Post-Newtonian dynamics at order 1.5 in the Vlasov-Maxwell system
| dc.creator | Bauer, Sebastian | |
| dc.date | 2006-02-13 | |
| dc.date.accessioned | 2026-07-07T07:02:58Z | |
| dc.date.available | 2026-07-07T07:02:58Z | |
| dc.description | We study the dynamics of many charges interacting with the Maxwell field. The particles are modeled by means of non-negative distribution functions $f^+$ and $f^-$ representing two species of charged matter with positive and negative charge, respectively. If their initial velocities are small compared to the speed of light, $c$, then in lowest order, the Newtonian or classical limit, their motion is governed by the Vlasov-Poisson system. We investigate higher order corrections with an explicit control on the error terms. The Darwin order correction, order $|v/c|^2$, has been proved previously. In this contribution we obtain the dissipative corrections due to radiation damping, which are of order $|v/c|^3$ relative to the Newtonian limit. If all particles have the same charge-to-mass ratio, the dissipation would vanish at that order. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0602031 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0602031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108798 | |
| dc.subject | Mathematical Physics | |
| dc.title | Post-Newtonian dynamics at order 1.5 in the Vlasov-Maxwell system | |
| dc.type | text |