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If a contact of two purely elastic bodies with no sliding (infinite coefficient of friction) is subjected to superimposed oscillations in the normal and tangential directions, then a specific damping appears, that is not dependent on…

Soft Condensed Matter · Physics 2015-12-29 M. Popov , V. L. Popov , R. Pohrt

We present results of Molecular Dynamics (MD) calculations on the behavior of liquid nanodroplets on rough hydrophobic and hydrophilic solid surfaces. On hydrophobic surfaces, the contact angle for nanodroplets depends strongly on the root…

Soft Condensed Matter · Physics 2008-05-07 C. Yang , U. Tartaglino , B. N. J. Persson

Wetting is a widespread phenomenon, most prominent in a number of cases, both in nature and technology. Droplets of pure water with initial radius ranging from 20 to 80 [\AA] spreading on graphitic surfaces are studied by molecular dynamics…

Chemical Physics · Physics 2012-08-28 Danilo Sergi , Giulio Scocchi , Alberto Ortona

Advancing and receding angles are physical quantities frequently measured to characterize the wetting properties of a rough surface. Thermodynamically, the advancing and receding angles are often interpreted as the maximum and minimum…

Soft Condensed Matter · Physics 2019-12-12 Donggyu Kim , Keonwook Kang , Seunghwa Ryu

When a drop of liquid comes into contact with a solid surface, it relaxes towards an equilibrium configuration, either wetting the surface or remaining in a droplet-like shape with a finite contact angle. The force driving the process…

Soft Condensed Matter · Physics 2025-11-27 Niklas Wolf , Nico van der Vegt

Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy state does not always exist and the system may undergo a…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , C. Rosier , C. Sire

In this work, the motion of a 2-D drop on a surface with given wettability gradient is studied numerically by a hybrid lattice-Boltzmann finite-difference method using the multiple-relaxation-time collision model. We incorporate the…

Fluid Dynamics · Physics 2014-12-09 Jun-Jie Huang , Haibo Huang , Xinzhu Wang

Break of radial symmetry for interaction energy minimizers is a phenomenon where a radial interaction potential whose associated energy minimizers are never radially symmetric. Numerically, it has been frequently observed for various types…

Analysis of PDEs · Mathematics 2024-12-31 Ruiwen Shu

In an effort to study the stability of contact lines in fluids, we consider the dynamics of an incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2017-10-25 Yan Guo , Ian Tice

A simple but general analysis of stability of axis-symmetric adhesive contacts is provided. Adhesion is considered in the JKR-approximation. Depending on the shape of the contacting bodies, various scenarios are possible, including…

Soft Condensed Matter · Physics 2017-07-26 Valentin L. Popov

We theoretically investigate the apparent contact angle of droplets on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited droplet. We provide an intuitive geometrical interpretation whereby the…

Soft Condensed Matter · Physics 2021-05-12 Ciro Semprebon , Muhammad Subkhi Sadullah , Glen McHale , Halim Kusumaatmaja

Adhesive contact between a thin elastic sheet and a substrate in a liquid environment arises in a range of biological, physical and technological applications. By considering the dynamics of this process that naturally couples fluid flow,…

Fluid Dynamics · Physics 2015-08-26 Andreas Carlson , Shreyas Mandre , L. Mahadevan

Since Hertz's pioneering work in 1882, contact mechanics traditionally grounds on linear elasticity, assuming small strains and displacements. However, recent experiments clearly highlighted linear elasticity limitations in accurately…

Soft Condensed Matter · Physics 2025-03-13 M. Ceglie , G. Violano , L. Afferrante , N. Menga

The surface of a liquid near a moving contact line is highly curved owing to diverging viscous forces. Thus, microscopic physics must be invoked at the contact line and matched to the hydrodynamic solution farther away. This matching has…

Fluid Dynamics · Physics 2009-11-10 Jens Eggers

We consider the dynamics of the disordered, one-dimensional, symmetric zero range process in which a particle from an occupied site $k$ hops to its nearest neighbour with a quenched rate $w(k)$. These rates are chosen randomly from the…

Statistical Mechanics · Physics 2009-11-07 Mustansir Barma , Kavita Jain

The position of an interface (domain wall) in a medium with random pinning defects is not determined unambiguously by a current value of the driving force even in average. Based on general theory of the interface motion in a random medium…

Disordered Systems and Neural Networks · Physics 2009-11-10 Thomas Nattermann , Valery Pokrovsky

Contact force--indentation depth measurements in contact experiments involving compliant materials, such as polymers and gels, show a hysteresis loop whose size depends on the maximum indentation depth. This depth-dependent hysteresis (DDH)…

Soft Condensed Matter · Physics 2018-03-26 Weilin Deng , Haneesh Kesari

We studied the dynamics of an object sliding down on a semi-sphere with radius $R$. We consider the physical setup where the semi-sphere is free to move over a flat surface. For simplicity, we assume that all surfaces are friction-less. We…

Classical Physics · Physics 2022-05-17 Roberto A. Lineros

Densities of particles on $\Rn$ which interact pairwise through an attractive-repulsive power-law potential $W_{\al,\bt}(x) = |x|^\al/\al-|x|^\bt/\bt$ have often been used to explain patterns produced by biological and physical systems. In…

Mathematical Physics · Physics 2022-12-14 Cameron Davies , Tongseok Lim , Robert J. McCann

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo