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A major limitation of the weakly compressible approaches to simulate incompressible flows is the appearance of artificial acoustic waves that introduce a large mass conservation error and lead to spurious oscillations in the force…

Fluid Dynamics · Physics 2024-09-12 Dheeraj Raghunathan , Y. Sudhakar

We describe how to engineer wavefunction delocalization in disordered systems modelled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random onsite potential energies, together…

Disordered Systems and Neural Networks · Physics 2012-08-21 Alberto Rodriguez , Arunava Chakrabarti , Rudolf A. Römer

The local elastic properties of strongly disordered host material are investigated using the theory of correlated random matrices. A significant increase in stiffness is shown in the interfacial region, which thickness depends on the…

Disordered Systems and Neural Networks · Physics 2023-03-30 D. A. Conyuh , A. A. Semenov , Y. M. Beltukov

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

A consideration of waves propagating parallel to the external magnetic field is presented. The dielectric permeability tensor is derived from quantum kinetic equations with non-trivial equilibrium spin-distribution functions (NTESDF) in the…

Plasma Physics · Physics 2017-11-22 Pavel A. Andreev , L. S. Kuz'menkov

Binary disordered systems are usually obtained by mixing two ingredients in variable proportions: conductor and insulator, or conductor and super-conductor. and are naturally modeled by regular bi-dimensional or tri-dimensional lattices, on…

Other Condensed Matter · Physics 2009-11-10 Laurent Raymond , Jean-Marie Laugier , Steffen Schäfer , Gilbert Albinet

Here, we report a numerical implementation of the nonlocal homogenization approach recently proposed in [M. Silveirinha, Phys. Rev. B 75, 115104 (2007)], using the finite difference frequency-domain method to discretize the…

Materials Science · Physics 2015-05-13 Joao T. Costa , Mario G. Silveirinha , Stanislav I. Maslovski

In this paper, we develop a computational multiscale to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to approximate the full wave equation. One benefit of the…

Numerical Analysis · Mathematics 2021-04-07 Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang

We present a computational framework for two-scale asymptotic homogenization to determine the intrinsic magnetic permeability of composites. To this end, considering linear magnetostatics, both vector and scalar potential formulations are…

Materials Science · Physics 2023-01-05 Celal Soyarslan , Jos Havinga , Leon Abelmann , Ton van den Boogaard

For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate nearly vanishing scattered wave fields. If the inhomogeneous…

Analysis of PDEs · Mathematics 2017-03-08 Hongyu Liu , Yuliang Wang , Shuhui Zhong

The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade , Giuseppe Saccomandi

In the present work, the elastic constants and derived properties of tetragonal and cubic Heusler compounds were calculated using the high accuracy of the full-potential linearized augmented plane wave (FPLAPW). To find the criteria…

Materials Science · Physics 2020-09-03 Shu-Chun Wu , S. Shahab Naghavi , Gerhard H. Fecher , Claudia Felser

The optical nonlocality in symmetric metal-dielectric multilayer metamaterials is theoretically and experimentally investigated with respect to transverse-magnetic-polarized incident light. A nonlocal effective medium theory is derived from…

Optics · Physics 2015-06-02 Lei Sun , Zhigang Li , Ting S. Luk , Xiaodong Yang , Jie Gao

Recent experimental observations of anisotropic conductivity in stretched polymer electrolytes films of the polyethylene oxide family are discussed. The main experimental observations, enhancement of the ionic diffusion and conductivity in…

Soft Condensed Matter · Physics 2007-05-23 Oliver Duerr , Wolfgang Dieterich , Philipp Maas , Abraham Nitzan

The dipolar (magnetostatic) interaction dominates the behavior of spin waves in magnetic films in the long-wavelength regime. In an in-plane magnetized film, volume modes exist with a negative group velocity (backward volume magnetostatic…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 F. J. Buijnsters , L. J. A. van Tilburg , A. Fasolino , M. I. Katsnelson

The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev-Petviashvili (enKP) model through a systematic analysis of…

Pattern Formation and Solitons · Physics 2023-08-21 K. Sakkaravarthi , Sudhir Singh , N. Karjanto

We develop a new method to isolate localized defects from extended vibrational modes in disordered solids. This method augments particle interactions with an artificial potential that acts as a high-pass filter: it preserves small-scale…

Soft Condensed Matter · Physics 2017-05-01 Sven Wijtmans , M. Lisa Manning

Motivated by numerical modeling of ultrasound waves, we investigate robust conforming finite element discretizations of quasilinear and possibly nonlocal equations of Westervelt type. These wave equations involve either a strong dissipation…

Numerical Analysis · Mathematics 2024-11-05 Vanja Nikolić

Two-phase heterogeneous materials arising in a variety of natural and synthetic situations exhibit a wide-variety of microstructures and thus display a broad-spectrum effective physical properties. Given that such properties of disordered…

Materials Science · Physics 2025-03-25 Murray Skolnick , Salvatore Torquato

In this paper we study the asymptotic behavior of solutions to systems of strongly coupled integral equations with oscillatory coefficients. The system of equations is motivated by a peridynamic model of the deformation of heterogeneous…

Analysis of PDEs · Mathematics 2021-06-22 Tadele Mengesha , James M. Scott