On the Role of the Entrostat in the Theory of Self-Organization


The reasons for introducing the concept of the entrostat in statistical physics are examined. The introduction of the entrostat has allowed researchers to show the possibility of self-organization in open systems within the understanding of entropy as a measure of disorder. The application of the laws written down for the entrostat has also allowed us to formulate the “synergetic open system” concept. A nonlinear model of the activity of a medium-sized company in the market is presented. In the course of the development of this model, the concept of the entrostat was used. This model includes the equation of a firm’s market activity and condition of its stability. It is shown that this stability depends on the income of the average buyers of the firm’s goods and furthermore that the equation estimating the firm’s market activity includes the scenario of a subharmonic cascade, which ends in chaos for the majority of market participants, i.e., in an economic crisis. The feature of this paper is that the decision containing the scenario of the subharmonic cascade is found analytically (instead of numerically, as is customary in the current scientific literature).

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Shapovalov, V. and Kazakov, N. (2014) On the Role of the Entrostat in the Theory of Self-Organization. Natural Science, 6, 467-476. doi: 10.4236/ns.2014.67045.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Prigogine, I. (1980) From Being to Becoming: Time and Complexity in the Physical Sciences. W. H. Freeman and Company, San Francisco.
[2] Klimontovich, Yu.L. (1996) Relative Ordering Criteria in Open Systems. Uspekhi Fizicheskikh Nauk, 166, 1231-1243.
[3] Haken, H. (1988) Information and Self-Organization. Springer-Verlag, Berlin.
[4] Shapovalov, V.I. (1990) Synergetics Aspect of the Law of the Entropy Growth. In: Pleskachevskiy, U.M., Ed., Non-Traditional Scientific Ideas about Nature and Its Phenomena, Club FENID, Homel, 370-372.
[5] Klimontovich, Yu.L. (1987) Entropy Evolution in Self-Organization Processes H-Theorem and S-Theorem. Physica, 142A, 390-404.
[6] Shapovalov, V.I. (1995) Entropiyny Mir (The Entropy World). Peremena, Volgograd.
[7] Shapovalov, V.I. (2001) Formation of System Properties and Statistical Approach. Automation and Remote Control, 62, 909-918.
[8] Shapovalov, V.I. (2004) To the Question on Criteria of Order Change in Open System: The Statistical Approach. Applied Physics, 5, 25-33.
[9] Shapovalov, V.I. (2005) Basis of Ordering and Self-Organization Theory. ISPO-Service, Moscow.
[10] Shapovalov, V.I. (2011) Entrostat.
[11] Shapovalov, V.I. (2008) The Criteria of Order Change in Open System: The Statistical Approach.
[12] Shapovalov, V.I. (2012) The Criterion of Ordering and Self-Organization of Open System. Entropy Oscillations in Linear and Nonlinear Processes. International Journal of Applied Mathematics and Statistics, 26, 16-29.
[13] Shapovalov, V.I. and Kazakov, N.V. (2013) The Fundamental Reasons for Global Catastrophes. Natural Science, 5, 673-677.
[14] Shapovalov, V.I. (2008) Steady Coexistence of the Subjects of the Market Representing the Private and State Capital.
[15] Haken, H. (1978) Synergetics: An Introduction. Springer, Berlin, New York.
[16] Berge, P., Pomeau, Y. and Vidal, Ch. (1988) L’ordre dans le chaos. Hermann, Paris.
[17] Brock, W.A. and Hommes, C.H. (1997) A Rational Route to Randomness. Econometrica, 65, 1059-1095.

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