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We study experimentally the interaction between two solitary waves that approach one to another in a linear chain of spheres interacting via the Hertz potential. When these counter propagating waves collide, they cross each other and a…

Other Condensed Matter · Physics 2015-05-27 F. Santibanez , R. Munoz , A. Caussarieu , S. Job , F. Melo

We perform measurements, numerical simulations, and quantitative comparisons with available theory on solitary wave propagation in a linear chain of beads without static preconstrain. By designing a nonintrusive force sensor to measure the…

General Physics · Physics 2007-05-23 Stephane Job , Francisco Melo , Adam Sokolow , Surajit Sen

We investigate the propagation and scattering of highly nonlinear waves in disordered granular chains composed of diatomic (two-mass) units of spheres that interact via Hertzian contact. Using ideas from statistical mechanics, we consider…

Pattern Formation and Solitons · Physics 2015-05-13 Laurent Ponson , Nicholas Boechler , Yi Ming Lai , Mason A. Porter , P. G. Kevrekidis , Chiara Daraio

In granular media, the characterization of the behavior of solitary waves around interfaces is of importance in order to look for more applications of these systems. We study the behavior of solitary waves at both interfaces of a symmetric…

Soft Condensed Matter · Physics 2009-11-11 Lautaro Vergara

We study the interaction of highly nonlinear solitary waves in granular crystals, with an adjacent linear elastic medium. We investigate the effects of interface dynamics on the reflection of incident waves and on the formation of primary…

Materials Science · Physics 2015-05-20 Jinkyu Yang , Claudio Silvestro , Devvrath Khatri , Luigi De Nardo , Chiara Daraio

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier

We study the propagation of an unusual type of periodic travelling waves in chains of identical beads interacting via Hertz's contact forces. Each bead periodically undergoes a compression phase followed by a free flight, due to special…

Pattern Formation and Solitons · Physics 2015-06-04 Guillaume James

We report the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arrangements of particles in experiments in which…

Pattern Formation and Solitons · Physics 2009-11-13 Mason A. Porter , Chiara Daraio , Eric B. Herbold , Ivan Szelengowicz , P. G. Kevrekidis

The propagation of a dissipative solitary wave across an interface is studied in a binary complex plasma. The experiments were performed under microgravity conditions in the PK-3 Plus Laboratory on board the International Space Station…

We study wave propagation in two-dimensional granular crystals under the Hertzian contact law consisting of hexagonal packings of spheres under various basin geometries including hexagonal, triangular, and circular basins which can be tiled…

Pattern Formation and Solitons · Physics 2019-01-01 Tianshu Hua , Robert A. Van Gorder

Asymmetric transmission of waves has received considerable attention in the last few decades, inspired by numerous applications in the domains of optics and wave communications. A possible way to achieve such asymmetry in wave propagation…

Applied Physics · Physics 2024-08-20 Carlos Vasconcellos , Stéphane Job , Francisco Melo

In this work, we study the wave propagation in a recently proposed acoustic structure, the locally resonant granular crystal. This structure is composed of a one-dimensional granular crystal of hollow spherical particles in contact,…

Pattern Formation and Solitons · Physics 2018-01-17 K. Vorotnikov , Y. Starosvetsky , G. Theocharis , P. G. Kevrekidis

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma

We study the propagation of stress waves through ordered 2D networks of granular chains. The quasi-particle continuum theory employed captures the acoustic pulse splitting, bending, and recombination through the network and is used to…

Pattern Formation and Solitons · Physics 2015-06-18 Andrea Leonard , Laurent Ponson , Chiara Daraio

We experimentally investigate the impulsive shock propagation caused by an impact into vertically oriented 3D granular packings under gravity. We observe a crossover of wave propagation, from sound excitation at low impact to shock front…

Soft Condensed Matter · Physics 2025-09-18 S. van den Wildenberg , X. Nguyen , A. Tourin , X. Jia

We study scattering of waves by impurities in strongly precompressed granular chains. We explore the linear scattering of plane waves and identify a closed-form expression for the reflection and transmission coefficients for the scattering…

Pattern Formation and Solitons · Physics 2016-06-01 Alejandro J. Martínez , Hiromi Yasuda , Eunho Kim , P. G. Kevrekidis , Mason A. Porter , Jinkyu Yang

We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) and trimer (three-mass) cell structures in one-dimensional…

Pattern Formation and Solitons · Physics 2007-12-21 Mason A. Porter , Chiara Daraio , Ivan Szelengowicz , Eric B. Herbold , P. G. Kevrekidis

We numerically investigate the problem of the propagation of a shock in an horizontal non-loaded granular chain with a bead interaction force exponent varying from unity to large values. When $\alpha$ is close to unity we observed a…

Statistical Mechanics · Physics 2015-06-25 E. Hascoet , H. Herrmann

The interaction of a solitary wave front with an interface formed by two strongly-nonlinear non-cohesive granular lattices displays rich behaviour, characterized by the breakdown of continuum equations of motion in the vicinity of the…

Soft Condensed Matter · Physics 2013-03-26 A. M. Tichler , L. R. Gomez , N. Upadhyaya , X. Campman , V. F. Nesterenko , V. Vitelli

We study the propagation of a density perturbation in a weakly interacting boson gas confined on a lattice and in the presence of square dimerized impurities. Such a two-dimensional random-dimer model (2D-DRDM), previously introduced in…

Quantum Gases · Physics 2020-01-08 Pablo Capuzzi , Patrizia Vignolo
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