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We have investigated the motion characteristics of a movable piston immersed in a one dimensional gas of hard rods by event-oriented molecular dynamics in the absence of thermal noise. Periodic and reflecting boundary conditions are…

Soft Condensed Matter · Physics 2014-09-12 M. Ebrahim Foulaadvand , M. Mehdi Shafiee

We study acoustic modes of a close-packed hexagonal lattice of spheres adhered to a substrate, propagating along a high-symmetry direction. The model, accounting for both normal and shear coupling between the spheres and between the spheres…

We investigate the motion of a hard cylinder rolling down a soft inclined plane. The cylinder is subjected to a viscous drag force and stochastic fluctuations due to the surrounding medium. In a wide range of parameters we observe…

Materials Science · Physics 2009-11-10 Thorsten Poeschel , Nikolai V. Brilliantov , Alexei Zaikin

In this paper, we consider the dynamics of a heavy homogeneous ball moving under the influence of dry friction on a fixed horizontal plane. We assume the ball to slide without rolling. We demonstrate that the plane may be divided into two…

Classical Physics · Physics 2016-01-20 Alexander Ivanov , Nadezhda Erdakova

This paper presents a simple ball-and-spring model for the propagation of small amplitude vibrations in a granular material. In this model, the positional disorder in the sample is ignored and the particles are placed on the vertices of a…

Condensed Matter · Physics 2009-10-22 Michael Leibig

The directional motion of sessile drops can be induced by slanted mechanical vibrations of the substrate. As previously evidenced \cite{Brunet07,Brunet09,Noblin09}, the mechanical vibrations induce drop deformations which combine…

Fluid Dynamics · Physics 2020-02-12 Maxime Costalonga , Philippe Brunet

The motion of a thin elastic plate interacting with a viscous fluid is investigated. A periodic force acting on the plate is considered, which in a setting without damping could lead to a resonant response. The interaction with the viscous…

Analysis of PDEs · Mathematics 2021-03-02 Aday Celik , Mads Kyed

The rolling motion of a rigid cylinder on an inclined flat viscous surface is investigated and the nonlinear resistance force against rolling, $F_R(v)$, is derived. For small velocities $F_R(v)$ increases with velocity due to increasing…

Materials Science · Physics 2007-05-23 Thorsten Poeschel , Thomas Schwager , Nikolai Brilliantov , Alexei Zaikin

We study a model for the movement of surfaces, namely the conserved, restricted solid-on-solid model. The surface configurations are restricted such that the difference between the heights at adjacent sites is no more than one. In addition…

Mathematical Physics · Physics 2019-09-30 Anamaria Savu

We investigate the dynamics of a dimer bouncing on a vertically oscillated plate. The dimer, composed of two spheres rigidly connected by a light rod, exhibits several modes depending on initial and driving conditions. The first excited…

Classical Physics · Physics 2016-09-08 S. Dorbolo , D. Volfson , L. Tsimring , A. Kudrolli

This contribution reports on numerical simulations of 2D granular flows on erodible beds. The broad aim is to investigate whether simple flows of model granular matter exhibits spontaneous oscillatory motion in generic flow conditions, and…

Soft Condensed Matter · Physics 2012-11-27 Lydie Staron

We present a Langevin approach to describe the steady-state dynamics of one-dimensional granular media fluidized by a vibrating bottom plate. We adopt a linear Langevin equation to describe the motion of the center of mass. Within this…

Soft Condensed Matter · Physics 2010-03-29 Jun'ichi Wakou , Akinori Ochiai , Masaharu Isobe

We introduce two models, the Fermi-Ulam model in an external field and a one dimensional system of bouncing balls in an external field above a periodically oscillating plate. For both models we investigate the possibility of unbounded…

Dynamical Systems · Mathematics 2009-10-28 Tyll Krüger , L. D. Pustyl'nikov , Serge Troubetzkoy

We are concerned with a one dimensional flow of a compressible fluid which may be seen as a simplification of the flow of fluid in a long thin pipe. We assume that the pipe is on one side ended by a spring. The other side of the pipe is let…

Analysis of PDEs · Mathematics 2023-06-29 Sabrine Chebbi , Václav Mácha , Šárka Nečasová

Molecular dynamical (MD) simulations are performed to simulate two dimensional vibrofluidized granular materials in this work. Statistics on simulation results indicate that there exist shocks propagating upward in each vibrating cycle.…

Soft Condensed Matter · Physics 2007-05-23 Kai Huang , Guoqing Miao , Peng Zhang , Yifei Zhu , Rongjue Wei

We consider conformation of a chain consisting of beads connected by stiff springs, where the conformation is determined by the bending angles between the consecutive two springs. A conformation is stabilized or destabilized not only by a…

Chaotic Dynamics · Physics 2023-07-12 Yoshiyuki Y. Yamaguchi

In this article the one-dimensional, overdamped motion of a classical particle is considered, which is coupled to a thermal bath and is drifting in a quenched disorder potential. The mobility of the particle is examined as a function of…

Condensed Matter · Physics 2016-08-31 Stefan SCHEIDL

It was recently observed in a numerical study on a high order perturbation method under heavy fluid loading that a loaded vibrating plate results, not only in the classical frequency shift of the in vacuo single resonance (in both the real…

Classical Physics · Physics 2010-04-26 Pierre-Olivier Mattei

The dynamics of a spring-block train placed on a moving conveyor belt is investigated both by simple experiments and computer simulations. The first block is connected by spring to an external static point, and due to the dragging effect of…

Chaotic Dynamics · Physics 2016-05-20 Bulcsú Sándor , Ferenc Járai-Szabó , Tamás Tél , Zoltán Néda

Like in liquids, objects moving in granular materials experience a drag force. We investigate here whether and how the object acceleration affect this drag force. The study is based on simulations of a canonical drag test, which involves…

Soft Condensed Matter · Physics 2019-07-15 Shivakumar Athani , Pierre Rognon
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