Information Measures and Thermodynamic Criteria of Motion
The well known connection between entropy and Shannon’s definition of information finds a generalization in the connection between Kullback’s information gain and thermodynamic quantities which are essential for entropy production, for the stability criterion of Glansdorff and Prigogine, or for the probability and dynamics of fluctuations in a steady state. Another generalization leads to a set of ordered correlation measures. In particular the measure of second order leads to specific heat and generalizations which show a characteristic critical behaviour in nonequilibrium phase transitions.
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