- 99-1 Kunze M., Spohn H.
- Radiation Reaction and Center Manifolds
Jan 2, 99
(auto. generated ps),
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Abstract. 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.