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In many sliding systems consisting of solid object on a solid substrate under dry condition, the friction force does not depend on the apparent contact area and is proportional to the loading force. This behaviour is called Amontons' law…

软凝聚态物质 · 物理学 2013-04-05 Michio Otsuki , Hiroshi Matsukawa

The description of dispersion forces within the framework of macroscopic quantum electrodynamics in linear, dispersing, and absorbing media combines the benefits of approaches based on normal-mode techniques of standard quantum…

量子物理 · 物理学 2010-01-04 Stefan Yoshi Buhmann , Dirk-Gunnar Welsch

We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-frequency solutions whose propagation can be described, both…

偏微分方程分析 · 数学 2018-06-26 Umberto Biccari , Aurora Marica , Enrique Zuazua

We analyze the quantum mechanics of the friction experienced by a small system as it moves non-destructively with velocity $v$ over a surface. Specifically, we model the interactions between the system and the surface with a…

量子物理 · 物理学 2019-10-09 Daniel Grimmer , Achim Kempf , Robert B. Mann , Eduardo Martin-Martinez

We consider the problem of counting and classifying domino tilings of a quadriculated torus. The counting problem for rectangles was studied by Kasteleyn and we use many of his ideas. Domino tilings of planar regions can be represented by…

组合数学 · 数学 2016-01-26 Fillipo Impellizieri

An investigation of the dynamo instability close to the threshold produced by an ABC forced flow is presented. We focus on the on-off intermittency behavior of the dynamo and the counter-effect of the Lorentz force in the non-linear stage…

流体动力学 · 物理学 2007-10-02 Alexandros Alexakis , Yannick Ponty

We use numerical simulations to study the effect of particle friction on suspension flows of non-Brownian hard particles. By systematically varying the microscopic friction coefficient $\mu_p$ and the viscous number $J$, we build a phase…

软凝聚态物质 · 物理学 2017-07-27 M. Trulsson , E. DeGiuli , M. Wyart

We consider a random diffusion dynamics for an infinite system of hard spheres of two different sizes evolving in $\mathbb{R}^d$, its reversible probability measure, and its projection on the subset of the large spheres. The main feature is…

概率论 · 数学 2024-03-05 Myriam Fradon , Julian Kern , Sylvie Roelly , Alexander Zass

In the problem of cylinder rolling without slipping on a horizontal floor, both the cylinder and floor are generally treated as rigid bodies in normal textbooks. When the air resistance is ignored, the equation of motion has a solution with…

经典物理 · 物理学 2021-11-12 Shosuke Sasaki , Yohe Namba , Tadao Iwanari , Yasuyuki Kitano

We present a model of solids made from polygonal cells connected via beams. We calculate the macroscopic elastic moduli from the beam and cell parameters. This modellisation is particularly suited for the simulation of fragmentation…

凝聚态物理 · 物理学 2015-06-25 Ferenc Kun , Hans J. Herrmann

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…

经典物理 · 物理学 2016-01-20 Alexander Ivanov , Nadezhda Erdakova

The phenomenon of Coulombic friction enters the stochastic description of dry friction between two solids and the statistic characterization of vibrating granular media. Here we analyze the corresponding Fokker-Planck equation including…

数据分析、统计与概率 · 物理学 2015-03-17 Andreas M. Menzel , Nigel Goldenfeld

Behavior of the mixture of particles and dimers moving with different jump rates at reconstructed surfaces is described. Collective diffusion coefficient is calculated by the variational approach. Anisotropy of the collective particle…

统计力学 · 物理学 2014-05-12 Marcin Mińkowski , Magdalena A. Załuska Kotur

One of the most fundamental problems in tiling theory is the domino problem: given a set of tiles and tiling rules, decide if there exists a way to tile the plane using copies of tiles and following their rules. The problem is known to be…

离散数学 · 计算机科学 2024-02-08 Nathalie Aubrun , Manon Blanc , Olivier Bournez

Experiments on the oscillatory motion of a suspended bar magnet throws light on the damping effects acting on the pendulum. The viscous drag offered by air was found the be the main contributor for slowing the pendulum down. The nature and…

物理教育 · 物理学 2007-05-23 Akhil Arora , Rahul Rawat , Sampreet Kaur , P. Arun

In this paper, we first focus on the speed selection problem for the reaction-diffusion equation of the monostable type. By investigating the decay rates of the minimal traveling wave front, we propose a sufficient and necessary condition…

偏微分方程分析 · 数学 2024-08-21 Chang-Hong Wu , Dongyuan Xiao , Maolin Zhou

The electronic structure of heavy elements, when described in a space-time which the metric is affected by the electromagnetic interaction, presents instabilities. These instabilities increase with the atomic number, and above a critical…

综合物理 · 物理学 2007-05-23 C. C. Barros

The Game of Poker Chips, Dominoes and Survival fosters team building and high level cooperation in large groups, and is a tool applied in management training exercises. Each player, initially given two colored poker chips, is allowed to…

组合数学 · 数学 2020-09-02 Larry Goldstein

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…

物理教育 · 物理学 2024-07-10 T. Z. Lin

The supersonic motion of gravitating objects through a gaseous medium constitutes a classical problem in theoretical astrophysics. Its application covers a broad range of objects and scales from planets up to galaxies. Especially the…

星系天体物理 · 物理学 2016-04-06 Daniel Thun , Rolf Kuiper , Franziska Schmidt , Wilhelm Kley