Momentum autocorrelation function of a classic diatomic chain
| Autor: | Ming B. Yu |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Recurrence relation Autocorrelation Mathematical analysis Elliptic function General Physics and Astronomy 01 natural sciences Diatomic molecule 010305 fluids & plasmas Momentum symbols.namesake 0103 physical sciences symbols Convolution theorem 010306 general physics Complex plane Bessel function |
| Zdroj: | Physics Letters A. 380:3583-3587 |
| ISSN: | 0375-9601 |
| DOI: | 10.1016/j.physleta.2016.08.042 |
| Popis: | A classical harmonic diatomic chain is studied using the recurrence relations method. The momentum autocorrelation function results from contributions of acoustic and optical branches. By use of convolution theorem, analytical expressions for the acoustic and optical contributions are derived as even-order Bessel function expansions with coefficients given in terms of integrals of elliptic functions in real axis and a contour parallel to the imaginary axis, respectively. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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