TY - JOUR
T1 - Post-Coulombian dynamics at order c-3
AU - Kunze, M.
AU - Spohn, H.
N1 - Funding Information:
MK acknowledges support through a Heisenberg fellowship of DFG.
PY - 2001
Y1 - 2001
N2 - We study the dynamics of N charges interacting with the Maxwell field. If their initial velocities are small compared to the velocity of light, c, then in lowest order their motion is governed by the static Coulomb Lagrangian. We investigate higher-order corrections with an explicit control on the error terms. The Darwin 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 Coulomb dynamics. If all particles have the same charge-to-mass ratio, the dissipation would vanish at that order.
AB - We study the dynamics of N charges interacting with the Maxwell field. If their initial velocities are small compared to the velocity of light, c, then in lowest order their motion is governed by the static Coulomb Lagrangian. We investigate higher-order corrections with an explicit control on the error terms. The Darwin 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 Coulomb dynamics. If all particles have the same charge-to-mass ratio, the dissipation would vanish at that order.
UR - http://www.scopus.com/inward/record.url?scp=0041369932&partnerID=8YFLogxK
U2 - 10.1007/s00332-001-0455-z
DO - 10.1007/s00332-001-0455-z
M3 - Article
AN - SCOPUS:0041369932
SN - 0938-8974
VL - 11
SP - 321
EP - 396
JO - Journal of Nonlinear Science
JF - Journal of Nonlinear Science
IS - 5
ER -