Radiative damping: a case study

Details Radiative damping: a case study Radiative damping: a case study

2011-05-23

arxiv.org/abs/1105.4470v1

Physics

Classical Physics

4 figures

Scientific paper

We are interested in the motion of a classical charge coupled to the Maxwell self-field and subject to a uniform external magnetic field, B. This is a physically relevant, but difficult dynamical problem, to which contributions range over more than one hundred years. Specifically, we will study the Sommerfeld-Page approximation which assumes an extended charge distribution at small velocities. The memory equation is then linear and many details become available. We discuss how the friction equation arises in the limit of "small" B and contrast this result with the standard Taylor expansion resulting in a second order equation for the velocity of the charge.

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