Ентропійний аналіз макросистем без основного постулату статистичної механіки
DOI:
https://doi.org/10.18372/1990-5548.52.11881Ключові слова:
Ентропійний аналіз, ентропійна дивергенція, макросистеми, складні системиАнотація
Показано, що для більшості нефізичних макросистем основний постулат статистичної механіки (постулат рівної апріорної імовірності мікростанів) втрачає силу, а роль ентропії має виконувати більш загальна характеристика. Розглянуто приклади законів розпділу.Посилання
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)
##submission.downloads##
Номер
Розділ
Ліцензія
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).