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Entangled networks are ubiquitous in tissues, polymers, and fabrics. However, their mechanics remain insufficiently understood due to the complexity of the topological constraints at the network level. Here, we develop a mathematical…

Soft Condensed Matter · Physics 2025-09-23 Juntao Huang , Jiabin Liu , Shaoting Lin

We study an extreme active matter system, which is essentially a dense assembly of athermal, soft and infinitely persistent active particles. Using extensive numerical simulations we obtain jammed configurations of this system in two…

Soft Condensed Matter · Physics 2026-02-25 M. C. Gandikota , Rituparno Mandal , Pinaki Chaudhuri , Bulbul Chakraborty , Chandan Dasgupta

In this work we use matrix models to study the problem of strength distributions. This is motivated by noticing near exponential fall offs of strengths in calculated magnetic dipole excitations. We emphasize that the quality of the…

Nuclear Theory · Physics 2021-04-27 Larry Zamick , Arun Kingan

The stress profile and reorientation of grains, in response to a point force applied to a preloaded two dimensional granular system, are calculated in the context of a continuum theory that incorporates the texture of the packing. When high…

Soft Condensed Matter · Physics 2007-05-23 Rava da Silveira , Guillaume Vidalenc , Cyprien Gay

We study the relaxation of force distributions in the q-model, assuming a uniform q-distribution. We show that "diffusion of correlations" makes this relaxation very slow. On a d-dimensional lattice, the asymptotic state is approached as a…

Statistical Mechanics · Physics 2015-06-24 Jacco H. Snoeijer , J. M. J. van Leeuwen

This paper presents two main results. The first result indicates that in materials with broadly distributed microscopic heterogeneities, the fracture strength distribution corresponding to the peak load of the material response does not…

Materials Science · Physics 2015-06-25 Phani Kumar V. V. Nukala , Srdjan Simunovic

We have studied experimentally and theoretically the response of randomly folded hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical properties of crumpling networks. The results of these studies…

Statistical Mechanics · Physics 2008-08-26 Alexander S. Balankin , Orlando Susarrey Huerta

An external load on a particle packing is distributed internally through a heterogeneous network of particle contacts. This contact force distribution determines the stability of the particle packing and the resulting structure. Here, we…

The probability distributions of the masses of the clusters spanning from top to bottom of a percolating lattice at the percolation threshold are obtained in all dimensions from two to five. The first two cumulants and the exponents for the…

Statistical Mechanics · Physics 2015-06-25 Parongama Sen

We report a joint experimental and theoretical investigation of the probability distribution functions (pdf's) of the normal and tangential (frictional) forces in amorphous frictional media. We consider both the joint pdf of normal and…

Soft Condensed Matter · Physics 2018-07-25 V. S. Akella , M. M. Bandi , H. George E. Hentschel , Itamar Procaccia , Saikat Roy

Inertial lift forces are exploited within inertial microfluidic devices to position, segregate, and sort particles or droplets. However the forces and their focusing positions can currently only be predicted by numerical simulations, making…

Fluid Dynamics · Physics 2016-07-21 Kaitlyn Hood , Sungyon Lee , Marcus Roper

We systematically analyze the tensorial structure of the lattice pressure tensors for a class of multi-phase lattice Boltzmann models (LBM) with multi-range interactions. Due to lattice discrete effects, we show that the built-in isotropy…

Statistical Mechanics · Physics 2021-07-05 Matteo Lulli , Luca Biferale , Giacomo Falcucci , Mauro Sbragaglia , Xiaowen Shan

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

The evolution of the internal granular structure in shear-arrested and shear-flowing states of granular materials is characterized using fabric tensors as descriptors of the internal contact and force networks. When a dilute system of…

Soft Condensed Matter · Physics 2020-05-20 Ishan Srivastava , Jeremy B. Lechman , Gary S. Grest , Leonardo E. Silbert

A polymer chain pinned in space exerts a fluctuating force on the pin point in thermal equilibrium. The average of such fluctuating force is well understood from statistical mechanics as an entropic force, but little is known about the…

Statistical Mechanics · Physics 2015-07-22 James T. Waters , Harold D. Kim

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

Anisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction. Terminal motion of plates with circular…

Classical Physics · Physics 2018-02-13 O. A. Silantyeva , N. N. Dmitriev

We numerically study a three dimensional system of athermal, overdamped, frictionless spheres, using a simplified model for a non-Brownian suspension. We compute the bulk viscosity under both uniaxial and isotropic compression as a means to…

Soft Condensed Matter · Physics 2022-03-02 Anton Peshkov , S. Teitel

In biological materials, strong binding despite an applied load force is often based on clusters of dynamic bonds that share the load. Different macroscopic behaviors have been described depending on whether the load is shared locally or…

Biological Physics · Physics 2025-09-11 Yannick Lüdemann , Stefan Klumpp , Komal Bhattacharyya

We investigate the large-time behavior of the pressureless Euler system with nonlocal velocity alignment and interaction forces, with the aim of characterizing the asymptotic convergence of classical solutions under general interaction…

Analysis of PDEs · Mathematics 2025-10-29 José A. Carrillo , Young-Pil Choi , Dowan Koo , Oliver Tse