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It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

Prandtl's secondary flows of the second kind generated by laterally-varying roughness are studied using the linearised Reynolds-Averaged Navier-Stokes approach proposed in Zampino et al (2022). The momentum equations are coupled to the…

Fluid Dynamics · Physics 2024-12-18 D. Lasagna , G. Zampino , B. Ganapathisubramani

The roughness exponent of surfaces obtained by dispersing silica spheres into a quasi-two-dimensional cell is examined. The cell consists of two glass plates separated by a gap, which is comparable in size to the diameter of the beads.…

Soft Condensed Matter · Physics 2009-11-07 K. V. McCloud , M. L. Kurnaz

The spreading of liquid drops on surfaces corrugated with micron-scale parallel grooves is studied both experimentally and numerically. Because of the surface patterning, the typical final drop shape is no longer spherical. The elongation…

Soft Condensed Matter · Physics 2008-09-25 H. Kusumaatmaja , R. J. Vrancken , C. W. M. Bastiaansen , J. M. Yeomans

The free volume comprised between rough surfaces in contact governs the fluid/gas transport properties across networks of cracks and the leakage/percolation phenomena in seals. In this study, a fundamental insight into the evolution of the…

Materials Science · Physics 2016-04-19 M. Paggi , Q. -C. He

We numerically investigate the distribution of Drude weights $D$ of many-body states in disordered one-dimensional interacting electron systems across the transition to a many-body localized phase. Drude weights are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Michele Filippone , Piet W. Brouwer , Jens Eisert , Felix von Oppen

In this paper, we compute the roughness exponent zeta of a long-range elastic string, at the depinning threshold, in a random medium with high precision, using a numerical method which exploits the analytic structure of the problem…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alberto Rosso , Werner Krauth

Random deposition model with surface diffusion over several next nearest neighbours is studied. The results agree with the results obtained by Family for the case of nearest neighbour diffusion [F. Family, J. Phys. A 19(8), L441, 1986].…

Soft Condensed Matter · Physics 2008-05-07 Baisakhi Mal , Subhankar Ray , J. Shamanna

The influence of surface constraints on the self-assembly of liquid droplets is investigated. A semi-quantitative explanation for large scale pattern formation consisting of small scale closely arranged droplets inside the large scale…

Soft Condensed Matter · Physics 2019-06-28 K Nilavarasi , S G Ramkumar , V Madhurima

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

Defects in liquid crystals are of great practical importance and theoretical interest. Despite tremendous efforts, predicting the location and transition of defects under various topological constraint and external field remains to be a…

Soft Condensed Matter · Physics 2014-08-27 Yucheng Hu , Yang Qu , Pingwen Zhang

We study analytically and numerically the winding of a flux line around a columnar defect. Reflecting and absorbing boundary conditions apply to marginal or repulsive defects, respectively. In both cases, the winding angle distribution…

Condensed Matter · Physics 2009-10-28 Barbara Drossel , Mehran Kardar

We investigate the effects of roughness and fractality on the normal contact stiffness of rough surfaces. Samples of isotropically roughened aluminium surfaces are considered. The roughness and fractal dimension were altered through…

Surface roughness emerges naturally during mechanical removal of material, fracture, chemical deposition, plastic deformation, indentation, and other processes. Here, we use continuum simulations to show how roughness which is neither…

Soft Condensed Matter · Physics 2024-02-01 Lucas Frérot , Lars Pastewka

We carry out a statistically meaningful study on self-affine rough surfaces in elastic frictionless non-adhesive contact. We study the evolution of the true contact area under increasing squeezing pressure. Rough surfaces are squeezed from…

Classical Physics · Physics 2017-01-10 Vladislav A. Yastrebov , Guillaume Anciaux , Jean-François Molinari

We study the Poisson Boolean model where the grains are random convex bodies with a rotation-invariant distribution. We say that a grain distribution is dense if the union of the grains covers the entire space and robust if the union of the…

Probability · Mathematics 2024-10-18 Peter Gracar , Marilyn Korfhage , Peter Mörters

The collective diffusion of dense fluids in spatial confinement was studied by combining high-energy (21 keV) x-ray photon correlation spectroscopy and small-angle x-ray scattering from colloid-filled microfluidic channels. We found the…

Soft Condensed Matter · Physics 2016-05-04 Kim Nygard , Johan Buitenhuis , Matias Kagias , Konstantins Jefimovs , Federico Zontone , Yuriy Chushkin

Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width $W(t)$ is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2007-05-23 Joachim Krug , Martin Rost

We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by…

Mathematical Physics · Physics 2024-07-09 Josselin Garnier , Basant Lal Sharma

Recent studies have pointed out the importance of the basal friction on the dynamics of granular flows. We present experimental results on the influence of the roughness of the inclined plane on the dynamics of a monodisperse dry granular…

Soft Condensed Matter · Physics 2009-11-10 C. Goujon , N. Thomas , B. Dalloz-Dubrujeaud