This article is cited in 3 papers

Deterministic Systems

Probabilistic characteristics of paramacrosystems

Yu. S. Popkov^ab, D. L. Dorofeev^ab, B. A. Zon<sup>ab

a</sup> Voronezh State University
^b Institute of Systems Analysis, Russian Academy of Sciences, Moscow

Abstract: Consideration is given to macrosystems called paramacrosystems with different elements, with stochastic behavior, and states of finite capacity. Thus is fulfilled the interval between two classical capacity characteristics of states: Fermi, with one element, and Einstein, with unlimited number of elements in each state. Using the apparatus of generating functions, we obtained expressions for probabilistic characteristics (functions of probability distribution and “physical” entropies) for four classes of paramacrosystems with corresponding combinations of distinguishable and indistinguishable elements and states with finite capacities.

PACS: 02.30.Yy

Presented by the member of Editorial Board: B. T. Polyak

Received: 23.07.2007

 English version: Automation and Remote Control, 2008, 69:2, 223–232

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