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Related papers: Depletion forces between non-spherical objects

200 papers

We calculate the second and third virial coefficients of the effective sphere-sphere interaction due to polymer depletion. By utilizing the anisotropy of a typical polymer conformation, we can consider polymers that are roughly the same…

Soft Condensed Matter · Physics 2009-10-31 Mario Triantafillou , Randall D. Kamien

We propose a deterministic particle method for a one-dimensional nonlocal equation with interactions through the repulsive Morse potential. We show that the particle method converges as the number of particles goes to infinity towards weak…

Analysis of PDEs · Mathematics 2024-01-22 Marco Di Francesco , Valeria Iorio , Markus Schmidtchen

The depletion interaction between two parallel repulsive walls confining a dilute solution of long and flexible polymer chains is studied by field-theoretic methods. Special attention is paid to self-avoidance between chain monomers…

Soft Condensed Matter · Physics 2009-11-07 F. Schlesener , A. Hanke , R. Klimpel , S. Dietrich

We derive a connection between the intrinsic tribological properties and the electronic properties of a solid interface. In particular, we show that the adhesion and frictional forces are dictated by the electronic charge redistribution…

Other Condensed Matter · Physics 2018-07-17 M. Wolloch , G. Levita , P. Restuccia , M. C. Righi

In this work, we question the generally accepted statement that the character of intermolecular interactions can be directly determined from the scaling exponent. Based on detailed studies of polyatomic molecular systems with precisely…

Soft Condensed Matter · Physics 2024-02-14 Filip Kaśkosz , Kajetan Koperwas , Andrzej Grzybowski , Marian Paluch

We study the surface area of an ellipsoid in n-dimensional Euclidean space as the function of the lengths of their major semi-axes. We write down an explicit formula as an integral over the unit sphere, use the formula to derive convexity…

Metric Geometry · Mathematics 2007-05-23 Igor Rivin

In this paper we report on some new results concerning the behavior of forces between two equal circular electrodes with finite thickness. We show that for close electrodes different scenarios can result, depending on the thickness and on…

Classical Physics · Physics 2018-01-26 Giampiero Paffuti

We consider a system where a spherical particle is suspended in a nematic liquid crystal confined between two walls. We calculate the liquid-crystal mediated potential of mean force between the sphere and a substrate by means of Monte Carlo…

Soft Condensed Matter · Physics 2009-11-07 Evelina B. Kim , Roland Faller , Qiliang Yan , Nicholas L. Abbott , Juan J. de Pablo

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

We consider forces acting on objects immersed in, or attached to, long fluctuating polymers. The confinement of the polymer by the obstacles results in polymer-mediated forces that can be repulsive (due to loss of entropy) or attractive (if…

Statistical Mechanics · Physics 2017-08-28 Yacov Kantor , Mehran Kardar

We analyze flow of non-Newtonian fluids in a Hele-Shaw cell, subjected to spatially non-uniform electroosmotic slip. Motivated by their potential use for increasing the characteristic pressure fields, we specifically focus on power-law…

Fluid Dynamics · Physics 2016-11-23 Evgeniy Boyko , Moran Bercovici , Amir D. Gat

The surface tension of interacting polymers in a good solvent is calculated theoretically and by computer simulations for a planar wall geometry and for the insertion of a single colloidal hard-sphere. This is achieved for the planar wall…

Soft Condensed Matter · Physics 2016-08-31 A. A. Louis , P. G. Bolhuis , E. J. Meijer , J. P. Hansen

In this work I derive analytic expressions for the curvature dependent fluid-substrate surface tension of a hard sphere fluid on a hard curved wall. In a first step, the curvature thermodynamic properties are found as truncated power series…

Soft Condensed Matter · Physics 2014-04-23 Ignacio Urrutia

It is nearly impossible to separate two interleaved phonebooks when held by their spines. A full understanding of this astonishing demonstration of solid friction in complex assemblies has remained elusive. In this Letter, we report on…

Oscillatory flows have become an indispensable tool in microfluidics, inducing inertial effects for displacing and manipulating fluid-borne objects in a reliable, controllable, and label-free fashion. However, the quantitative description…

We calculate the van der Waals friction between two semi-infinite solids in normal relative motion and find a drastic difference in comparison with the parallel relative motion. The case of the good conductors is investigated in details…

Materials Science · Physics 2009-11-11 A. I. Volokitin , B. N. J. Persson

This work belongs to the framework of inverse problems with linear model. The resolution of this type of problem consists in minimizing (possibly under constraints) a function of discrepancy between the measurements and a physical model of…

Information Theory · Computer Science 2021-09-28 Henri Lantéri

In this paper, it is presented a methodology to estimate the deformation involved between two objects attending to its physical properties. This methodology can be used, for example, in Computational Vision or Computer Graphics…

Graphics · Computer Science 2012-06-28 Joao Manuel R. S. Tavares , Raquel R. Pinho

We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies. We derive an asymptotic expansion in inverse powers of the…

Numerical Analysis · Mathematics 2023-07-19 Marissa Condon , Alfredo Deano , Jing Gao , Arieh Iserles

We prove a weighted a priori energy estimate for the two dimensional water-waves problem with contact points in the absence of gravity and surface tension. When the surface graph function and its time derivative have some decay near the…

Analysis of PDEs · Mathematics 2024-02-01 Mei Ming