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We study the transverse instability and dynamics of bright soliton stripes in two-dimensional nonlocal nonlinear media. Using a multiscale perturbation method, we derive analytically the first-order correction to the soliton shape, which…

Pattern Formation and Solitons · Physics 2021-12-22 G. N. Koutsokostas , G. Theocharis , T. P. Horikis , P. G. Kevrekidis , D. J. Frantzeskakis

Manipulation of micro/nano particles has been well studied and demonstrated by optical, electromagnetic, and acoustic approaches, or their combinations. Manipulation of internal structure of droplet/particle is rarely explored and remains…

We investigate non-equilibrium critical phenomena using a nonperturbative renormalization group method. Reaction-diffusion processes are described by a scale dependent effective action which evolution is governed by very generic flow…

Statistical Mechanics · Physics 2011-07-19 Léonie Canet , Bertrand Delamotte , Olivier Deloubrière , Nicolas Wschebor

We investigate the impact of nonlocality, owing to diffusive behavior, on transverse instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal response turns out to have a strongly stabilizing effect both in the…

Optics · Physics 2012-02-02 Andrea Armaroli , Andrea Fratalocchi , Stefano Trillo

In recent work, we have proposed a theory for the derivation of an exact nonlinear dispersion relation for elastic wave propagation which here we consider for a thin rod (linearly nondispersive) and a thick rod (linearly dispersive). The…

Pattern Formation and Solitons · Physics 2023-12-19 Romik Khajehtourian , Mahmoud I. Hussein

In plasmonics, nonlocal effects arise when the material response to optical excitations is strongly dependent on the spatial correlations of the excitation. It is well known that a classical free electron gas system supports local Drude…

Nonlinear metasurfaces offer a new paradigm to realize optical nonlinear devices with new and unparalleled behavior compared to nonlinear crystals, due to the interplay between photonic resonances and materials properties. The complicated…

Diffusion MRI may enable non-invasive mapping of axonal microstructure. Most approaches infer axon diameters from effects of time-dependent diffusion on the diffusion-weighted MR signal by modelling axons as straight cylinders. Axons do…

Medical Physics · Physics 2019-03-13 Jan Brabec , Samo Lasic , Markus Nilsson

In this work we investigate the computation of dispersion relation (i.e., band functions) for three-dimensional photonic crystals, formulated as a parameterized Maxwell eigenvalue problem, using a novel hp-adaptive sampling algorithm. We…

Numerical Analysis · Mathematics 2024-06-18 Yueqi Wang , Richard Craster , Guanglian Li

A survey is presented of the dynamic features of non-itinerant off-center defects in crystals, such as rotation-like reorientation of isolated species by either impurity or host ions. The occurrence of off-center displacements in…

Chemical Physics · Physics 2008-12-12 Mladen Georgiev

We derive dispersion relations for a system of identical particles confined in a two-dimensional annular harmonic well and which interact through a Yukawa potential, e.g., a dusty plasma ring. When the particles are in a single chain (i.e.,…

Plasma Physics · Physics 2015-05-28 D. V. Tkachenko , T. E. Sheridan , V. R. Misko

We carried out a joint theoretical and experimental study of the polarization of high-order harmonics generated from ZnO by intense infrared laser pulses. Experimentally we found that the dependence of parallel and perpendicular…

Proper characterization of nonlinear crystals is essential for designing single photon sources. We show a technique for dispersion characterization of a nonlinear material by making use of phase matching in the process of parametric down…

Optics · Physics 2018-07-20 Marta Misiaszek , Andrzej Gajewski , Piotr Kolenderski

A one-component bistable reaction-diffusion system with asymmetric nonlocal coup ling is derived as limiting case of a two-component activator-inhibitor reaction -diffusion model with differential advection. The effects of asymmetric…

Pattern Formation and Solitons · Physics 2014-05-20 Julien Siebert , Sergio Alonso , Markus Bär , Eckehard Schöll

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

We consider a harmonically driven acoustic medium in the form of a (finite length) highly nonlinear granular crystal with an amplitude and frequency dependent boundary drive. Remarkably, despite the absence of a linear spectrum in the…

Pattern Formation and Solitons · Physics 2015-12-30 D. Pozharskiy , Y. Zhang , M. O. Williams , D. M. McFarland , P. G. Kevrekidis , A. F. Vakakis , I. G. Kevrekidis

We demonstrate that the elasticity of jammed solids is nonlocal. By forcing frictionless soft sphere packings at varying wavelength, we directly access their transverse and longitudinal compliances without resorting to curve fitting. The…

Statistical Mechanics · Physics 2017-03-08 Karsten Baumgarten , Daniel Vagberg , Brian P. Tighe

In this paper we consider the mathematical relationship between nonlocal interactions of convolution type and multiple diffusive substances in high dimensions. Motivated by that the nonlocal evolution equations reproduce similar patterns to…

Analysis of PDEs · Mathematics 2025-11-07 Hiroshi Ishii , Yoshitaro Tanaka

Historically, the field of plasmonics has been relying on the framework of classical electrodynamics, with the local-response approximation of material response being applied even when dealing with nanoscale metallic structures. However,…

Time crystals constitute a novel phase of matter defined by the spontaneous breaking of timetranslation symmetry. Here we present a scheme to realize a continuous-time crystal of the vibrational phonon in the normal mode of two coupled…

Quantum Physics · Physics 2026-04-30 Yi-Ling Zhan , Chun-Fu Liu , J. -T. Bu , K. -F Cui , S. -L. Su , L. -L. Yan , Gang Chen