### Abstract

For a system of N charged particles moving in a homogeneous,
sufficiently strong magnetic field, a many-particle adiabatic
invariant constrains the collisional exchange of energy between
the degrees of freedom perpendicular to and parallel to the
magnetic field. A description of the phenomenon in terms of
Hamiltonian dynamics is given. The relation to the Equipartition
Theorem of statistical Mechanics is briefly discussed.

Original language | English |
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Title of host publication | Hamiltonian systems with three or more degrees of freedom |

Place of Publication | Dordrecht |

Publisher | Kluver |

Publication date | 1999 |

Pages | 408-412 |

Publication status | Published - 1999 |

Event | Hamiltonian Systems with three or more degrees of freedom - Barcelona Duration: 1 Jan 1995 → … |

### Conference

Conference | Hamiltonian Systems with three or more degrees of freedom |
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City | Barcelona |

Period | 01/01/1995 → … |

## Cite this

Hjorth, P. G. (1999). A Many Particle Adiabatic Invariant. In

*Hamiltonian systems with three or more degrees of freedom*(pp. 408-412). Kluver.