This article is cited in 2 papers

Thermophysical Properties of Materials

Multifractal treatment of free volume and diffusion of gases in polyethylene

G. V. Kozlov^a, L. Kh. Nafadzokova^a, G. E. Zaikov<sup>b

a</sup> Kabardino-Balkar State University, Nal'chik
^b Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow

Abstract: It is demonstrated that the multifractal model of processes of gas transport and the associated treatment of the part of amorphous phase accessible for diffusion enable one to make a correct quantitative description of the diffusion coefficient of various gases in polyethylene and of its temperature dependence. The physical meaning is revealed of the exponent $m$ in the equation for determining the diffusion coefficient of gases in amorphous-crystalline polymers. The boundary value is obtained of the diameter of molecule of penetrant gas, which defines the mono-to-multi-fractal transition of the mechanism of gas transport.

UDC: 669.017

PACS: 51.20.+d

Received: 19.09.2006

 English version: High Temperature, 2007, 45:6, 757–762

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