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We consider the motion of a discrete random surface interacting by exclusion with a random wall. The heights of the wall at the sites of $\Z^d$ are i.i.d.\ random variables. Fixed the wall configuration, the dynamics is given by the serial…

Probability · Mathematics 2007-05-23 L. R. G. Fontes , M. Vachkovskaia , A. Yambartsev

In this work we study the problem of one-dimensional elastic collisions of billiard balls, considered as rigid bodies, in a framework very different from the classical one presented in text books. Implementing the notion of impedance…

Classical Physics · Physics 2012-12-07 Janilo Santos , Bruna P. W. de Oliveira , Osman Rosso Nelson

We report an experimental, numerical and theoretical study of the motion of a ball on a rough inclined surface. The control parameters are $D$, the diameter of the ball, $\theta$, the inclination angle of the rough surface and $E_{ki}$, the…

Soft Condensed Matter · Physics 2009-10-30 C. Henrique , M. A. Aguirre , A. Calvo , I. Ippolito , S. Dippel , G. G. Batrouni , D. Bideau

We use numerical simulations to study the phase behavior of a system of purely repulsive soft dumbbells as a function of size ratio of the two components and their relative degree of deformability. We find a plethora of different phases…

Soft Condensed Matter · Physics 2011-06-16 Andela Šarić , Behnaz Bozorgui , Angelo Cacciuto

A collision of viscoelastic bodies is analysed within a mathematically rigorous approach. We develop a perturbation scheme to solve continuum mechanics equation, which deals simultaneously with strain and strain rate in the bulk of the…

Statistical Mechanics · Physics 2015-05-22 Nikolay V. Brilliantov , Anastasiya V. Pimenova , Denis S. Goldobin

We describe a simple mechanical system, a ball rolling along a specially-designed landscape, that mimics the dynamics of a well known phenomenon, the two-bounce resonance of solitary wave collisions, that has been seen in countless…

Chaotic Dynamics · Physics 2015-06-24 Roy H. Goodman , Aminur Rahman , Michael Bellanich , Catherine Morrision

A two-dimensional system of particles with tunable repulsive interactions is experimentally investigated. Soft ferromagnetic particles are placed on a vibrating rough plate and vertically confined, so that they perform a horizontal Brownian…

Soft Condensed Matter · Physics 2015-06-19 Simon Merminod , Michaël Berhanu , Eric Falcon

We study the impact of a body against a rigid wall. The body consists of a rigid block and a viscoelastic rod described by the fractional Zener model. Translatory motion of a body is influenced by the dry friction, described by the…

Classical Physics · Physics 2013-10-16 Dusan Zorica , Miodrag Zigic , Nenad Grahovac

We report a new theory of dissipative forces acting between colliding viscoelastic bodies. The impact velocity is assumed not to be large, to avoid plastic deformations and fragmentation at the impact. The bodies may be of an arbitrary…

Soft Condensed Matter · Physics 2015-11-10 Denis S. Goldobin , Eugeniy A. Susloparov , Anastasiya V. Pimenova , Nikolai V. Brilliantov

Putting several hard balls into a two-dimensional bowl can form a very basic two-dimensional model of hard-ball system. When the two-dimensional bowl has a parallel-rotation at a uniform speed around a center, when the number of balls is…

Physics Education · Physics 2024-07-10 T. Z. Lin

The laws of friction are reasonably well understood for the case of blocks in contact with rough plane surfaces. However, as far as bodies with circular sections are concerned, the physics of friction becomes more involving and it is not…

Soft Condensed Matter · Physics 2013-10-01 A. L. O. Bilobran , R. M. Angelo

A model of the gravitational dipole is proposed in a close analogy to that of the global monopole. The physical properties and the range of validity of the model are examined as is the motion of test particles in the dipole background. It…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Waldemar Puszkarz

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 experimentally study the behavior of a particle slightly denser than the surrounding liquid in solid body rotating flow. Earlier work revealed that a heavy particle has an unstable equilibrium point in unbounded rotation flows. In the…

Fluid Dynamics · Physics 2015-06-11 Yoshiyuki Tagawa , Jarich van der Molen , Leen van Wijngaarden , Chao Sun

Thermodynamics and dynamics of a classical two-dimensional system with dipole-like isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical…

Soft Condensed Matter · Physics 2018-03-02 Sergey Khrapak , Nikita Kryuchkov , Stanislav Yurchenko

We investigate hydrodynamic interaction effects between colloidal particles in the vicinity of a wall in the low Reynolds-number limit. Hydrodynamically interacting pairs of beads being dragged by a force parallel to a wall, as for instance…

Soft Condensed Matter · Physics 2013-09-09 Steffen Schreiber , Jochen Bammert , Philippe Peyla , Walter Zimmermann

A simple relation is developed between elastic collisions of freely-moving point particles in one dimension and a corresponding billiard system. For two particles with masses m_1 and m_2 on the half-line x>0 that approach an elastic barrier…

Physics Education · Physics 2009-11-10 S. Redner

The system of polymers in solvent mixtures is a widely-used model to represent biomolecular condensates in intracellular environments. Here, we apply a variational theory to control the center-of-mass of two polymers and perform the first…

Soft Condensed Matter · Physics 2025-02-28 Luofu Liu , Rui Wang

We describe a three-dimensional geometry that exhibits a repulsive Casimir force using ordinary metallic materials, as computed via an exact numerical method (no uncontrolled approximations). The geometry consists of a zippelike,…

We give an example of a geometry in which the electrostatic force between a point charge and a neutral metallic object is repulsive. The example consists of a point charge centered above a thin metallic hemisphere, positioned concave up. We…

Classical Physics · Physics 2011-08-26 Michael Levin , Steven G. Johnson
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