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This article presents a statistical-mechanical treatment of a relationship (the force equation) between the gravitational potential for two particles and the correlation functions in a relaxed distribution of particles with different…

Astrophysics · Physics 2011-05-23 Martin Lopez Corredoira

We investigate a rheological property of a dense granular material under shear. By a numerical experiment of the system with constant volume, we find a critical volume fraction at which the shear stress and the pressure behave as power-law…

Statistical Mechanics · Physics 2009-11-11 Takahiro Hatano , Michio Otsuki , Shin-ichi Sasa

In order to understand the nature of friction in closely-packed granular materials, a discrete element simulation on granular layers subjected to isobaric plain shear is performed. It is found that the friction coefficient increases as the…

Soft Condensed Matter · Physics 2007-06-15 Takahiro Hatano

We study the mass-density relationship n ~ m^x in molecular cloud condensations (clumps), considering various equipartition relations between their gravitational, kinetic, internal and magnetic energies. Clumps are described statistically,…

Solar and Stellar Astrophysics · Physics 2015-05-20 Sava Donkov , Todor Veltchev , Ralf S. Klessen

Generalizing recent work on isotropic tensor fields in isotropic and achiral condensed matter systems from two to arbitrary dimensions we address both mathematical aspects assuming perfectly isotropic systems and applications focusing on…

Soft Condensed Matter · Physics 2024-10-22 J. P. Wittmer

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

An ensemble approach for force networks in static granular packings is developed. The framework is based on the separation of packing and force scales, together with an a-priori flat measure in the force phase space under the constraints…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jacco H. Snoeijer , Thijs J. H. Vlugt , Wouter G. Ellenbroek , Martin van Hecke , J. M. J. van Leeuwen

A system of inelastic hard disks in a thin pipe capped by hot walls is studied with the aim of investigating velocity correlations between particles. Two effects lead to such correlations: inelastic collisions help to build localized…

patt-sol · Physics 2009-10-31 Tong Zhou

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

This is the first paper of a series of three, reporting on numerical simulation studies of geometric and mechanical properties of static assemblies of spherical beads under an isotropic pressure. Frictionless systems assemble in the unique…

Disordered Systems and Neural Networks · Physics 2008-02-01 Ivana Agnolin , Jean-Noël Roux

The number of allowed configurations of a polymer is reduced by the presence of a repulsive surface resulting in an entropic force between them. We develop a method to calculate the entropic force, and detailed pressure distribution, for…

Statistical Mechanics · Physics 2014-02-11 Yosi Hammer , Yacov Kantor

Experimental data from axially symmetric compression test at constant mean pressure p on Hostun sand from Bouvard experiments are used to study the validity of an "isotropic" modelling as a function of the density .The isotropic assumption…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

This Note determines the unsteady non-circulatory forces on an arbitrarily deforming panel with a Holder-continuous porosity distribution. An analytical expression for the non-circulatory pressure distribution is presented and evaluated for…

Fluid Dynamics · Physics 2018-12-06 Rozhin Hajian , Justin W. Jaworski

We study numerical simulations of large (N~10^4) two-dimensional quasi-static granular assemblies subjected to a slowly increasing deviator stress. We report some peculiarities in the behavior of these packings that have not yet been…

Other Condensed Matter · Physics 2010-05-19 Philipp Welker , Sean McNamara

Photoelastic techniques are used to make both qualitative and quantitative measurements of the forces within idealized granular materials. The method is based on placing a birefringent granular material between a pair of polarizing filters,…

Soft Condensed Matter · Physics 2017-06-07 Karen E. Daniels , Jonathan E. Kollmer , James G. Puckett

The Parkes telescope has been monitoring 286 radio pulsars approximately monthly since 2007 at an observing frequency of 1.4 GHz. The wide dispersion measure (DM) range of the pulsar sample and the uniformity of the observing procedure make…

High Energy Astrophysical Phenomena · Physics 2021-01-06 H. Kumamoto , S. Dai , S. Johnston , M. Kerr , R. M. Shannon , P. Weltevrede , C. Sobey , R. N. Manchester , G. Hobbs , K. Takahashi

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

We present in this Letter experimental results on the bidimensional flow field around a cylinder penetrating into dense granular matter together with drag force measurements. A hydrodynamic model based on extended kinetic theory for dense…

Soft Condensed Matter · Physics 2018-01-17 Antoine Seguin , Yann Bertho , Philippe Gondret , Jerome Crassous

We study the approach to jamming in hard-sphere packings, and, in particular, the pair correlation function $g_{2}(r)$ around contact, both theoretically and computationally. Our computational data unambiguously separates the narrowing…

Statistical Mechanics · Physics 2009-11-10 A. Donev , S. Torquato , F. H. Stillinger

We use an analogy with the statistical mechanics of gas to build the statistical mechanics of granular media. The case of an isotropic disordered packing of equal spheres submitted to an isotropic stress is considered. We use the assumption…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque