Nonlinear, statistical and applied physics of solitary wavelike objects in granular systems

Diankang Sun, Edgar Ávalos, Robert L. Doney, Robert P. Simion, Adam Sokolow, Surajit Sen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider a simple problem that of a horizontal alignment of identical grains, and insure that the grains are in gentle mutual contact and held between two rigid fixed end walls. Grain-grain interactions are intrinsically nonlinear according to the Hertz law and hence no sound waves can propagate through this alignment. The discussions here concern the solitary wave nature of propagation of any perturbation and its subsequent dispersion in the same vein as we probe the dispersion of a perturbation in linear response theory in statistical physics. We show that a perturbed granular alignment exhibits both decaying and growing solitary waves and can indeed reach an equilibrium-like state. We suggest that this equilibrium-like state may not be the equilibrium state commonly reached in thermodynamics and statistical physics. Moving beyond the effort to develop a deeper understanding of the energy transport problem in granular systems, we discuss a new application of a granular alignment system, that of driven granular alignments that show rich nonlinear dynamics and can turn out to be technologically meaningful entities.

Original languageEnglish
Title of host publicationPowders and Grains 2009 - Proceedings of the 6th International Conference on Micromechanics of Granular Media
Pages431-434
Number of pages4
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009 - Golden, CO, United States
Duration: 2009 Jul 132009 Jul 17

Publication series

NameAIP Conference Proceedings
Volume1145
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009
Country/TerritoryUnited States
CityGolden, CO
Period09/7/1309/7/17

Keywords

  • Equipartition theorem
  • Granular breathing
  • Secondary solitary waves
  • Solitary waves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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