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We are interested in generating surfaces with arbitrary roughness and forming patterns on the surfaces. Two methods are applied to construct rough surfaces. In the first method, some superposition of wave functions with random frequencies…

Numerical Analysis · Mathematics 2024-01-12 Siqing Li , Leevan Ling , Steven J. Ruuth , Xuemeng Wang

The measurement of real contact area between rough surfaces is one of most challenge problems in contact mechanics and is of importance to understand some physical mechanisms in tribology. Based on the frustrated total internal reflection,…

Applied Physics · Physics 2021-07-08 Lei-Tao Li , Xuan-Ming Liang , Yu-Zhe Xing , Duo Yan , Gang-Feng Wang

The effect of self-affine roughness on solid contact is examined with molecular dynamics and continuum calculations. The contact area and normal and lateral stiffnesses rise linearly with the applied load, and the load rises exponentially…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Sreekanth Akarapu , Tristan Sharp , Mark O. Robbins

The primordial power spectrum of curvature perturbations has been well-measured on large scales but remains fairly unconstrained at smaller scales, where significant deviations from $\Lambda$CDM may occur. Measurements of 21-cm intensity…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-14 Jessie de Kruijf , Eleonora Vanzan , Kimberly K. Boddy , Alvise Raccanelli , Nicola Bartolo

We introduce a corrective function to compensate errors in contact area computations coming from mesh discretization. The correction is based on geometrical arguments and requires only one additional quantity to be computed: the length of…

Soft Condensed Matter · Physics 2017-04-24 Vladislav A. Yastrebov , Guillaume Anciaux , Jean-Francois Molinari

We revisit the power spectrum analysis of the complete sample of the two degree field (2dF) QSO redshift (2QZ) survey, as a complementary test of the work by Outram et al. (2003). A power spectrum consistent with that of the 2QZ group is…

Astrophysics · Physics 2009-11-10 Kazuhiro Yamamoto

Some spectral data analysis methods that are useful for the two-dimensional imaging diagnostics data are introduced. It is shown that the frequency spectrum, the local dispersion relation, the flow shear, and the nonlinear energy transfer…

Data Analysis, Statistics and Probability · Physics 2019-08-28 Minjun J. Choi

We present a model for one-dimensional (1D) matter power spectra in redshift space as estimated from data provided along individual lines of sight. We derive analytic expressions for these power spectra in the linear and nonlinear regimes,…

Astrophysics · Physics 2009-11-10 Vincent Desjacques , Adi Nusser

We consider the response of an adsorbed polymer that is pulled by an AFM within a simple geometric framework. We separately consider the cases of i) fixed polymer-surface contact point, ii) sticky case where the polymer is peeled off from…

Soft Condensed Matter · Physics 2009-11-11 Andreas Serr , Roland R. Netz

The electrical characterisation of graphene, either in plane sheets or in properly geometrised form can be approached using non-contact methods already employed for thin film materials. The extraordinary thinness (and, correspondingly, the…

Applied Physics · Physics 2020-07-29 Alexandra Fabricius , Alessandro Cultrera , Alessandro Catanzaro

This work deals with the sensitivity to the plate roughness of Lamb waves. An experimental study is performed involving an air-coupling transducer system. Signal processing allows us to extract the Lamb waves characteristics: phase velocity…

Classical Physics · Physics 2023-04-21 Damien Leduc , Bruno Morvan , Pascal Pareige , Jean-Louis Izbicki

A novel method for measuring the surface coverage of randomly distributed cylindrical nanoparticles such as nanorods and nanowires, using atomic force microscopy (AFM), is presented. The method offers several advantages over existing…

Materials Science · Physics 2018-07-12 Francesca Bottacchi , Stefano Bottacchi , Thomas D. Anthopoulos

We discuss surface roughness effects on the conduction of electrons in metals using both the quantal Kubo-Greenwood formalism and the semi-classical Fuchs-Sondheimer method. The main purpose here is to compare these methods and clarify a…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Hai-Yao Deng

We introduce a non-perturbative two scale Kirchhoff theory, in the context of light scattering by a rough surface. This is a two scale theory which considers the roughness both in the wavelength scale (small scale) and in the scales much…

Data Analysis, Statistics and Probability · Physics 2009-11-11 G. R. Jafari , P. Kaghazchi , R. S. Dariani , A. Iraji zad , S. M. Mahdavi , M. Reza Rahimi Tabar , N. Taghavinia

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different…

Condensed Matter · Physics 2009-10-31 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

Adhesion control at the interface of two surfaces is crucial in various applications, including the design of micro- and nanodevices such as microfluidic devices, triboelectric nanogenerators, biochips, and electronic sensors. Several…

Soft Condensed Matter · Physics 2025-07-15 Susheel Kumar , Krishnacharya Khare , Manjesh K. Singh

An approach is introduced for the non-parametric reconstruction of the statistical properties of penetrable, isotropic randomly rough surfaces from in-plane, co-polarized light scattering data. Starting from expressions within the Kirchhoff…

Optics · Physics 2021-10-13 Verónica P. Simonsen , Dick Bedeaux , Ingve Simonsen

We develop an analytical model of adhesive wear between two unlubricated rough surfaces, forming micro-contacts under normal load. The model is based on an energy balance and a crack initiation criteria. We apply the model to the problem of…

Soft Condensed Matter · Physics 2021-08-02 Son Pham-Ba , Jean-François Molinari

We propose a new method to investigate interactions involved in atomic force microscopy (AFM). It is a dynamical method relying on the growth of oscillations via parametric resonance. With this method the second and third derivatives of the…

Materials Science · Physics 2007-05-23 Franz-Josef Elmer

Intensity mapping is a promising technique for surveying the large scale structure of our Universe from $z=0$ to $z \sim 150$, using the brightness temperature field of spectral lines to directly observe previously unexplored portions of…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Adrian Liu , Yunfan Zhang , Aaron R. Parsons
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