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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Phonon scattering ： ウィキペディア英語版 Phonon scattering Phonons can scatter through several mechanisms as they travel through the material. These scattering mechanisms are: Umklapp phonon-phonon scattering, phonon-impurity scattering, phonon-electron scattering, and phonon-boundary scattering. Each scattering mechanism can be characterised by a relaxation rate 1/$\backslash tau$ which is the inverse of the corresponding relaxation time. All scattering processes can be taken into account using Matthiessen's rule. Then the combined relaxation time $\backslash tau\_$ can be written as: :$\backslash frac\; =\; \backslash frac+\backslash frac+\backslash frac+\backslash frac$, $\backslash tau\_$, $\backslash tau\_$, $\backslash tau\_$ are due to Umklapp scattering, mass-difference impurity scattering, boundary scattering and phonon-electron scattering, respectively. ==Phonon-phonon scattering== For phonon-phonon scattering, effects by normal processes (processes which conserve the phonon wave vector - N processes) are ignored in favor of Umklapp processes (U processes). Since normal processes vary linearly with $\backslash omega$ and umklapp processes vary with $\backslash omega^2$, Umklapp scattering dominates at high frequency. $\backslash tau\_U$ is given by: :$\backslash frac=2\backslash gamma^2\backslash frac\backslash frac$ where $\backslash gamma$ is Gruneisen anharmonicity parameter, μ is shear modulus, V0 is volume per atom and $\backslash omega\_$ is Debye frequency. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Phonon scattering」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.