Abstract
A modification of the thermodynamic Weinhold metric is introduced by the statistical scheme of bit-number cumulants discussed in earlier papers. It is a metric in the space of intensive thermal variables and becomes identical with the Weinhold metric if transformed into the space of extensive variables. The quadratic forms of the metric tensor are different for finite distances. The here presented metric is signified by quantities defined in general statistics, distinguished by important invariance properties and moreover it brings simplifications.
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Schlögl, F. Thermodynamic metric and stochastic measures. Z. Physik B - Condensed Matter 59, 449–454 (1985). https://doi.org/10.1007/BF01328857
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DOI: https://doi.org/10.1007/BF01328857