S-theorem View Full Text


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Article Info

DATE

1987-03

AUTHORS

Y. L. Klimontovich

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. More... »

PAGES

125-127

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01312769

DOI

http://dx.doi.org/10.1007/bf01312769

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015255880


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