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Energy Dynamics In A One-Dimensional Aperiodic Anharmonic Lattice

Author

Listed:
  • C. A. A. DOS SANTOS

    (Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió - AL, Brazil)

  • T. F. ASSUNÇÃO

    (Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió - AL, Brazil)

  • M. L. LYRA

    (Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió - AL, Brazil)

  • F. A. B. F. DE MOURA

    (Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió - AL, Brazil)

Abstract

We study the nature of collective excitations in classical anharmonic lattices with aperiodic and pseudo-random harmonic spring constants. The aperiodicity was introduced in the harmonic potential by using a sinusoidal function whose phase varies as a power-law,ϕ ∝ nν, wherenlabels the positions along the chain. In the absence of anharmonicity, we numerically demonstrate the existence of extended states and energy propagation for a sufficiently large degree of aperiodicity. Calculations were done by using the transfer matrix formalism (TMF), exact diagonalization and numerical solution of the Hamilton's equations. When nonlinearity is switched on, we numerically obtain a rich framework involving stable and unstable solitons.

Suggested Citation

  • C. A. A. Dos Santos & T. F. Assunção & M. L. Lyra & F. A. B. F. De Moura, 2012. "Energy Dynamics In A One-Dimensional Aperiodic Anharmonic Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(08), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:08:n:s0129183112400098
    DOI: 10.1142/S0129183112400098
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    1. anonymous, 1993. "Appointment of eight new members," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Feb, pages 1-96.
    2. Unknown, 1993. "Honorary Life And Distinguished Member Awards," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 22(2), pages 1-4, October.
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