ENTROPICAL ANALYSIS OF MACROSYSTEMS OUTSIDE THE MAIN POSTULET OF STATISTICAL MECHANICS
DOI:
https://doi.org/10.18372/1990-5548.52.11881Keywords:
Entropy analysis, entropy divergence, macrosystems, complex systemsAbstract
It is shown that for most nonphysical macrosystems the basic postulate of statistical mechanics (the postulate of equal a priori probability of microstates) loses its power and the role of entropy should be fulfilled by a more general characteristic. Examples of distribution laws are considered.References
E. T. Jaynes, “Information theory and statistical mechanics”, Physical Review, 1957, vol. 106, pp. 620–630.
M. Planck, Introduction to the Theoretical Physics: Theory of Heat. Moscow, Scientific and Technical Publishing House, 1935, part 5, 229 p. (in Russian)
J. I. Frankel, Statistical Physics, Moscow, Publishing House of Academy of Sciences of USSR, 1948, 760 p. (in Russian)
[ A. Sommerfeld, Thermodynamics and Statistical Physics, Moscow, Foreign Publishing House, 1955, 481 p.
C. Kittel, Statistical Thermodynamics, Moscow, Prosveshenie, 1977, 336 p. (in Russian)
V. Yakovenko, Statistical Mechanics Approach to the Probability Distribution of Money, Department of Physics, University of Maryland, 2010, 11 p.
S. A. Galkin, O. I. Elagin, A. A. Kozlov, V. A. Potapenko, and M. J. Romanovsky, “Exponential distributions of individual incomes and expenses of the
citizens: Observations and models”, Proceedings of the Institute of General Physics, Moscow, Russian Academy of Sciences, 2009, vol. 65, pp. 29–49. (in
Russian)
A. J. Wilson, Entropy Methods of Complex Systems Modeling, Moscow, Nauka, 1978, 248 p. (in Russian)
A. P. Levich, V. L. Alexeev, and V. A. Nikulin, “Mathematical aspects of the variational modeling in the ecology of communities”, Mathematical Modeling,
, no. 5, pp. 55–76. (in Russian)
I. V. Prangishvili, Entropy and Other Systemic Regularities: Questions of Complex Systems Controlling, Moscow, Nauka, 2003, 428 p. (in Russian)
Physical Encyclopedia under edition of A. М. Prokhorov, Moscow, Sovietskaya Encyclopedia, 1995, vol. 4, 640 p. (in Russsian)
N. I. Delas, and V. A. Kasyanov, “Limitary hyperbolic distribution law in self-organized systems”, East-European Journal of Advanced Technologies, 2012,
vol. 58, no. 4, pp. 13–18. (in Russsian)
N. I. Delas, “Hyperbolic distribution complex systems evolution”, East-European Journal of Advanced Technologies, 2013, vol. 63, no. 4, pp. 67–73. (in
Russian)
S. Kullback, and R. A. Leibler, “On information and sufficiency”, The Annals of Mathematical Statistics, 1951, vol. 22, no.1, pp. pp. 79–86. (in Rusian)
B. A. Trubnikov and O. B. Trubnikova, “Five great probabilities distributions”, Priroda, 2004, no. 11, pp. 13–20. (in Russian)
Downloads
How to Cite
Issue
Section
License
The scientific journal “Electronics and control systems” adheres to the principles of Open Access and provides free, immediate, and permanent access to all published materials without financial, technical, or legal barriers for readers.
All articles are published in Open Access under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.
Copyright
Authors who publish their works in the journal “Electronics and control systems”:
-
retain the copyright to their publications;
-
grant the journal the right of first publication of the article;
-
agree to the distribution of their materials under the CC BY 4.0 license;
-
have the right to reuse, archive, and distribute their works (including in institutional and subject repositories), provided that proper reference is made to the original publication in the journal.