First page Back Continue Last page Summary Graphics
Hamiltonian Diffusion
H=H0+ H1 + H2 +
H = mBm+ qU + mdBm/dt + q dU/dt +
<H> = 0 (conservation of energy)
<H2> =/= 0 => D a m(dBm/dt)2 + q (dU/dt)2
Diffusion coefficient is easily derived (cf. Falthammer 65,68, Lyons 75)
Asymptotic series converge rapidly, error is minimized. (cf. Dragt 9x and Lie algebra)
Explains the L4 dependence seen in the data.