CASA Seminar
Sponsored by the Accelerator Division

Asymptotic Analysis of
Ultra-Relativistic Charge

Robin Tucker,
Lancaster University

A new approach for analyzing the dynamic behavior of
distributions of charged particles in an electromagnetic field
will be presented.After
discussing the limitations inherent in the Lorentz-Dirac
equation for a single point particle a simple model is proposed
for a charged continuum interacting self-consistently with the
Maxwell field in vacuo.
The model is developed using intrinsic tensor field theory and
exploits to the full symmetry and light-cone structure of
Minkowski spacetime.This
permits the construction of a regular stress-energy tensor whose
vanishing divergence determines a system of non-linear partial
differential equations for the velocity and self-fields of
accelerated charge.
Within this covariant framework a particular perturbation scheme
is motivated by an exact class of solutions to this system
describing the evolution of a charged fluid under the combined
effects of both self and external electromagnetic fields.The scheme yields an asymptotic approximation in terms of
inhomogeneous linear equations for the self-consistent Maxwell
field, charge current and time-like velocity field of the
charged fluid.

Thursday, October 4, 2007
3:30 p.m.
ARC, Room 231/233