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S-theorem

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Zeitschrift für Physik B Condensed Matter

Abstract

The question: “What is self-organization?” is very interesting and very difficult. It is possible to find many examples of self-organizing systems, many examples of equations for the description of different processes of self-organization, but it is not easy to propose the most simple and most general quantitative criterion of self-organization [1–3].

In the papers [4–13] the following statement (called S-theorem in [4]) for some different systems was formulated: If, as the value of the control parameter is increased and the system recedes from the “equilibrium” state, the Boltzmann-Gibbs entropy renormalized to a given value of mean “energy” (effective Hamiltonian) decreases, then the process of self-organization is under way.

Here we want to give the general proof of the S-theorem.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, SU-117234, Moscow, Union of Socialist Soviet Republics

    Y. L. Klimontovich

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  1. Y. L. Klimontovich
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Klimontovich, Y.L. S-theorem. Z. Physik B - Condensed Matter 66, 125–127 (1987). https://doi.org/10.1007/BF01312769

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  • DOI: https://doi.org/10.1007/BF01312769

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