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We study the effect of surface scattering on transport properties in many-mode conducting channels (electron waveguides). Assuming a strong roughness of the surface profiles, we show that there are two independent control parameters that…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. M. Izrailev , N. M. Makarov , M. Rendon

Determining the positions of lattice defects on elastic surfaces with Gaussian curvature is a non-trivial task of mechanical energy optimization, particularly for surfaces with boundaries. We introduce a simple way to predict the onset of…

Soft Condensed Matter · Physics 2020-08-19 Siddhansh Agarwal , Sascha Hilgenfeldt

The surface morphology of metal influences its optical absorptivity. Recent experiments have demonstrated that the femtosecond laser induced surface structures on metals could be dynamically controlled by the fluence of laser and the number…

Applied Physics · Physics 2018-11-14 Muhammad Zubair , Yee Sin Ang , Kelvin J. A. Ooi , L. K. Ang

Galaxy lenses are frequently modeled as an elliptical mass distribution with external shear and isothermal spheres to account for secondary and line-of-sight galaxies. There is statistical evidence that some fraction of observed quads are…

Astrophysics of Galaxies · Physics 2021-04-14 Matthew R. Gomer , Liliya L. R. Williams

A statistic based on increment ratios (IR) and related to zero crossings of increment sequence is defined and studied for measuring the roughness of random paths. The main advantages of this statistic are robustness to smooth additive and…

Statistics Theory · Mathematics 2010-07-26 Jean-Marc Bardet , Donatas Surgailis

Generated under hurricane conditions, a slip layer composed of foam, bubble emulsion, and spray determines the behavior of the surface drag with wind speed. This study enables us to estimate foam's contribution to this behavior. A…

Atmospheric and Oceanic Physics · Physics 2024-04-29 Ephim Golbraikh , Yuri M. Shtemler

We calculate the scaling exponents of the two-dimensional correlated percolation cluster's hull and unscreened perimeter. Correlations are introduced through an underlying correlated random potential, which is used to define the state of…

Statistical Mechanics · Physics 2013-03-05 Indrek Mandre , Jaan Kalda

A finite element approach to the elastic flow of a curve coupled with a diffusion equation on the curve is analysed. Considering the graph case, the problem is weakly formulated and approximated with continuous linear finite elements, which…

Numerical Analysis · Mathematics 2017-07-28 Paola Pozzi , Björn Stinner

Cosmic shear estimation is an essential scientific goal for large galaxy surveys. It refers to the coherent distortion of distant galaxy images due to weak gravitational lensing along the line of sight. It can be used as a tracer of the…

Machine Learning · Computer Science 2021-04-21 Claire Theobald , Bastien Arcelin , Frédéric Pennerath , Brieuc Conan-Guez , Miguel Couceiro , Amedeo Napoli

The aperture mass has been shown in a series of recent publications to be a useful quantitative tool for weak lensing studies, ranging from cosmic shear to the detection of a mass-selected sample of dark matter haloes. Quantitative…

Astrophysics · Physics 2011-05-23 Katrin Reblinsky , Guido Kruse , Bhuvnesh Jain , Peter Schneider

Triangles are everywhere in the virtual world. The surface of nearly every graphical object is saved as a triangular mesh on a computer. Light effects and movements of virtual objects are computed on the basis of triangulations. Besides…

History and Overview · Mathematics 2023-07-27 Dimitris Vartziotis , Doris Bohnet

We show that the driving force behind the regularizing effect of Laplacian smoothing on surface elements is the popular mean ratio quality measure. We use these insights to provide natural generalizations to polygons and polyhedra. The…

Optimization and Control · Mathematics 2014-06-18 Dimitris Vartziotis , Benjamin Himpel

In this article: a) a method is developed for calculating volumetric diagrams of elastic scattering of microparticles (in particular, electrons and photons) on single-layer and multi-layer statistically uneven surfaces; b) the diffraction…

General Physics · Physics 2021-04-06 Mikhail Batanov-Gaukhman

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

Multiple image gravitational lens systems, and especially quads are invaluable in determining the amount and distribution of mass in galaxies. This is usually done by mass modeling using parametric or free-form methods. An alternative way…

Astrophysics of Galaxies · Physics 2015-10-28 Addishiwot G. Woldesenbet , Liliya L. R. Williams

The texture is defined as spatial structure of the intensities of the pixels in an image that is repeated periodically in the whole image or regions, and makes the concept of the image. Texture, color and shape are three main components…

Image and Video Processing · Electrical Eng. & Systems 2022-08-04 Faeze Kiani

In this paper, we study gravitational lensing by groups of galaxies. Since groups are abundant and therefore have a large covering fraction on the sky, lensing by groups is likely to be very important observationally. Besides, it has…

Astrophysics · Physics 2009-11-07 Ole Moller , Priyamvada Natarajan , Jean-Paul Kneib , Andrew Blain

Consider a real-valued function that can only be observed with stochastic noise at a finite set of design points within a Euclidean space. We wish to determine whether there exists a convex function that goes through the true function…

Other Statistics · Statistics 2018-07-30 Nanjing Jian , Shane G. Henderson

When the thickness of the layer is smaller than the electrons mean free path, the morphology affects the conductivity directly based on the layer thickness. This issue provides basis in order to estimate the thickness of the layer by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 M. Jannesar , G. R. Jafari , S. Vasheghani Farahani , S. Moradi

Experiments on the motion of a particle on an inclined rough plane have yielded some surprising results. For example, it was found that the frictional force acting on the ball is viscous, {\it i.e.} proportional to the velocity rather than…

Condensed Matter · Physics 2009-10-28 G. G. Batrouni , S. Dippel , L. Samson