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Pulse propagation in decorated granular chains: An analytical approach

Upendra Harbola1, Alexandre Rosas2, Aldo H. Romero3, Massimiliano Esposito1,4, and Katja Lindenberg1

  • 1Department of Chemistry and Biochemistry, and BioCircuits Institute, University of California–San Diego, La Jolla, California 92093-0340, USA
  • 2Departamento de Física, CCEN, Universidade Federal da Paraíba, Caixa Postal 5008, 58059-900 João Pessoa, PB, Brazil
  • 3Cinvestav-Querétaro, Libramiento Norponiente 200, 76230 Fracc. Real de Juriquilla, Querétaro, Querétaro, Mexico
  • 4Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium

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Phys. Rev. E 80, 051302 – Published 24 November, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.051302

Abstract

We study pulse propagation in one-dimensional chains of spherical granules decorated with small grains placed between large granules. The effect of the small granules can be captured by replacing the decorated chains by undecorated chains of large granules of appropriately renormalized mass and effective interaction between the large granules. This allows us to obtain simple analytic expressions for the pulse propagation properties using a generalization of the binary collision approximation introduced in our earlier work [Phys. Rev. E 80, 031303 (2009); Phys. Rev. E 69, 037601 (2004)].

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Phys. Rev. E 80, 051302– Published 24 November, 2009
  • Received 15 September 2009

© 2009 American Physical Society

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