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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2015 Issue 6-1, Pages 28–34 (Mi izkab303)

PHYSICS

On the thermal physical properties of the bulk solid body layers with a fractal structure

S.Sh. Rekhviashvili, Kh. M. Senov

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-à

Abstract: Within the framework of the Debye model the fractal structure of the bulk solid layer is analyzed. Changing the fractal dimension can be associated with structural relaxation and do not always correspond to phase transitions. At high temperatures the fractal dimension is constant, while at low temperatures it may be set depending on the external conditions (at a given temperature and pressure). We derive expressions for the isochoric heat capacity, taking into account the temperature dependence of the fractal dimension and the generalized equation of state.

Keywords: fractals, fractal dimension, temperature dependence of the parameters, phonons, isochoric heat capacity, equation of state.

UDC: 517.958: [531-142.6+536]

Received: 14.10.2015



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