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The time derivative of information gain as excess entropy production

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Czechoslovak Journal of Physics Aims and scope

Abstract

An information gain depending on two nonequilibrium coarse-grained statistical operators is discussed. The relation between the time derivative of information gain and excess entropy production is derived. Prigogine's stability criterion is expressed by means of the information gain. It is shown in the domain of linear nonequilibrium thermodynamics that zero time derivative of information gain corresponds to a minimum of entropy production and K theorem can be formulated.

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  1. Department of Physics, Faculty of Electrical Engineering and Computer Science, Technical University, Kraví hora, 602 00, Brno, Czech Republic

    Milena Kheilová

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  1. Milena Kheilová
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Kheilová, M. The time derivative of information gain as excess entropy production. Czech J Phys 44, 729–735 (1994). https://doi.org/10.1007/BF01700639

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