Momentum autocorrelation function of a classical oscillator chain with alternating masses

A classical harmonic oscillator chain with alternating masses is studied using the recurrence relations method. The momentum autocorrelation function changes from combination of cosines to Bessel functions when the number of oscillators increases from finite to infinite bringing about irreversibilit...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2013-02, Vol.86 (2), Article 57
Main Author: Yu, Ming B.
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Fluid- and Aerodynamics
General theory
Lattice dynamics
Physics
Physics and Astronomy
Regular Article
Solid State Physics
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Summary:A classical harmonic oscillator chain with alternating masses is studied using the recurrence relations method. The momentum autocorrelation function changes from combination of cosines to Bessel functions when the number of oscillators increases from finite to infinite bringing about irreversibility. Optic and acoustic branches of the momentum autocorrelation function are expanded in terms of even-order Bessel functions and are shown to be finite and well behaved. Irreversibility and ergodicity are discussed.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2012-30844-0