Zeitschrift für Physik B Condensed Matter

, Volume 59, Issue 4, pp 449–454 | Cite as

Thermodynamic metric and stochastic measures

  • F. Schlögl


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.


Spectroscopy Neural Network State Physics Complex System General Statistic 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • F. Schlögl
    • 1
  1. 1.Institut für Theoretische PhysikRheinisch-Westfälische Technische Hochschule AachenAachenGermany

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