Momentum autocorrelation function of an impurity in a classical oscillator chain with alternating masses II. Illustrations

Ming B. Yu

Physica A: Statistical Mechanics and its Applications, 2015, vol. 438, issue C, 469-486

Abstract: A classic diatomic chain with a mass impurity is studied using the recurrence relations method. The dependence of frequency and amplitude upon two mass ratios is illustrated in detail. By examining the figures we can learn a lot about the model, such as the widths of the acoustic and optical branches as well as the gap between them, the frequency and amplitude of the resonant modes, etc. The momentum autocorrelation functions of the impurity in different regions of the configuration space are numerically calculated and illustrated. A theorem is obtained governing the upper and lower frequencies of the acoustic and optical branches. The envelope of the integrand of the cut contribution is determined. The convergence of numerical calculations of time integration for parameter W to its theoretical value is confirmed.

Keywords: Impurity in diatomic chain; Cut & pole contributions; Frequencies and amplitudes; Frequency theorem; Envelope; Ergodicity (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437115005671
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:438:y:2015:i:c:p:469-486

DOI: 10.1016/j.physa.2015.06.014

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().