Lattice Thermal Conductivity
Lattice Thermal Conductivity
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DOI：
10.1103/physrev.98.1751
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发表时间：
1955-06
期刊：
影响因子：
--
通讯作者：
J. S. Dugdale;D. K. C. MacDonald
中科院分区：
文献类型：
--
作者：
J. S. Dugdale;D. K. C. MacDonald
Consideration of the anharmonic properties of a linear chain suggests that the dimensionless quantity $\ensuremath{\alpha}\ensuremath{\gamma}T$ is in general a measure of the anharmonicity of a lattice ($\ensuremath{\alpha}$ is the thermal expansion coefficient and $\ensuremath{\gamma}$ the Gr\"uneisen parameter). It is therefore proposed that the mean free path for lattice vibrations in an insulator should, in the classical temperature region, be approximately $\frac{{A}_{0}}{\ensuremath{\alpha}\ensuremath{\gamma}T}$, where ${A}_{0}$ is the lattice spacing. Reasonably good agreement with experiment is found.
Consideration of the anharmonic properties of a linear chain suggests that the dimensionless quantity $\ensuremath{\alpha}\ensuremath{\gamma}T$ is in general a measure of the anharmonicity of a lattice ($\ensuremath{\alpha}$ is the thermal expansion coefficient and $\ensuremath{\gamma}$ the Gr\"uneisen parameter). It is therefore proposed that the mean free path for lattice vibrations in an insulator should, in the classical temperature region, be approximately $\frac{{A}_{0}}{\ensuremath{\alpha}\ensuremath{\gamma}T}$, where ${A}_{0}$ is the lattice spacing. Reasonably good agreement with experiment is found.