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A numerical study of the statistics of transmission ($t$) and reflection ($r$) of quasi-particles from a one-dimensional disordered lasing or amplifying medium is presented. The amplification is introduced via a uniform imaginary part in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

Materials with extreme mechanical anisotropy are designed to work near a material instability threshold where they display stress channelling and strain localization, effects that can be exploited in several technologies. Extreme couple…

Mathematical Physics · Physics 2016-02-17 Panos A. Gourgiotis , Davide Bigoni

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented…

Materials Science · Physics 2015-05-13 Robert Spatschek , Clemens Gugenberger , Efim Brener

Crack propagation in viscoelastic materials has been understood with the use of Barenblatt cohesive models by many authors since the 1970's. In polymers and metal creep, it is customary to assume that the relaxed modulus is zero, so that we…

Materials Science · Physics 2020-12-17 M. Ciavarella , R. McMeeking

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

Soft Condensed Matter · Physics 2021-01-26 Vladislav A. Yastrebov

We study the propagation of guided elastic waves in a highly-stretched Ecoflex\c{opyright} plate, a nearly incompressible elastomer. The plate is subjected to a nearly-uniaxial stress with an elongation reaching 120% and we measure in-plane…

Soft Condensed Matter · Physics 2023-05-26 Alexandre Delory , Fabrice Lemoult , Antonin Eddi , Claire Prada

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

Disordered Systems and Neural Networks · Physics 2010-09-28 P. Markos

We present a numerical study of the transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations. The model is characterized by the modulation period $\kappa$ and the disorder…

Disordered Systems and Neural Networks · Physics 2023-11-20 Ba Phi Nguyen , Kihong Kim

We obtain analytically a continuum of one-dimensional ballistic extended states in a two-dimensional disordered system, which consists of compactly coupled random and pure square lattices. The extended states give a marginal metallic phase…

Disordered Systems and Neural Networks · Physics 2009-10-31 Shi-Jie Xiong , S. N. Evangelou , E. N. Economou

Multipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a stochastic process composed of the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 C. Tannous , R. Davies , A. Angus

Static or frozen disorder, characterised by spatial heterogeneities, influences diverse complex systems, encompassing many-body systems, equilibrium and nonequilibrium states of matter, intricate network topologies, biological systems, and…

Disordered Systems and Neural Networks · Physics 2025-03-24 M. Ahumada , L. Trujillo , J. F. Marín

Based on a microscopic evaluation of the local current density, a treatment of edge magnetoplasmons (EMP) is presented for confining potentials that allow Landau level (LL) flattening to be neglected. Mode damping due to electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 O. G. Balev , P. Vasilopoulos

The distribution of net electric charge in graphene is investigated, using both a constitutive atomic charge-dipole interaction model and an approximate analytical solution to Laplace's equation. We demonstrate a strong size dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 Zhao Wang , Robert W. Scharstein

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

Mathematical Physics · Physics 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

High entropy alloys present a new class of disordered metals which hold promising prospects for the next generation of materials and technology. However, much of the basic physics underlying these robust, multifunctional materials -- and…

Disordered Systems and Neural Networks · Physics 2023-11-27 Wai-Ga D. Ho , Wasim Raja Mondal , Hanna Terletska , Ka-Ming Tam , Mariia Karabin , Markus Eisenbach , Yang Wang , Vladimir Dobrosavljevic

The influence of disorder on the transmission through periodic waveguides is studied. Using a canonical form of the transfer matrix we investigate dependence of the Lyapunov exponent $\gamma$ on the frequency $\nu$ and magnitude of the…

Mathematical Physics · Physics 2019-05-30 Yuri A. Godin , Stanislav Molchanov , Boris Vainberg

Spatially exponential distributions of material properties are ubiquitous in many natural and engineered systems, from the vertical distribution of the atmosphere to acoustic horns and anti-reflective coatings. These media seamlessly…

Applied Physics · Physics 2024-04-09 Sichao Qu , Min Yang , Tenglong Wu , Yunfei Xu , Nicholas Fang , Shuyu Chen

A 1D2V open boundary Vlasov-Ampere code has been implemented with the aim of making a detailed investigation of the propagation of finite amplitude electromagnetic disturbances in an inhomogeneous magnetized plasma. The code is being…

Plasma Physics · Physics 2007-05-23 Maurizio Lontano , Laura Galeotti , Francesco Califano

Elastic effects in a model of disordered nematic elastomers are numerically investigated in two dimensions. Networks crosslinked in the isotropic phase exhibit unusual soft mechanical response against stretching. It arises from gradual…

Soft Condensed Matter · Physics 2009-10-31 Nariya Uchida

The propagation of compressional MHD waves is studied for an externally driven system. It is assumed that the combined action of the external sources and sinks of the entropy results in the harmonic oscillation of the entropy (and…

Astrophysics · Physics 2009-06-23 B. M. Shergelashvili , C. Maes , S. Poedts , T. V. Zaqarashvili