Authors: Sergey A. Kamenshchikov
Evolution of arbitrary stochastic system was considered in frame of phase transition description. Concept of Reynolds parameter of hydrodynamic motion was extended to arbitrary complex system. Basic phase parameter was expressed through power of energy, injected into system and power of energy, dissipated through internal nonlinear mechanisms. It was found out that basic phase parameter as control parameter must be delimited for two types of system - accelerator and decelerator. It was suggested to select zero state entropy on through condition of zero value for entropy production. Zero state introduces universal principle of disorder characterization. On basis of self organization S – theorem we have derived relations for entropy production behavior in the vicinity stationary state of system. Advantage of these relations in comparison to classical Prigogine theorem is versatility of their application to arbitrary nonlinear systems. It was found out that extended Prigogine theorem introduces two relations for accelerator and decelerator correspondingly, which remarks their quantitative difference. At the same time classic Prigogine theorem makes possible description of linear decelerator only. For unstable motion it corresponds to strange attractor.
Comments: 8 Pages. Published unaltered at Chaos and Complexity Letters, Volume 8, Issue 1, 2014, pp. 63-71. Author: ru.linkedin.com/pub/sergey-kamenshchikov/60/8b1/21a/
Download: PDF
[v1] 2013-06-06 05:33:35
[v2] 2014-07-12 05:49:35
Unique-IP document downloads: 354 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.