On the Riemannian metrical structure in the classical statistical equilibrium thermodynamics. (English) Zbl 0637.53085

The main purpose of this paper is to find a correspondence between the metric structures (Riemannian structure) arising in a natural way in statistical equilibrium physics and metric structures on the (phenomenological) thermodynamical surfaces. A geometrical analysis of Gibbs states presented in the logarithmic scale is done. This paper is restricted to the description of an ideal gas composed of n non- interacting particles in connection with the Boguslavski distribution.
Reviewer: M.Wodarzik


53B50 Applications of local differential geometry to the sciences
82B05 Classical equilibrium statistical mechanics (general)
82B30 Statistical thermodynamics
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