By P. Morrison (auth.), S. Flügge (eds.)
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Extra resources for Cosmic Rays I / Kosmische Strahlung I
Smaller but repetitive events of this kind may arise in hydromagnetic wave patterns [20)1. ß) M oving magnetic mirrors. One of the most general of mechanisms has been suggested by FERMI [l1J. This operates by use of the longitudinal magnetic forces which serve to turn the particles back from a region of converging lines of force. Such a region may be thought of as a reflecting wall or mirror. Another form of reflection (perhaps less like a mirror than like a reentrant light pipe) arises when a line of force bends around until it returns parallel to itself.
13. The equation of motion for relativistic particles, including the radiation reaction, has been examined with some care by WENTZEL 1 who shows that the radiation reaction does not affect the equation of motion in any important way for energies below the limitting energy E B • Of course, the slow decline of the total energy E does influence the orbit, but the approximations of Sect. 11 are still valid. 0;1 remains a constant of the motion, and the guiding centers drift just as without the radiation effects.
Thus B L2 = const, where L is a typi~al dimension, and if the isotropy of the turbulent fluid is conserved, we have that e oe i/V, where e is the plasma density. 3). e. if transfer of energy is possible among all the motional degrees of freedom of field, plasma currents, and cosmic-ray particles. How far such transfers are inhibited by the dynamical conditions of the system in particular configurations, and over the times available of course can never be generally stated, but must be computed for each distinct case.