
