Вид документа : Статья из журнала
Шифр издания : 53/K 79
Автор(ы) : Koverda V. P., Skokov V. N.
Заглавие : Entropy maximum in a nonlinear system with the 1/f fluctuation spectrum
Место публикации : Technical Physics. - 2011. - Vol.56, №11. - С. 1539-1545
ББК : 53
Предметные рубрики: ФИЗИКА
Ключевые слова (''Своб.индексиров.''): fluctuations --1/f spectrum --gibbs-shannon informational entropy
Аннотация: Analysis of the control and subordination is carried out for the system of nonlinear stochastic equations describing fluctuations with the 1/f spectrum and with the interaction of nonequilibrium phase transitions. It is shown that the control equation of the system has a distribution function that decreases upon an increase in the argument in the same way as the Gaussian distribution function. Therefore, this function can be used for determining the Gibbs-Shannon informational entropy. The local maximum of this entropy is determined, which corresponds to tuning of the stochastic equations to criticality and indicates the stability of fluctuations with the 1/f spectrum. The values of parameter q appearing in the definition of these entropies are determined from the condition that the coordinates of the Gibbs-Shannon entropy maximum coincide with the coordinates of the Tsallis entropy maximum and the Renyi entropy maximum for distribution functions with a power dependence

Доп.точки доступа:
Skokov, V. N.; Скоков Вячеслав Николаевич; Коверда Владимир Петрович