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In this paper, we consider time-harmonic elastic wave scattering governed by the Lam\'e system. It is known that the elastic wave field can be decomposed into the shear and compressional parts, namely, the pressure and shear waves that are…

Analysis of PDEs · Mathematics 2015-09-15 Hongyu Liu , Jingni Xiao

A theoretical approach to the influence of one-dimensional lattice fluctuations on electronic properties in weakly localized spin-Peierls systems is proposed using the renormalization group and the functional integral techniques. The…

Condensed Matter · Physics 2009-10-28 Claude Bourbonnais , Benoit Dumoulin

Band formation in periodic media is a central topic in undergraduate solid-state physics, typically introduced through Bloch's theorem as an eigenvalue problem in reciprocal space for infinitely periodic systems. While mathematically…

Computational Physics · Physics 2026-04-07 Nishant Kashyap , Amit Tanwar , Vivek T. Ramamoorthy , Pragati Ashdhir

We study long surface and internal ring waves propagating in a stratified fluid over a parallel shear flow. The far-field modal and amplitude equations for the ring waves are presented in dimensional form. We re-derive them from the…

Fluid Dynamics · Physics 2021-09-30 Curtis Hooper , Karima Khusnutdinova , Roger Grimshaw

This work investigates the propagation of elastic waves in periodic Kelvin-cell chains, focusing on symmetry-breaking geometric modifications induced by twisting the cell's faces. By imposing such twists, the original lattice topology is…

The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular the the layers. Incremental…

Soft Condensed Matter · Physics 2015-06-03 Gal Shmuel , Gal deBotton

The analytical solution is given for a vibrating rigid core sphere, oscillating up and down without volume change, situated at the center of an elastic material spherical shell, which in turn is situated inside an infinite (possible…

Geophysics · Physics 2022-02-18 Evert Klaseboer , Qiang Sun

Wrinkling instabilities of thin elastic sheets can be used to generate periodic structures over a wide range of length scales. Viscosity of the thin elastic sheet or its surrounding medium has been shown to be responsible for dynamic…

Soft Condensed Matter · Physics 2024-01-25 Veit Krause , Axel Voigt

This paper deals with flow-induced shape transitions of elastic capsules. The state of the art concerning both theory and experiments is briefly reviewed starting with dynamically induced small deformation of initially spherical capsules…

Soft Condensed Matter · Physics 2011-04-25 Reimar Finken , Steffen Kessler , Udo Seifert

We study the nonlinear wave dynamics of one-dimensional chains of polycatenated rings. These interlocked structures support amplitude-dependent nonlinear wave propagation driven by tensile activation and internal structural flexibility,…

Soft Condensed Matter · Physics 2026-05-25 Xiaoxiao Xiong , Reo Yanagi , Tingtao Zhou , Chiara Daraio

In certain circumstances, chiral (parity-violating) medium can be described hydrodynamically as a chiral fluid with microscopic quantum anomalies. Possible examples of such systems include strongly coupled quark-gluon plasma, liquid helium…

High Energy Physics - Theory · Physics 2017-04-03 Tigran Kalaydzhyan , Elena Murchikova

The dynamics of a Lamb-Oseen vortex dipole in a viscoelastic fluid are investigated, with emphasis on asymmetry, coupling strength, and transverse shear waves relevant to strongly coupled dusty plasmas. Dusty plasmas provide a natural…

Plasma Physics · Physics 2026-05-21 Vipul B Rohit , Vikram Dharodi , Sharad K Yadav

We study in this work the 2D dynamics of an experimental system of disk-shaped rotors, fluidized by turbulent upflow. Contrary to previous knowledge, our experiments show the same particle chiral geometry can produce flows with different…

We study the propagation of electromagnetic waves in a chiral fluid, where the molecules are described by a simplified version of the Kuhn coupled oscillator model. The eigenmodes of Maxwell's equations are circularly polarized waves. The…

Physics Education · Physics 2008-03-05 T. Garel

The formation of nonlinear Bloch states in open driven-dissipative system of exciton-polaritons loaded into a weak-contrast 1D periodic lattice is studied numerically and analytically. The condensate is described within the framework of…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 I. Yu. Chestnov , A. V. Yulin , A. P. Alodjants , O. A. Egorov

We study the dynamics of fronts in parametrically forced oscillating lattices. Using as a prototypical example the discrete Ginzburg-Landau equation, we show that much information about front bifurcations can be extracted by projecting onto…

Pattern Formation and Solitons · Physics 2008-01-18 Diego Pazó , Ernesto M. Nicola

General properties of conservative hydrodynamic-type models are treated from positions of the canonical formalism adopted for liquid continuous media, with applications to the compressible Eulerian hydrodynamics, special- and…

Fluid Dynamics · Physics 2009-11-10 Victor P. Ruban

We present an effective theory for the Bloch functions of a two-dimensional square lattice near a quadratic degeneracy point. The degeneracy is protected by the symmetries of the crystal, and breaking these symmetries can either open a…

Optics · Physics 2010-12-22 Y. D. Chong , Xiao-Gang Wen , Marin Soljacic

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are…

Applied Physics · Physics 2024-07-31 Samuel P. Wallen , Michael R. Haberman , Washington DeLima

We study, experimentally, the dynamics of a binary mixture of air-fluidized disks. The disks are chiral since they incorporate a set of blades with constant tilt. Both species are identical except for their blades tilt angle, which is…

Soft Condensed Matter · Physics 2022-10-05 Miguel Ángel López-Castaño , Álvaro Rodríguez-Rivas , Francisco Vega Reyes