Radiation Reaction and Center Manifolds
| dc.creator | Markus | |
| dc.creator | Kunze | |
| dc.creator | Spohn, Herbert | |
| dc.date | 1999-01-12 | |
| dc.date.accessioned | 2026-07-07T04:32:39Z | |
| dc.date.available | 2026-07-07T04:32:39Z | |
| dc.description | We study the effective dynamics of a mechanical particle coupled to a wave field and subject to the slowly varying potential $V(\eps q)$ with $\eps$ small. To lowest order in $\eps$ the motion of the particle is governed by an effective Hamiltonian. In the next order one obtains ``dissipative'' terms which describe the radiation reaction. We establish that this dissipative dynamics has a center manifold which is repulsive in the normal direction and which is global, in the sense that for given data and sufficiently small $\eps$ the solution stays on the center manifold forever. We prove that the solution of the full system is well approximated by the effective dissipative dynamics on its center manifold. | |
| dc.identifier | https://arxiv.org/abs/math-ph/9901004 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9901004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58268 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.title | Radiation Reaction and Center Manifolds | |
| dc.type | text |