Fractal model of heat capacity for substances with diamond-like structures

被引：71

作者：

Lazarev, VB ^{[1
]}

Izotov, AD ^{[1
]}

Gavrichev, KS ^{[1
]}

Shebershneva, OV ^{[1
]}

机构：

[1] NS KURNAKOV GEN & INORGAN CHEM INST,MOSCOW 117907,RUSSIA

来源：

THERMOCHIMICA ACTA | 1995年 / 269卷

关键词：

fractal dimension; heat capacity; low-temperature calorimetry; multifractal elasticity;

D O I：

10.1016/0040-6031(95)02529-4

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Low temperature heat capacity models for substances with diamond-like structures have been considered on the basis of the Debye model and fractal states filling at fixed characteristic temperature. It was shown that low temperature calorimetry is an efficient tool for scanning the distribution of the atomic vibrational states in real substances. Fractal dimension and Poisson's ratio in the elastic-isotropic multifractal model are related by a simple interdependence, which enables estimation of the fractal dimension from elastic properties of solids.

引用

页码：109 / 116

页数：8

共 19 条

[1]

BALANKIN AS, 1992, FIZ TVERD TELA+, V34, P1245

[2]

BALANKIN AS, 1993, IAN SSSR NEORG MATER, V29, P451

[3]

BLACKMAN M, 1955, HDB PHYSIK

[4]

BORN M, 1938, HDB PHYSIK

[5]

BORN M, 1912, Z PHYS, V13, P279

[6]

Debye P, 1912, ANN PHYS-BERLIN, V39, P789

[7] THE HEAT CAPACITY OF DIAMOND BETWEEN 12.8-DEGREES-K AND 277-DEGREES-K [J].

DESNOYERS, JE ;

MORRISON, JA .

PHILOSOPHICAL MAGAZINE, 1958, 3 (25) :42-48

[8]

DEVYATYKH GG, 1986, ZH FIZ KHIM, V60, P1797

[9] The Planck theory of radiation and the theory of specific heat [J].

Einstein, A .

ANNALEN DER PHYSIK, 1906, 22 (01) :180-190

[10]

Feder E., 1988, FRACTALS

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