Relativistic Statistical Thermodynamics

Abstract
Bergmann has generalized Gibbs' classical statistical mechanics so as to make it applicable to both relativistic and quantum-mechanical systems. His method, however, involves some complicated differential geometry, and the resulting formulas are not easily manageable. A different method for obtaining a relativistic and quantized statistical thermodynamics is proposed which avoids the differential geometry and gives simpler final formulas. The end results agree with the usual phenomenological relativistic thermodynamics, in which the entropy is a relativistic invariant, while heat and inverse temperature are generalized to be quadrivectors.

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