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We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is…

Fluid Dynamics · Physics 2013-09-03 Miguel D. Bustamante , Brenda Quinn

A reduced 1D model describing the non-linear hybrid LIGKA/HAGIS simulations was developed and successfully tested in [Carlevaro et al. PPCF 64, 035010 (2022)] addressing the ITER 15MA baseline scenario. In this paper, we introduce a…

Plasma Physics · Physics 2024-09-20 Nakia Carlevaro , Matteo V. Falessi , Giovanni Montani , Philipp Lauber

The main purpose of this work is to address the question of the utility of "effective constitutive relations" for problems in dynamics. This is done in the context of longitudinal shear waves in an elastic medium that is periodically…

Materials Science · Physics 2013-11-18 John Willis

We derive the nonlinear fractional surface wave equation that governs compression waves at an interface that is coupled to a viscous bulk medium. The fractional character of the differential equation comes from the fact that the effective…

Fluid Dynamics · Physics 2017-11-29 Julian Kappler , Shamit Shrivastava , Matthias F. Schneider , Roland R. Netz

Spoof surface waves are demonstrated theoretically to propagate along periodic corrugated surfaces made of non-conductive lossless materials with positive permittivity. An analytic derivation of the Spoof surface wave dispersion relation is…

Optics · Physics 2022-11-30 Mathieu Poulin , Maksim Skorobogatiy

This work establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes…

Chaotic Dynamics · Physics 2007-07-31 Srihari Keshavamurthy

We theoretically study the electromagnetic energy transfer between donor and acceptor molecules near a graphene waveguide. The surface plasmons (SPs) supported by the structure provide decay channels which lead to an improvement in the…

Optics · Physics 2019-05-22 Julieta Olivo , Carlos J. Zapata--Rodríguez , Mauro Cuevas

We perform explicit time-dependent classical and quantum propagation of a spatially indirect exciton (SIX) driven by surface acoustic waves (SAWs) in a semiconductor heterostructure device. We model the SIX dynamics at different levels of…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 Federico Grasselli , Andrea Bertoni , Guido Goldoni

We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to different populations may be characterised by different…

Analysis of PDEs · Mathematics 2021-09-28 Chiara Giverso , Tommaso Lorenzi , Luigi Preziosi

A novel approach to study transmission through waveguides in terms of optical streamlines is presented. This theoretical framework combines the computational performance of beam propagation methods with the possibility to monitor the…

Optics · Physics 2012-04-12 A. S. Sanz , J. Campos-Martinez , S. Miret-Artes

Turbulence in a system of nonlinearly interacting waves is referred to as wave turbulence. It has been known since seminal work by Kolmogorov, that turbulent dynamics is controlled by a directional energy flux through the wavelength scales.…

Fluid Dynamics · Physics 2014-04-07 L. V. Abdurakhimov , I. A. Remizov , A. A. Levchenko , G. V. Kolmakov , Y. V. Lvov

We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass and rigidity interface parameters are modulated in time.…

Mathematical Physics · Physics 2026-03-31 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to…

Classical Physics · Physics 2016-03-02 Giuseppe Rosi , Nicolas Auffray

We study the effect of surface temperature oscillations on diffusive transport of solutes of weaklysoluble substances through liquid-saturated porous media. Temperature wave induced by these oscillations and decaying deep in the porous…

Geophysics · Physics 2015-05-22 Pavel V. Krauzin , Denis S. Goldobin

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to…

Classical Physics · Physics 2020-07-15 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

General equations describing shear displacements in incompressible hyperelastic materials, holding for an arbitrary form of strain energy density function, are presented and applied to the description of nonlinear Love-type waves…

Exactly Solvable and Integrable Systems · Physics 2026-03-20 Shawn Samuel Carl McAdam , Samuel Opoku Agyemang , Alexei Cheviakov

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

Analysis of PDEs · Mathematics 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

This note analytically investigates non-reciprocal wave dispersion in locally resonant acoustic metamaterials. Dispersion relations associated with space-time varying modulations of inertial and stiffness parameters of the base material and…

Applied Physics · Physics 2018-01-11 M. A. Attarzadeh , H. Al Ba'ba'a , M. Nouh

Guiding and confining light at interfaces is crucial for applications involving light-matter interactions such as surface spectroscopy, nonlinear optics, and quantum information technology. While dielectric surface waves offer promising…