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We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and uniqueness results…

Mathematical Physics · Physics 2024-01-26 M. Agaoglou , M. Feckan , M. Pospisil , V. M. Rothos , H. Susanto

Competing ground states may lead to topologically constrained excitations such as domain walls or quasiparticles, which govern metastable states and their dynamics. Domain walls and more exotic topological excitations are well studied in…

Soft Condensed Matter · Physics 2021-06-09 Carl Merrigan , Cristiano Nisoli , Yair Shokef

We experimentally achieve selective wave filtering and polarization control in a three-dimensional elastic frame embedding local resonators. By connecting multi-resonating elements to a frame structure, a complete low-frequency,…

Classical Physics · Physics 2024-06-19 Jacopo M. De Ponti , Emanuele Riva , Francesco Braghin , Raffaele Ardito

The phenomenon of selective diffraction is extended to in-plane elastic waves and we design surface corrugated periodic laminates that incorporate crystal momentum transfer which, due to the rich physics embedded within the vector elastic…

Applied Physics · Physics 2021-02-24 Gregory J. Chaplain , Richard V. Craster

We study the hydrodynamics of spherical spinners suspended in a Newtonian fluid at inertial regime. We observe a spontaneous condensation of the spinners into particle rich regions, at low but finite particle Reynolds numbers and volume…

Soft Condensed Matter · Physics 2020-04-01 Zaiyi Shen , Juho S. Lintuvuori

We investigate the properties of single vortices and of vortex lattice in a rotating dipolar condensate. We show that vortices in this system possess many novel features induced by the long-range anisotropic dipolar interaction between…

Other Condensed Matter · Physics 2009-11-11 S. Yi , H. Pu

We theoretically investigate elastic waves propagating in metamaterials with simultaneous zero indices for both the longitudinal and transverse waves. With scattering objects (here cylinders) present in the metamaterials slabs, while the…

Materials Science · Physics 2015-09-29 Fengming Liu , Zhengyou Liu

We consider a periodic lattice structure in $d=2$ or $3$ dimensions with unit cell comprising $Z$ thin elastic members emanating from a similarly situated central node. A general theoretical approach provides an algebraic formula for the…

Materials Science · Physics 2014-10-09 Andrew N. Norris

Following a recent demonstration of stable trapping of floating particles by stationary (monochromatic) structured water waves [Nature 638, 394 (2025)], we report dynamic water-wave tweezers that enable controllable transport of trapped…

We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We…

Statistical Mechanics · Physics 2016-03-17 Tom Oakes , Juan P. Garrahan , Stephen Powell

A method to derive homogeneous effective constitutive equations for periodically layered elastic media is proposed. The crucial and novel idea underlying the procedure is that the coefficients of the dynamic effective medium can be…

Materials Science · Physics 2011-04-22 A. L. Shuvalov , A. A. Kutsenko , A. N. Norris , O. Poncelet

The structure of spiral waves is investigated in super-excitable reaction-diffusion systems where the local dynamics exhibits multi-looped phase space trajectories. It is shown that such systems support stable spiral waves with broken…

chao-dyn · Physics 2015-06-24 Andrei Goryachev , Raymond Kapral

A numerical study on the elastic response of single- and multi-layer systems formed by alternating pentamode lattices and stiffening plates is presented. Finite element simulations are conducted to analyze the dependence of the effective…

Applied Physics · Physics 2020-01-08 A. Amendola , G. Carpentieri , L. Feo , F. Fraternali

We demonstrate experimentally the generation of square and hexagonal lattices of optical vortices and reveal their propagation in a saturable nonlinear medium. If the topological charges of the vortices are of the same sign the lattice…

Pattern Formation and Solitons · Physics 2009-11-07 Alexander Dreischuh , Sotir Chervenkov , Dragomir Neshev , Gerhard G. Paulus , Herbert Walther

Numerical simulations shed light on control of shear elastic wave propagation in plates structured with inertial resonators. The structural element is composed of a heavy core connected to the main freestanding plate through tiny ligaments.…

Materials Science · Physics 2015-07-21 Younes Achaoui , André Diatta , Sébastien Guenneau

It is shown that stationary vortex structures can be excited in a ferrite film. This is the first proposal for creating vortex structures in the important cm and mm wavelength ranges. It is shown that both linear and nonlinear structures…

The transformation method is a powerful tool for providing the constitutive parameters of the transformed material in the new coordinates. In transformation elasticity, a general curvilinear change of coordinates transforms conventional…

Applied Physics · Physics 2021-04-30 Yangyang Chen , Hussein Nassar , Guoliang Huang

The motive of this work is to understand the complex spatial characteristics of finite-amplitude elastic wave propagation in periodic structures and leverage the unique opportunities offered by nonlinearity to activate complementary…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

Elastic waves scattering off a periodic single and double array of thin cylindrical defects is considered for isotropic materials. An analytical expression for the scattering matrix is obtained by means of the Lippmann-Schwinger formalism…

Classical Physics · Physics 2022-10-18 Omer Haq , Sergei Shabanov

Steering waves in elastic solids is more demanding than steering waves in electromagnetism or acoustics. As a result, designing material distributions which are the counterpart of optical invisibility cloaks in elasticity poses a major…

Materials Science · Physics 2019-06-10 Muamer Kadic , Martin Wegener , Andre Nicolet , Frederic Zolla , Sebastien Guenneau , Andre Diatta