Momentum autocorrelation function of Fibonacci chains with finite number oscillators

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 a...

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Veröffentlicht in:	The European physical journal. B, Condensed matter physics Condensed matter physics, 2012-11, Vol.85 (11), Article 379
1. Verfasser:	Yu, M.B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Complex Systems Condensed Matter Physics Exact sciences and technology Fluid- and Aerodynamics Nonlinear dynamics and nonlinear dynamical systems Physics Physics and Astronomy Regular Article Solid State Physics Statistical physics, thermodynamics, and nonlinear dynamical systems
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	1434-6028 1434-6036
DOI:	10.1140/epjb/e2012-30545-8