## Proceedings of the International School of Physics "Enrico Fermi.", Volume 25N. Zanichelli, 1953 - Nuclear physics |

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Page 55

but the difficulty of solving this equation is reduced by the assumption of small

gyration radius. ... be the Fokker-Planck equation [6] for the Boltzmann

distribution function of each particle and

electromagnetic field.

but the difficulty of solving this equation is reduced by the assumption of small

gyration radius. ... be the Fokker-Planck equation [6] for the Boltzmann

distribution function of each particle and

**Maxwell's equations**for theelectromagnetic field.

Page 76

express

sketched by KRUSKAL in the Les Houches notes [13].

14) V. B = 0, - ©B (15) # =–evo E, 4:1.J 1 OF (16) Vx B = ** +; ;, (17) V. E = 4:to ...

express

**Maxwell's equation**to lowest order. Our development is the same as thatsketched by KRUSKAL in the Les Houches notes [13].

**Maxwell's equations**are (14) V. B = 0, - ©B (15) # =–evo E, 4:1.J 1 OF (16) Vx B = ** +; ;, (17) V. E = 4:to ...

Page 77

Thus

qdwdq = 0. It is easily shown from (11) that the time derivative of (22) is zero if (23

) is satisfied. (This is just (60-16t)+V-J-1 = 0.) Similarly the time derivative of (23) ...

Thus

**Maxwell's equations**to minus first order give (22) X's " dw da = 0, (23) X es "qdwdq = 0. It is easily shown from (11) that the time derivative of (22) is zero if (23

) is satisfied. (This is just (60-16t)+V-J-1 = 0.) Similarly the time derivative of (23) ...

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### Contents

LEZIONI | 1 |

carrier mass | 159 |

hydrodynamique au voisinage dun axe magnétique | 214 |

Copyright | |

2 other sections not shown

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### Common terms and phrases

adiabatic invariant amplitude approximation assumed Boltzmann equation boundary conditions boundary layer calculated cathode charge coefficient collision components consider const constant contraction corresponds courbe critère current density Debye length derived differential equations discharge dispersion relation distribution function dºr eigenvalue electric field electromagnetic waves electrostatic energy principle equations of motion equilibrium exp i(k exp ioctl exp ior experimental finite fluid theory frequency given Hence instability integral interaction ioctl ionized KRUSKAL l'axe magnétique lignes limit lowest order magnetic field Maxwell's equations negative ions nonlinear obtain parameter particle perturbation Phys plasma oscillations Plasma Physics Poisson's equation potential problem quantities radial region satisfied saturation current ſº solution solving stabilité stability surface temperature thermal tion values vanish variables vector velocity voisinage waves in plasmas zero zero-order