Nonlinear dispersive waves in repulsive lattices

Mehrem, Ahmed; Jiménez, Noé; Salmerón-Contreras, Luis J.; Garcia-Andrés, Xavier; Garcı́a-Raffi, L. M.; Picó, Rubén; Sánchez‐Morcillo, Víctor J.

doi:10.1103/physreve.96.012208

Cited by 33 publications

(19 citation statements)

References 18 publications

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“…We note the existence of the second and the third harmonic of the excitation frequency in Figure 5B,C, due to the inherent nonlinearity in magnetic lattices. Such nonlinear response can be harnessed by increasing the amplitude of the excitation and introducing defects within the lattice (Boechler et al, 2011;Mehrem et al, 2017;Deng et al, 2018;Molerón et al, 2019;Chong et al, 2020;.…”

Section: Resultsmentioning

confidence: 99%

“…This platform can be utilized to manipulate ultra-low frequency waves, within a relatively small space. The inherent nonlinear potentials between the meta-atoms can be harnessed to demonstrate phenomena with no linear parallel such as amplitude dependent response, bifurcation, chaos and solitons (Porter et al, 2015;Mehrem et al, 2017;Amendola et al, 2018;Gendelman and Vakakis, 2018;Kim and Yang, 2019;Grinberg and Matlack, 2020;Ramakrishnan and Frazier, 2020). In addition, the self-assembly of the meta-atoms can be key in creating re-programmable materials with exceptional properties (Culha et al, 2020).…”

Section: Resultsmentioning

confidence: 99%

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Demultiplexing Infrasound Phonons With Tunable Magnetic Lattices

Watkins

Bilal

2020

Front. Mater.

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Controlling infrasound signals is crucial to many processes ranging from predicting atmospheric events and seismic activities to sensing nuclear detonations. These waves can be manipulated through phononic crystals and acoustic metamaterials. However, at such ultra-low frequencies, the size (usually on the order of meters) and the mass (usually on the order of many kilograms) of these materials can hinder its potential applications in the infrasonic domain. Here, we utilize tunable lattices of repelling magnets to guide and sort infrasound waves into different channels based on their frequencies. We construct our lattices by confining meta-atoms (free-floating macroscopic disks with embedded magnets) within a magnetic boundary. By changing the confining boundary, we control the meta-atoms’ spacing and therefore the intensity of their coupling potentials and wave propagation characteristics. As a demonstration of principle, we present the first experimental realization of an infrasound phonon demultiplexer (i.e., guiding ultra-low frequency waves into different channels based on their frequencies). The realized platform can be utilized to manipulate ultra-low frequency waves, within a relatively small volume, while utilizing negligible mass. In addition, the self-assembly nature of the meta-atoms can be key in creating re-programmable materials with exceptional nonlinear properties.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Demultiplexing Infrasound Phonons With Tunable Magnetic Lattices

Watkins

Bilal

2020

Front. Mater.

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“…[ 2–5 ] The few reported experimental studies rely on their bulk interaction with properties of matter, such as neutron scattering [ 6,7 ] or by mechanical analogues of lattices. [ 8–10 ]…”

Section: Introductionmentioning

confidence: 99%

Ballistic Charge Transport by Mobile Nonlinear Excitations

Russell

Archilla

2021

Physica Rapid Research Ltrs

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The developments in hyperconductivity, the loss‐free transmission of electric charge at room temperature and above, due to the ballistic transport of electric charge in crystals with quasi‐layered structure, are reported. The electric charge is carried by quodons, a type of mobile nonlinear intrinsic localized mode of lattice excitation observed as fossil tracks in layered silicates and recently by laboratory experiments. Here, ballistic means moving with minimal scattering or interaction with phonons. A test for hyperconductivity in solid materials is developed. It is based on the unique effect of short‐term continuation of transport of charge, by total internal reflection, after creation of quodons has ceased. This effect is called the slow‐quodon‐decay effect or SQD effect. So far, only layered silicates have been shown to exhibit hyperconductivity. New evidence is presented for hyperconductivity in chrysotile, a nonlayered silicate material with new results. Being a fibrous material, it is more flexible than the sheet mica phyllosilicates. It is found that quodons can also be created and carry charge in very different materials, such as polymers, but without showing hyperconductivity, because of the very short range and lifetime of quodons in those materials.

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“…Most relevant to the present article is research on discrete breathers in Fermi-Pasta-Ulam-Tsingou (FPUT) lattices, which have nonlinear inter-site coupling [13,14]. Moreover, FPUT-like lattices with power-law potentials have been used to model a variety of mechanical systems, such as granular crystals [15][16][17][18] and (more recently) magnetic lattices [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices

Chong,

Wang,

Marechal

et al. 2020

Preprint

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We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets. In our experiments, we arrange a lattice in a hexagonal configuration with a light-mass defect, and we harmonically drive the center of the chain with a tunable excitation frequency, amplitude, and angle. We use a damped, driven variant of a vector Fermi-Pasta-Ulam-Tsingou lattice to model our experimental setup. Despite the idealized nature of the model, we obtain good qualitative agreement between theory and experiments for a variety of dynamical behaviors. We find that the spatial decay is direction-dependent and that drive amplitudes along fundamental displacement axes lead to nonlinear resonant peaks in frequency continuations that are similar to those that occur in one-dimensional damped, driven lattices. However, driving along other directions leads to the creation of asymmetric NLMs that bifurcate from the main solution branch, which consists of symmetric NLMs. When we vary the drive amplitude, we observe such behavior both in our experiments and in our simulations. We also demonstrate that solutions that appear to be time-quasi-periodic bifurcate from the branch of symmetric time-periodic NLMs.

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Nonlinear dispersive waves in repulsive lattices

Cited by 33 publications

References 18 publications

Demultiplexing Infrasound Phonons With Tunable Magnetic Lattices

Demultiplexing Infrasound Phonons With Tunable Magnetic Lattices

Ballistic Charge Transport by Mobile Nonlinear Excitations

Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices

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