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Memory encoding by cyclic shear is a reliable process to store information in jammed solids, yet its underlying mechanism and its connection to the amorphous structure are not fully understood. When a jammed sphere packing is repeatedly…

Soft Condensed Matter · Physics 2021-10-27 Francesco Arceri , Eric I. Corwin , Varda F. Hagh

We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of…

Statistical Mechanics · Physics 2007-05-23 Ellak Somfai , Jean-Noel Roux , Jacco H. Snoeijer , Martin van Hecke , Wim van Saarloos

We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a model which is discrete, in one dimension and continuous in the orthogonal one. In the linear regime, time-periodic…

Pattern Formation and Solitons · Physics 2018-06-27 R. Driben , V. V. Konotop , B. A. Malomed , T. Meier , A. V. Yulin

This study presents numerical simulations of the resonance of a finite-length granular chain of dissipative grains driven by a harmonically vibrated tube. Multiple gradual resonant modes, namely, non-resonance mode, partial-resonance mode,…

Soft Condensed Matter · Physics 2022-07-22 Tengfei Jiao , Shutian Zhang , Min Sun , Decai Huang

We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are known as inter-area oscillations. Their…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Julian Fritzsch , Philippe Jacquod

We review the properties of nonlinear, multidimensional localized waves whose stationary propagation is sustained by a dynamic equilibrium between self-focusing and nonlinear losses. Their finite-energy versions preserve light bullet…

Optics · Physics 2017-12-27 Miguel A. Porras

When a large blunt object penetrates into a granular material, the force response exhibits an initial nonlinear relationship with depth that is widely attributed to the formation of a shear jammed stagnant zone. We present an experimental…

Soft Condensed Matter · Physics 2020-02-11 Matt Harrington , Hongyi Xiao , Douglas J. Durian

Disordered packings of soft grains are fragile mechanical systems that loose rigidity upon lowering the external pressure towards zero. At zero pressure, we find that any infinitesimal strain-impulse propagates initially as a non-linear…

Soft Condensed Matter · Physics 2013-04-25 N. Upadhyaya , L. R. Gomez , V. Vitelli

Wave localization occurs in all types of vibrating systems, in acoustics, mechanics, optics, or quantum physics. It arises either in systems of irregular geometry (weak localization) or in disordered systems (Anderson localization). We…

Disordered Systems and Neural Networks · Physics 2011-07-05 Marcel Filoche , Svitlana Mayboroda

We study imaging with an array of sensors that probes a medium with single frequency electromagnetic waves and records the scattered electric field. The medium is known and homogenous except for some small and penetrable inclusions. The…

Analysis of PDEs · Mathematics 2016-09-21 Liliana Borcea , Josselin Garnier

Gravitational wave bursters are sources which emit repeatedly bursts of gravitational waves, and have been recently suggested as potentially interesting candidates for gravitational wave (GW) detectors. Mechanisms that could give rise to a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Florian Dubath , Stefano Foffa , Maria Alice Gasparini , Michele Maggiore , Riccardo Sturani

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

We define a characteristic energy density based on the measurement of the two first moments of the extrinsic injected power smoothed over time. Using the stationarity, we show that this definition characterizes an energy per degrees freedom…

Statistical Mechanics · Physics 2018-07-06 Sebastien Aumaitre , Antoine Naert

The diffusion of a pulse of small grains in an horizontal rotating drum is studied through discrete elements methods simulations. We present a theoretical analysis of the diffusion process in a one-dimensional confined space in order to…

Other Condensed Matter · Physics 2007-05-23 Nicolas Taberlet , Patrick Richard

We study the power input of a vibrating wall into a fluidized granular medium, using event driven simulations of a model granular system. The system consists of inelastic hard disks contained between a stationary and a vibrating elastic…

Condensed Matter · Physics 2009-10-28 Sean McNamara , Jean-Louis Barrat

The possibility of using ultracold atoms to observe strong localization of matter waves is now the subject of a great interest, as undesirable decoherence and interactions can be made negligible in these systems. It was proposed that a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pietro Massignan , Yvan Castin

Quantum scattering is studied in a system consisting of randomly distributed point scatterers in the strip. The model is continuous yet exactly solvable. Varying the number of scatterers (the sample length) we investigate a transition…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert Gebarowski , Petr Seba , Karol Zyczkowski , Jakub Zakrzewski

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

Discrete materials composed of masses connected by strongly nonlinear links with anomalous behavior (reduction of elastic modulus with strain) have very interesting wave dynamics. Such links may be composed of materials exhibiting…

Soft Condensed Matter · Physics 2010-08-26 Eric B Herbold , Vitali F Nesterenko

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