Incomplete information and fractal phase space

Details Incomplete information and fractal phase space Incomplete information and fractal phase space

2002-07-26

arxiv.org/abs/cond-mat/0207647v4

Chaos, Solitons & Fractals, 19(2004)639

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 ps figure, TeX

Scientific paper

The incomplete statistics for complex systems is characterized by a so called incompleteness parameter $\omega$ which equals unity when information is completely accessible to our treatment. This paper is devoted to the discussion of the incompleteness of accessible information and of the physical signification of $\omega$ on the basis of fractal phase space. $\omega$ is shown to be proportional to the fractal dimension of the phase space and can be linked to the phase volume expansion and information growth during the scale refining process.

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