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A combination of first principle molecular dynamics (MD) simulations with a rate equation model (MD-RE approach) is presented to study the trapping and the scattering of rare gas atoms from metal surfaces. The temporal evolution of the atom…

Statistical Mechanics · Physics 2018-09-10 A Filinov , M Bonitz , D Loffhagen

This work presents a new approach to efficiently model the cathode in the moving boundary value problem of electrochemical machining. Until recently, the process simulation with finite elements had the drawback of remeshing required by the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-12 Tim van der Velden , Stephan Ritzert , Stefanie Reese , Johanna Waimann

We present a general model study of surface-enhanced resonant Raman scattering and fluorescence, focusing on the interplay between electromagnetic (EM) effects and the molecular dynamics as treated by a density matrix calculation. The model…

Other Condensed Matter · Physics 2007-05-23 Peter Johansson , Hongxing Xu , Mikael Käll , ;

Size, morphology and distributions of pores in organic matters of shale matrix are discussed based on high resolution images from experiments in the literature. 150 nanoscale structures of the organic matters are then reconstructed by…

Fluid Dynamics · Physics 2014-10-09 Li Chen , Qinjun Kang , Lei Zhang , Wenquan Tao

Laterally periodic nanostructures were investigated with grazing incidence small angle X-ray scattering. To support an improved reconstruction of nanostructured surface geometries, we investigated the origin of the contributions to the…

Mesoscale and Nanoscale Physics · Physics 2016-07-21 Victor Soltwisch , Anton Haase , Jan Wernecke , Juergen Probst , Max Schoengen , Sven Burger , Michael Krumrey , Frank Scholze

We propose a model for partially ballistic MOSFETs and for channel backscattering that is alternative to the well known Lundstrom model and is more accurate from the point of view of the actual energy distribution of carriers. The key point…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Gino Giusi , Giuseppe Iannaccone , Felice Crupi

We report elastic scattering theory for surface electron waves in quantum corrals defined by adatoms on the surface of noble metals. We develop a scattering-matrix technique that allows us to account for a realistic smooth potential profile…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. I. Rahachou , I. V. Zozoulenko

We propose an extension of the Allen-Cahn model for pattern synthesis on two dimensional curved surfaces. This model is based on a single PDE and it offers improved ability of controlling the type of generated surface patterns via the…

Numerical Analysis · Mathematics 2020-08-19 Lorina Dascal , Gautam Pai , Ron Kimmel

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

The sp3d5s*-spin-orbit-coupled atomistic tight-binding (TB) model is used for the electronic structure calculation of Si nanowires (NWs), self consistently coupled to a 2D Poisson equation, solved in the cross section of the NW. Upon…

Materials Science · Physics 2013-09-19 Neophytos Neophytou , Oskar Baumgartner , Zlatan Stanojevic , Hans Kosina

This work presents a novel approach to efficiently model anodic dissolution in electrochemical machining. Earlier modeling approaches employ a strict space discretization of the anodic surface that is associated with a remeshing procedure…

Computational Engineering, Finance, and Science · Computer Science 2021-07-12 Tim van der Velden , Bob Rommes , Andreas Klink , Stefanie Reese , Johanna Waimann

We study numerically scattering and transport statistical properties of the one-dimensional Anderson model at the metal-insulator transition described by the Power-law Banded Random Matrix (PBRM) model at criticality. Within a scattering…

Disordered Systems and Neural Networks · Physics 2010-11-02 J. A. Mendez-Bermudez , Victor A. Gopar , Imre Varga

The mobility of surface electrons localized over helium films underlying solid substrates has been evaluated by solving the Boltzmann equation in the time relaxation approximation and the force balance equation in which an effective…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Debora Coimbra , Sviatoslav S. Sokolov , J. -P. Rino , Nelson Studart

The low-temperature series for the surface width of the Absolute value Solid-On-Solid model and the Discrete Gaussian model both on the square lattice and on the triangular lattice are generated to high orders using the improved…

High Energy Physics - Lattice · Physics 2009-10-30 H. Arisue

We present a first-principles derivation of spatial atomic-sublevel decoherence near dielectric and metallic surfaces. The theory is based on the electromagnetic-field quantization in absorbing dielectric media. We derive an expression for…

Quantum Physics · Physics 2007-05-23 R. Fermani , S. Scheel , P. L. Knight

We consider a PDE approach to numerically solving the optimal transportation problem on the sphere. We focus on both the traditional squared geodesic cost and a logarithmic cost, which arises in the reflector antenna design problem. At each…

Numerical Analysis · Mathematics 2021-07-09 Brittany Froese Hamfeldt , Axel G. R. Turnquist

In this paper, we show that suitable transport noises produce anomalous dissipation of both enstrophy of solutions to 2D Navier-Stokes equations and of energy of solutions to diffusion equations in all dimensions. The key ingredients are…

Analysis of PDEs · Mathematics 2025-10-10 Antonio Agresti

Metallic quantum criticality often develops in strongly correlated systems with local effective degrees of freedom. In this work, we consider an Anderson lattice model with SU(2) symmetry. The model is treated by the extended dynamical…

Strongly Correlated Electrons · Physics 2020-04-10 H. Hu , A. Cai , Q. Si

With the recent important development of microfluidic systems, miniaturization of flow devices has become a real challenge. Microchannels, however, are characterized by a large surface to volume ratio, so that surface properties strongly…

Materials Science · Physics 2009-11-10 Cecile Cottin-Bizonne , Jean-Louis Barrat , Lyderic Bocquet , Elisabeth Charlaix

We consider the inverse obstacle scattering problem of determining both the shape and the "equivalent impedance" from far field measurements at a fixed frequency. In this work, the surface impedance is represented by a second order surface…

Numerical Analysis · Mathematics 2013-07-24 Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar