Dynamic structure factor of linear harmonic chain – a recurrence relation approach
Dynamic structure factor of linear harmonic chain – a recurrence relation approach
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DOI：
10.1140/epjb/e2011-20571-5
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发表时间：
2012-01
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影响因子：
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通讯作者：
A. Wierling
中科院分区：
文献类型：
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作者：
A. Wierling
通过递推关系方法获得了具有周期性边界条件的线性谐波链的动态结构因子S(q, ω)的近似值。将其与 S(q, ω) 的（数字）精确结果进行比较。结构因子矩的显式表达式是从阶次n= 12的短时间展开得到的。对于长波长以及深非弹性极限，导出了简单的表达式，在一定程度上允许S(q, ω)的解析结果。引入线性回归，定义了一个近似方案，该方案与数值结果非常吻合。
An approximation for the dynamic structure factorS(q, ω) of the linear harmonic chain with periodic boundary conditions is obtained from a recurrence relation approach. It is compared with (numerically) exact results forS(q, ω). Explicit expressions for the moments of the structure factor are obtained from the short time expansion up to ordern= 12. For the long-wavelength as well as the deep-inelastic limit, simple expressions are derived permitting to some extent analytic results forS(q, ω). Introducing a linear regression, an approximation scheme is defined which shows excellent agreement with the numerical results.