Traveling and solitary waves in monodisperse and dimer granular chains

Show simple item record

dc.contributor.author Starosvetsky, Yuli
dc.contributor.author Jayaprakash, K. R.
dc.contributor.author Vakakis, Alexander F.
dc.date.accessioned 2017-03-15T12:47:30Z
dc.date.available 2017-03-15T12:47:30Z
dc.date.issued 2017-03
dc.identifier.citation Starosvetsky, Yuli; Jayaprakash, K. R. and Vakakis, Alexander F., “Traveling and solitary waves in monodisperse and dimer granular chains”, International Journal of Modern Physics B: condensed Matter Physics; Statistical Physics; Atomic, Molecular and Optical Physics, DOI: 10.1142/S0217979217420012, Mar. 2017. en_US
dc.identifier.issn 0217-9792
dc.identifier.issn 1793-6578
dc.identifier.uri http://repository.iitgn.ac.in/handle/123456789/2711
dc.identifier.uri http://dx.doi.org/10.1142/S0217979217420012
dc.description.abstract We provide a review of propagating traveling waves and solitary pulses in uncompressed one-dimensional (1d1d) ordered granular media. The first such solution in homogeneous granular media was discovered by Nesterenko in the form of a single-hump solitary pulse with energy-dependent profile and velocity. Considering directly the discrete, strongly nonlinear governing equations of motion of these media (i.e., without resorting to continuum approximation or homogenization), we show the existence of countably infinite families of stable multi-hump propagating traveling waves with arbitrary wavelengths. A semi-analytical approach is used to study the dependence of these waves on spatial periodicity (wavenumber) and energy, and to show that in a certain asymptotic limit, these families converge to the single-hump Nesterenko solitary wave. Then the study is extended in dimer granular chains composed of alternating “heavy” and “light” beads. For a set of specific mass ratios between the light and heavy beads, we show the existence of multi-hump solitary waves that propagate faster than the Nesterenko solitary wave in the corresponding homogeneous granular chain composed of only heavy beads. The existence of these waves has interesting implications in energy transmission in ordered granular chains. en_US
dc.description.statementofresponsibility by Yuli Starosvetsky, K. R. Jayaprakash and Alexander F. Vakakis
dc.language.iso en_US en_US
dc.publisher World Scientific Publishing en_US
dc.subject Solitary pulse en_US
dc.subject Dimer chain en_US
dc.title Traveling and solitary waves in monodisperse and dimer granular chains en_US
dc.type Article en_US
dc.relation.journal International Journal of Modern Physics B: condensed Matter Physics; Statistical Physics; Atomic, Molecular and Optical Physics


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search Digital Repository


Browse

My Account