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The starting point is the problem of finding the interaction energy of two coinciding homogeneous cubic charge distributions. The brute force method of subdividing the cube into $N^3$ sub-cubes and doing the sums results in slow convergence…

Atomic and Molecular Clusters · Physics 2007-05-23 Hanno Essen

We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a non-planar surface. While our methods…

Quantum Physics · Physics 2014-10-31 Giuseppe Bimonte , Thorsten Emig , Mehran Kardar

We study numerically the stress distribution on the interface between two thick elastic media bounded by interfaces that include spatially correlated asperities. The interface roughness is described using the self-affine topography that is…

Condensed Matter · Physics 2015-06-24 Alex Hansen , Jean Schmittbuhl , G. George Batrouni , Fernando A. Oliveira

Using Molecular Dynamics simulations of a polymer liquid flowing past flat and patterned surfaces, we investigate the influence of corrugation, wettability and pressure on slippage and friction at the solid-liquid interface. For…

Soft Condensed Matter · Physics 2013-02-22 Nikita Tretyakov , Marcus Müller

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation periods larger than the separation…

Quantum Physics · Physics 2009-11-10 E. V. Blagov , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

Investigating the geometric effects resulting from the detailed behaviors of the confining potential, we consider square and circular confinements to constrain a particle to a space curve. We find a torsion-induced geometric potential and a…

Quantum Physics · Physics 2018-04-18 Yong-Long Wang , Meng-Yun Lai , Fan Wang , Hong-Shi Zong , Yan-Feng Chen

We provide a theoretical framework to analyze the properties of frontal collisions of two growing interfaces considering different short range interactions between them. Due to their roughness, the collision events spread in time and form…

Statistical Mechanics · Physics 2019-02-05 Fabio D. A. Aarao Reis , Olivier Pierre-Louis

The concept of an active zone in Laplacian transport is used to obtain an analytical approximation for the reactive effectiveness of a pore with an arbitrary rough geometry. We show that this approximation is in very good agreement with…

Statistical Mechanics · Physics 2007-05-23 J. S. Andrade , M. Filoche , B. Sapoval

Turbulent flow over a surface with streamwise-elongated rough and smooth stripes is studied by means of direct numerical simulation (DNS) in a periodic plane open channel with fully resolved roughness. The goal is to understand how the mean…

Fluid Dynamics · Physics 2021-09-23 A. Stroh , K. Schäfer , B. Frohnapfel , P. Forooghi

Thousands of plant and animal species have been observed to have superhydrophobic surfaces that lead to various novel behaviors [1-5]. These observations have inspired attempts to create artificial superhydrophobic surfaces, given such…

Soft Condensed Matter · Physics 2015-03-13 Quanshui Zheng , Cunjing Lv , Pengfei Hao , John Sheridan

Traditional laws of friction believe that the friction coefficient of two specific solids takes constant value. However, molecular simulations revealed that the friction coefficient of nanosized asperity depends strongly on contact size and…

Materials Science · Physics 2022-08-01 X. M. Liang , G. F. Wang

The effect of surface curvature on the law relating frictional forces F with normal load L is investigated by molecular dynamics simulations as a function of surface symmetry, adhesion, and contamination. Curved, non-adhering, dry,…

Materials Science · Physics 2009-10-31 Ludger Wenning , Martin H. Muser

The noise generated by the friction of two rough surfaces under weak contact pressure is usually called roughness noise. The underlying vibration which produces the noise stems from numerous instantaneous shocks (in the microsecond range)…

Classical Physics · Physics 2013-10-22 Viet Hung Dang , Joël Perret-Liaudet , Julien Scheibert , Alain Le Bot

The Lifshitz theory provides a method to calculate the Casimir force between two flat plates if the frequency dependent dielectric function of the plates is known. In reality any plate is rough and its optical properties are known only to…

Other Condensed Matter · Physics 2015-05-27 P. J. van Zwol , V. B. Svetovoy , G. Palasantzas

We investigate, by means of the scattering approach, the Casimir-Polder interaction between a neutral anisotropic polarizable particle and a corrugated surface made of a realistic material. By focusing on the lateral force (arising from the…

Quantum Physics · Physics 2024-02-13 Lucas Queiroz

We investigate the equilibrium properties of a colloidal solution in contact with a soft interface. As a result of symmetry breaking, surface effects are generally prevailing in confined colloidal systems. In this Letter, particular…

Statistical Mechanics · Physics 2015-06-24 Hamid Kaidi , Thomas Bickel , Mabrouk Benhamou

The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the Proximity Force Approximation (PFA).…

Quantum Physics · Physics 2007-06-18 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

The wetting behaviour of surfaces is important for various applications like super-hydrophobic surfaces, enhanced oil recovery, mining of metal ores and anti-icing surfaces etc. For rough surfaces, which are the rule rather than the…

Fluid Dynamics · Physics 2023-03-17 Pawan Kumar , Dalton J. E. Harvie

A method is given for evaluating electromagnetic scattering by an irregular surface with spatially-varying impedance. This uses an operator expansion with respect to impedance variation and allows examination of its effects and the…

Classical Physics · Physics 2021-02-02 N. S. Basra , M. Spivack , O. Rath Spivack

We present a simple analytical model and an exact numerical study which explain the role of roughness on different length scales for the fluid contact angle on rough solid surfaces. We show that there is no simple relation between the…

Soft Condensed Matter · Physics 2015-10-28 Francesco Bottiglione , Giuseppe Carbone , Bo N. J. Persson