Momentum autocorrelation function of an impurity in a classical oscillator chain with alternating masses III. Some limiting cases

Ming B. Yu

Physica A: Statistical Mechanics and its Applications, 2016, vol. 447, issue C, 411-421

Abstract: 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 m0,m1,m2 approaches to zero or infinity are analyzed. It is found that the cases m0→0 and →(2m2)+ 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 m2→0 is studied and the ratio of two specific infinite products is obtained.

Keywords: Impurity in a diatomic chain; Recurrence relations method; Limiting cases; Ergodicity (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:447:y:2016:i:c:p:411-421

DOI: 10.1016/j.physa.2015.12.034

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