|
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-а
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.
Received: 14.10.2015
Citation:
S.Sh. Rekhviashvili, Kh. M. Senov, “On the thermal physical properties of the bulk
solid body layers with a fractal structure”, News of the Kabardin-Balkar scientific center of RAS, 2015, no. 6-1, 28–34
Linking options:
https://www.mathnet.ru/eng/izkab303 https://www.mathnet.ru/eng/izkab/y2015/i61/p28
|
Statistics & downloads: |
Abstract page: | 116 | Full-text PDF : | 47 | References: | 27 |
|