Statistical Inequalities and Thermodynamics of Open Systems

  • F. Schlögl


A relative measure K for a probability distribution p with respect to a reference distribution p’ turns out to be very useful in statistical thermodynamics of open systems. p’ can describe the influence of the environment. With this notion the stability conditions of thermostatics are obtained directly. The Glansdorff—Prigogine stability criterion for steady nonequilibrium states, with the inclusion of final perturbations and Meixner’s passivity conditions, can be deduced in statistical theory. K is connected with the probability of fluctuations in a stable steady state. That gives rise to relations between dynamics of small fluctuations and their correlations. With an adequate measure K for density matrices essentially all the results can be achieved by quantum theory. Heat capacity is related to another general statistical measure for probability distributions, and can be generalised to nonequilibrium states, especially to nonequilibrium phase transitions.


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Copyright information

© Instituto de Alta Cultura-Núcleo de Estudos de Engenharia Mecanica 1973

Authors and Affiliations

  • F. Schlögl
    • 1
  1. 1.Institut für Theoretische PhysikRWTH AachenAachenGermany

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