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These lecture notes cover the statics and glassy dynamics of granular media. Most of the lectures were in fact devoted to `force propagation' models. We discuss the experimental and theoretical motivations for these approaches, and their…

Condensed Matter · Physics 2007-05-23 J-P Bouchaud

A remarkable feature of static granular matter is the distribution of force along intricate networks. Even regular inter-particle contact networks produce wildly inhomogeneous force networks where certain "chains" of particles carry forces…

Soft Condensed Matter · Physics 2008-01-24 John F. Wambaugh

In a recent paper [P. Strasberg and M. Esposito, Phys. Rev. E {\bf 101}, 050101(R) (2020)] an attempt is presented to formulate the nonequilibrium thermodynamics of an open system in terms of the Hamiltonian of mean force. The purpose of…

Statistical Mechanics · Physics 2021-01-04 Peter Talkner , Peter Hänggi

We study the joint probability distribution of normal and tangential frictional forces in jammed granular media, $P_{\mu}(f_t, f_n)$, for various friction coefficient $\mu$, especially when $\mu = \infty$. A universal scaling law is found…

Soft Condensed Matter · Physics 2010-11-18 Ping Wang , Chaoming Song , Christopher Briscoe , Kun Wang , Hernan A. Makse

Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic-half space, which is subject to normal and uniaxial tangential surface tractions that - in the case of elastic decoupling - correspond to…

Materials Science · Physics 2023-10-13 Emanuel Willert

We measure the local contact forces at both the top and bottom boundaries of three-dimensional face-centered-cubic and hexagonal-close-packed granular crystals in response to an external force applied to a small area at the top surface.…

Soft Condensed Matter · Physics 2009-11-07 Nathan W. Mueggenburg , Heinrich M. Jaeger , Sidney R. Nagel

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

Analysis of PDEs · Mathematics 2019-02-19 Leonard Kreutz , Paolo Piovano

A simple model for solid friction is analyzed. It is based on tangential springs representing interlocked asperities of the surfaces in contact. Each spring is given a maximal strain according to a probability distribution. At their maximal…

Materials Science · Physics 2007-05-23 Z. Farkas , S. R. Dahmen , D. E. Wolf

Dynamics of systems of structured particles consisting of potentially interacting material points is considered in the framework of classical mechanics. Equations of interaction and motion of structured particles have been derived. The…

General Physics · Physics 2012-05-14 V. M. Somsikov

It has been proposed by Ngan [Phys. Rev. E 68, 011301 (2003)] that the granular contact force distribution may be analytically derived by minimizing the analog of a thermodynamic free energy, in this case consisting of the total potential…

Statistical Mechanics · Physics 2009-11-10 Philip Metzger

The aim of this paper is to revisit the calculation of atom-surface quantum friction in the quantum field theory formulation put forward by Barton [New J. Phys. 12 (2010) 113045]. We show that the power dissipated into field excitations and…

Experiments on the motion of a particle on an inclined rough plane have yielded some surprising results. For example, it was found that the frictional force acting on the ball is viscous, {\it i.e.} proportional to the velocity rather than…

Condensed Matter · Physics 2009-10-28 G. G. Batrouni , S. Dippel , L. Samson

A comment on the recently published article (PRL 79, 3166 (1997)) is given. The issue is if there is a unique self-consistent way in determining the effective medium in a random medium. The recently introduced effective medium theory (PRL…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Soukoulis , K. Busch , M. Kafesaki , E. N. Economou

Impact dynamics is measured for spherical and cylindrical projectiles of many different densities dropped onto a variety non-cohesive granular media. The results are analyzed in terms of the material-dependent scaling of the inertial and…

Soft Condensed Matter · Physics 2013-05-30 H. Katsuragi , D. J. Durian

In the present letter a method to find a proper expression for the force distribution inside a granular sample in static equilibrium is proposed. The method is based in statistical mechanics and the force distribution is obtained by…

Computational Physics · Physics 2015-03-13 S. A. Galindo-Torres

Quantum friction, the electromagnetic fluctuation-induced frictional force decelerating an atom which moves past a macroscopic dielectric body, has so far eluded experimental evidence despite more than three decades of theoretical studies.…

Quantum Physics · Physics 2017-06-28 J. Klatt , M. B. Farias , D. A. R. Dalvit , S. Y. Buhmann

The friction force, friction coefficients and the effects on the dynamics of particles, bodies and systems, are fundamental themes in university physics of the first cycles and also in general physics courses of upper secondary education in…

Physics Education · Physics 2024-10-01 Mauricio López-Reyes

Using numerical simulations it is shown that a jammed, random pack of soft frictional grains can store an arbitrary waveform that is applied as a small time-dependent shear while the system is slowly compressed. When the system is…

Soft Condensed Matter · Physics 2023-07-12 D. Candela

A clear understanding of body force densities due to external electromagnetic fields is necessary to study flow and deformation of materials exposed to the fields. In this paper, we derive an expression for stress in continua with viscous…

Fluid Dynamics · Physics 2013-05-28 Amey Joshi

We present particle-resolved simulations of dense frictional suspensions undergoing the viscous-inertial transition using pressure-imposed rheology. By varying the fluid viscosity, shear rate, and granular pressure, we find that the…