Momentum autocorrelation function of Fibonacci chains with finite number oscillators
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A Fibonacci chain is composed of oscillators with two different masses and its total (even) number of oscillators N is associated with Fibonacci numbers. The momentum autocorrelation function of a specific oscillator in the chain is shown to be combination of 1 + (N/2) cosines, their frequencies and amplitudes are calculated numerically for N ≤ 40. The momentum autocorrelation functions are illustrated for Fibonacci chains with N up to 176.
KeywordsStatistical and Nonlinear Physics
- 12.O. Aberth, Precise Numerical Methods Using C++ (Academic Press, San Diego, 1998), Chap. 6Google Scholar