Momentum autocorrelation function of an impurity in a classical oscillator chain with alternating masses III. Some limiting cases
| Autor: | Ming B. Yu |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Recurrence relation Series (mathematics) Ergodicity Zero (complex analysis) Infinite product Condensed Matter Physics 01 natural sciences Diatomic molecule 010305 fluids & plasmas Momentum Amplitude Quantum mechanics 0103 physical sciences 010306 general physics Mathematics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 447:411-421 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2015.12.034 |
| Popis: | The momentum autocorrelation function of a mass impurity in a classic diatomic chain is studied using the recurrence relations method. General expressions for the contributions of branch cuts and resonant poles have been derived and illustrated in previous papers I and II, respectively. In the present paper a series of limiting cases that any one of the three masses m 0 , m 1 , m 2 approaches to zero or infinity are analyzed. It is found that the cases m 0 → 0 and → ( 2 m 2 ) + are closely related to each other and that the general expressions for the amplitudes are valid also in the limits λ → 0 and ∞ . The ergodicity in the case m 2 → 0 is studied and the ratio of two specific infinite products is obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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