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arXiv 0910.0455cond-mat.mtrl-scicond-mat.other
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非简谐固体中振动模寿命的改进计算-第一部分:理论

Improved Calculation of Vibrational Mode Lifetimes in Anharmonic Solids - Part I: Theory

Doyl Dickel, Murray S. Daw

摘要:

我们在这里提出了一个正式的基础,实际计算的振动模式的寿命在固体。该方法是基于Liouvillian的递归方法分析。由此,我们得出的寿命的振动模式的时刻的Liouvillian投影到相空间的相关子空间的功率谱。在实际中,矩被评估为定义良好的算子的系综平均值,这意味着整个计算将使用Monte Carlo完成。与当前方法相比,这些见解应导致显著更短的计算。一个同伴片提供数值结果。

英文摘要:

We propose here a formal foundation for practical calculations of vibrational mode lifetimes in solids. The approach is based on a recursion method analysis of the Liouvillian. From this we derive the lifetime of a vibrational mode in terms of moments of the power spectrum of the Liouvillian as projected onto the relevant subspace of phase space. In practical terms, the moments are evaluated as ensemble averages of well-defined operators, meaning that the entire calculation is to be done with Monte Carlo. These insights should lead to significantly shorter calculations compared to current methods. A companion piece presents numerical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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