The critical manifold of the Lorentz-Dirac equation

Details The critical manifold of the Lorentz-Dirac equation The critical manifold of the Lorentz-Dirac equation

1999-11-14

arxiv.org/abs/physics/9911027v1

Europhys.Lett.49:287-292,2000

Physics

Accelerator Physics

Scientific paper

10.1209/epl/i2000-00268-x

We investigate the solutions to the Lorentz-Dirac equation and show that its solution flow has a structure identical to the one of renormalization group flows in critical phenomena. The physical solutions of the Lorentz-Dirac equation lie on the critical surface. The critical surface is repelling, i.e. any slight deviation from it is amplified and as a result the solution runs away to infinity. On the other hand, Dirac's asymptotic condition (acceleration vanishes for long times) forces the solution to be on the critical manifold. The critical surface can be determined perturbatively. Thereby one obtains an effective second order equation, which we apply to various cases, in particular to the motion of an electron in a Penning trap.

Affiliated with

Also associated with

No associations

Rating

The critical manifold of the Lorentz-Dirac equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The critical manifold of the Lorentz-Dirac equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The critical manifold of the Lorentz-Dirac equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-206932