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    Classical relativistic statistical mechanics: The case of a hot dilute plasma

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    URI: http://hdl.handle.net/10902/1773
    DOI: 10.1103/PhysRevD.23.2181
    ISSN: 0556-2821
    ISSN: 1089-4918
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    Author
    Lapiedra, R.; Santos Corchero, Emilio
    Date
    1981-05-15
    Derechos
    © 1981 The American Physical Society
    Publicado en
    Physical Review D. Particles and fields, vol. 23, num. 10, p. 2181-2188, (1981)
    Publisher
    American Physical Society
    Abstract:
    Starting from predictive relativistic mechanics we develop a classical relativistic statistical mechanics. For a system of N particles, the basic distribution function depends, in addition to the 6N coordinates and velocities, on N times, instead of a single one as in the usual statistical mechanics. This generalized distribution function obeys N (instead of 1) continuity equations, which give rise to N Liouville equations in the case of a dilute plasma (i.e., to lowest, nonzero order in the charges). Hence, the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for the reduced generalized distribution functions is derived. A relativistic Vlasov equation is obtained in this way. Thermal equilibrium is then considered for a dilute plasma. The calculation is explicitly worked out for a weakly relativistic plasma, up to order 1/c2, and known results are recovered.
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    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España