Contents

• List of Figures
• Introduction
  • Continuity Relations
  • Constitutive Relations
  • Burnett Coefficients
  • Boltzmann Equation
  • Chapman-Enskog Solution
  • Nonhydrodynamic Behaviour
• The Linear Boltzmann Equation
  • Time Dependent Transport Coefficients
  • Projection Operator
  • Formal Solution of the Boltzmann Equation
  • The nature of the Spectrum and the Runaway Phenomenon
  • Klein-Kramers Model
• End Effects in Time of Flight Experiments
  • Time of Flight Experiments
  • Lithium ion - Helium Experiment
  • Nonhydrodynamic Contributions to End-Effects in Time-of-Flight Swarm Experiments
  • Model Calculation
  • Peak Arrival Time
  • Pressure Dependencies of Non-hydrodynamic and Higher Order Diffusion Effects
  • Separation of the Different End Effects.
  • Boundaries and Field Inhomogeneities
• Non-hydrodynamic effects in Parallel Plane Steady State Townsend Experiments
  • Steady State Townsend Experiments
  • Conventional Theories
  • Numerical Studies of the Klein-Kramers model
  • Asymptotic behaviour for large times and distances
  • Discussion
• Nonequilibrium Molecular Dynamics Simulation
  • Thermostatted Equations of Motion
  • Formal Solution of Liouville's Equation
  • Nonlinear Response Theory
  • Models of Nonequilibrium Steady States
    • Planar Couette Flow
    • Colour Current
• Nonlinear Burnett Coefficients
  • Equations of Motion
  • Relation between canonical and ensemble
  • Equilibrium Simulation
  • Numerical Evaluation of Burnett Coefficients
• Conclusion
• Perturbation of the eigenfunctions for small k
  • Recursion relations in Component Form
  • Consistency with Biorthonormality
  • Invariance of
• Isotropic Tensors
• System Size Dependence of a Product of Intensive Phase Variables
• Nonlinear Burnett Coefficients Calculation
  • Design Considerations
  • Parameters
  • Equations of Motion
  • The Integrator
  • Periodic Boundary Conditions
  • Forces
  • Miscellany
  • Analysis of Data
  • Putting it all Together
• References
• Mathematical Notation
  • Conventions
    • Vectors and Tensors
    • Differentiation and Integration
    • Other Conventions
  • List of Symbols
• Index
• About this document ...