publication . Other literature type . Article . 1981

Gibbs ensembles in relativistic classical and quantum mechanics

L.P Horwitz; W.C Schieve; C Piron;
  • Published: 01 Dec 1981
  • Publisher: Elsevier BV
Abstract Classical and quantum Gibbs ensembles are constructed for equilibrium statistical mechanics in the framework of an extension to many-body theory of a relativistic mechanics proposed by Stueckelberg. In addition to the usual chemical potential in the grand canonical ensemble, there is a new potential corresponding to the mass degree of freedom of relativistic systems. It is shown that in the nonrelativistic limit the relativistic ensembles we have obtained reduce to the usual ones, and mass fluctuations for the free-particle gas approach the fluctuations in N . The ultrarelativistic limit of the canonical ensemble for the free-particle gas differs from t...
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