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Perturbative corrections to the Casimir free energy due to macroscopic roughness of dielectric interfaces are obtained in the framework of an effective low-energy field theory. It describes the interaction of electromagnetic fields with…

Quantum Physics · Physics 2014-05-14 Hua Yao Wu , Martin Schaden

Surface roughness has a huge impact on many important phenomena. The most important property of rough surfaces is the surface roughness power spectrum C(q). We present surface roughness power spectra of many surfaces of practical…

Materials Science · Physics 2007-05-23 B. N. J. Persson , O. Albohr , U. Tartaglino , A. I. Volokitin , E. Tosatti

The Casimir and electromagnetic interactions between objects at short separations are strongly influenced by the local geometry near the point of closest approach. In this paper we demonstrate that the assumptions underlying common…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 René I. P. Sedmik , Attaallah Almasi , Davide Iannuzzi

We evaluate the electrostatic interaction energy between two surfaces, one flat and the other slightly curved, in terms of the two-point autocorrelation functions for patch potentials on each one of them, and of a single function $\psi$…

High Energy Physics - Theory · Physics 2015-06-17 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We show that roughness or surface modulations change the distance dependence of (power-law) interactions between curved objects at proximity. The modified scaling law is then simply related to the order of the first non-vanishing…

Quantum Physics · Physics 2014-11-04 Matthias Krüger , Vladyslav A. Golyk , Giuseppe Bimonte , Mehran Kardar

This paper presents a new method for the efficient numerical computation of Casimir interactions between objects of arbitrary geometries, composed of materials with arbitrary frequency-dependent electrical properties. Our method formulates…

Quantum Physics · Physics 2013-08-27 M. T. Homer Reid , Jacob White , Steven G. Johnson

To investigate the role of long-range van der Waals interactions in static friction, we derive an analytic expression for the coefficient of static friction $\mu_s$ between two thin layers of polarizable materials under zero load. For…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Ram Narayanan , Prachi Parashar , K. V. Shajesh , S. Vijayakumar

We model numerically the partial normal contact of two elastic rough surfaces with highly correlated asperities. Facing surfaces are unmated and described as self-affine with a Hurst exponent H. The numerical algorithm is based on Fourier…

Condensed Matter · Physics 2007-05-23 G. George Batrouni , Alex Hansen , Jean Schmittbuhl

Realistic fluid-solid interaction potentials are essential in description of confined fluids especially in the case of geometric heterogeneous surfaces. Correlated random field is considered as a model of random surface with high geometric…

Statistical Mechanics · Physics 2017-05-24 Aleksey Khlyupin , Timur Aslyamov

We develop a systematic field theoretic description for the roughness correction to the Casimir free energy of parallel plates. Roughness is modeled by specifying a generating functional for correlation functions of the height profile, the…

High Energy Physics - Theory · Physics 2015-03-19 Hua Yao Wu , Martin Schaden

Due to their collective nature Casimir forces can strongly depend on the geometrical shape of the interacting objects. We study the effect of strong periodic shape deformations of two ideal metal plates on their quantum interaction. A…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig

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

Soft and biological matter come in a variety of shapes and geometries. When soft surfaces that do not fit into each other due to a mismatch in Gaussian curvatures form an interface, beautiful geometry-induced patterns emerge. In this paper,…

Soft Condensed Matter · Physics 2024-04-05 Aashna Chawla , Deepak Kumar

Liquid wetting of a surface is omnipresent in nature and the advance of micro-fabrication and assembly techniques in recent years offers increasing ability to control this phenomenon. Here, we identify how surface roughness influences the…

The effect of random surface roughness on quantum size effect in thin films is discussed. The conductivity of quantized metal films is analyzed for different types of experimentally identified correlation functions of surface…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. V. Ponomarev , A. E. Meyerovich

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition…

Soft Condensed Matter · Physics 2020-05-27 Harukuni Ikeda , Carolina Brito , Matthieu Wyart , Francesco Zamponi

Shapes of colloids matter at liquid interfaces. We explore the interactions between rough-surfaced nanocolloids at the air--water interface through the compaction of monolayers experimentally and numerically. Sufficiently rough systems…

Soft Condensed Matter · Physics 2023-05-17 Airi N. Kato , Yujie Jiang , Wei Chen , Ryohei Seto , Tao Li

We study a new mechanism of wave/electron scattering in multi-mode surface-corrugated waveguides/wires. This mechanism is due to specific square-gradient terms in an effective Hamiltonian describing the surface scattering, that were…

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

A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated to their shapes.…

Classical Physics · Physics 2015-06-03 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Relating microstructure to properties, electromagnetic, mechanical, thermal and their couplings has been a major focus of mechanics, physics and materials science. The majority of the literature focuses on deriving homogenized constitutive…

Mesoscale and Nanoscale Physics · Physics 2011-12-30 P. Mohammadi , L. Liu , P. Sharma , R. V. Kukta
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