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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


Talk Slides: (Slides)
For further info, please contact Alex Bogacz at x5784*