Entropy and Fractals_ Crimson Publishers

Entropy and Fractals by Korablev G А* in Journal of Scientific Conference Proceedings_ Integrative Journal of Conference Proceedings

 

Abstract
The resonance stationary state of structural processes takes place under the condition of equality of degrees of corpuscular and wave interactions. The fractal structures are formed under the condition of equilibrium statistic interaction of entropic and negentropic characteristics of all particles. Such principle is realized not only for snowflakes but also in many other natural phenomena, for example, during the cloud formation and even during dust concentration in premises. This condition is also fulfilled in microworld that is confirmed by the equations of Plank’s constant, fine structure constant and for number. The conclusions obtained can be used in practice to search for optimal technological solutions.

Introduction
In statistic thermodynamics the entropy (S) of the closed and equilibrious system equals the logarithm of the probability of its definite microstate where W-number of available states of the system or degree of the degradation of microstates; k-Boltzmann’s constant. These correlations are general assertions of macroscopic character, do not contain any references to the structure elements of the systems considered and they are completely independent of microscopic models. Therefore, the application and consideration of these laws can result in a large number of consequences. The thermodynamic probability W is the main characteristic of the process. In actual processes in the isolated system the entropy growth is inevitable-disorder and chaos increase in the system; the quality of internal energy goes down. Thermodynamic probability equals the number of microstates corresponding to the given macrostate. An analysis was made of the nature of the change in the value of potential energy by its sign for various potential fields

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