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The mechanical response of packings of purely repulsive, spherical particles to athermal, quasistatic simple shear near jamming onset is highly nonlinear. Previous studies have shown that, at small pressure $p$, the ensemble-averaged static…

Soft Condensed Matter · Physics 2020-01-29 Kyle VanderWerf , Arman Boromand , Mark D. Shattuck , Corey S. O'Hern

Using numerical simulations we examine the velocity fluctuations of a probe particle driven with constant force through a two-dimensional disordered assembly of disks which has a well-defined jamming point J at a density of \phi_J=0.843. As…

Soft Condensed Matter · Physics 2015-05-13 C. J. Olson Reichhardt , C. Reichhardt

Above a certain density a granular material jams. This property can be controlled by either tuning a global property, such as the packing fraction or by applying shear strain, or at the micro-scale by tuning grain shape, inter-particle…

Soft Condensed Matter · Physics 2016-11-23 Meredith Cox , Dong Wang , Jonathan Barés , Robert P. Behringer

We perform numerical simulations of the jamming transition of non-spherical particles in two dimensions. In particular, we systematically investigate how the physical quantities at the jamming transition point behave when the shapes of the…

Soft Condensed Matter · Physics 2022-06-10 Harukuni Ikeda

We discuss the linear and non-linear rheology of concentrated (sub)microscale emulsions, amorphous disordered solids composed of repulsive and deformable soft colloidal spheres. Based on recent results from simulation and theory, we derive…

Soft Condensed Matter · Physics 2013-11-14 Frank Scheffold , Frédéric Cardinaux , Thomas G. Mason

One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the…

Statistical Mechanics · Physics 2013-05-29 Claudio Giberti , Lamberto Rondoni

We numerically investigate sound damping in a model of granular materials in two dimensions. We simulate evolution of standing waves in disordered frictionless disks and analyze their damped oscillations by velocity autocorrelation…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Hideyuki Mizuno

We explored experimentally the self-organization at rest and the compression dynamics of a two-dimensional array of magnetic repelling particles, using two particle geometries, namely, disks and rectangular bars. Despite the non-contact…

Soft Condensed Matter · Physics 2025-07-15 M. Aguilar-González , L. F. Elizondo-Aguilera , Y. D. Sobral , F. Pacheco-Vázquez

Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the $N$-fermion canonical partition function on the positive real $\beta$ axis (or very close to it), even for a small number of particles.…

Statistical Mechanics · Physics 2011-11-28 R. K. Bhaduri , A. MacDonald , W. van Dijk

An active system consisting of many self-spinning dimers is simulated, and a distinct local rotational jamming transition is observed as the density increases. In the low density regime, the system stays in an absorbing state, in which each…

Soft Condensed Matter · Physics 2022-04-29 Rui Liu , Jianxiao Gong , Mingcheng Yang , Ke Chen

Understanding the way disordered particle packings transition between jammed (rigid) and unjammed (fluid) states is of both great practical importance and strong fundamental interest. The values of critical packing fraction (and other state…

Soft Condensed Matter · Physics 2026-04-14 Sangwoo Kim , Sascha Hilgenfeldt

The dependence of mechanical properties on microscopic interactions remains a central problem in the physics of disordered solids near the jamming transition. We numerically and theoretically investigate the mechanical response of jammed…

Soft Condensed Matter · Physics 2026-04-07 Michio Otsuki , Kiwamu Yoshii , Hideyuki Mizuno

Extensive numerical simulations in the past decades proved that the critical exponents of the jamming of frictionless spherical particles remain unchanged in two and three dimensions. This implies that the upper critical dimension is…

Soft Condensed Matter · Physics 2020-07-22 Harukuni Ikeda

In this work, we investigate the dynamics of interacting particle systems subjected to repulsive forces, such as lattices of magnetized particles. To this end, we first develop a general model capable of capturing the complete dynamical…

Applied Physics · Physics 2021-03-22 Weijian Jiao , Stefano Gonella

While the large majority of theoretical and numerical studies of the jamming transition consider athermal packings of purely repulsive spheres, real complex fluids and soft solids generically display attraction between particles. By…

Soft Condensed Matter · Physics 2018-11-07 Dion J. Koeze , Brian P. Tighe

The average number of constraints per particle $< C_{total} >$ in mechanically stable systems of Platonic solids (except cubes) approaches the isostatic limit at the jamming point ($< C_{total} > \rightarrow 12$), though average number of…

Soft Condensed Matter · Physics 2012-05-08 Kyle C. Smith , Meheboob Alam , Timothy S. Fisher

We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a…

Soft Condensed Matter · Physics 2017-11-27 Ning Xu , Andrea J. Liu , Sidney R. Nagel

One-dimensional self-gravitating systems admit genuine thermodynamical equilibria. For systems with strictly monotonic orbital frequency profile, the Landau and Balescu-Lenard theories predict a relaxation time scaling linearly with the…

Astrophysics of Galaxies · Physics 2026-03-13 Kerwann Tep , Jean-Baptiste Fouvry , Christophe Pichon

We study the mechanical response generated by local deformations in jammed packings of rigid disks. Based on discrete element simulations we determine the critical force of the local perturbation that is needed to break the mechanical…

Soft Condensed Matter · Physics 2007-10-02 M. Reza Shaebani , Tamas Unger , Janos Kertesz

We investigate a one-dimensional system of $N$ particles, initially distributed with random positions and velocities, interacting through binary collisions. The collision rule is such that there is a time after which the $N$ particles do…

Mathematical Physics · Physics 2018-03-14 Joceline Lega , Sunder Sethuraman , Alexander L Young