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The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

The liquid-to-ordered phase transition in a bilayer system of fermions is studied within the context of a recently proposed density-functional theory [Phys. Rev. A {\bf 92}, 023614 (2015)]. In each two-dimensional layer, the fermions…

Quantum Gases · Physics 2016-06-01 B. P. van Zyl , W. Ferguson

Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions using fully…

Statistical Mechanics · Physics 2011-04-05 Hugo Jacquin , Ludovic Berthier , Francesco Zamponi

Jamming and percolation of three-dimensional (3D) $k \times k \times k $ cubic objects ($k^3$-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The $k^3$-mers…

Statistical Mechanics · Physics 2019-08-28 A. C. Buchini Labayen , P. M. Centres , P. M. Pasinetti , A. J. Ramirez-Pastor

We discuss the analytical solution through the cavity method of a mean field model that displays at the same time an ideal glass transition and a set of jamming points. We establish the equations describing this system, and we discuss some…

Disordered Systems and Neural Networks · Physics 2011-03-07 Marc Mezard , Giorgio Parisi , Marco Tarzia , Francesco Zamponi

We propose an intuitively appealing formulation of the zero-temperature triangular lattice Ising antiferromagnet (TIAFM) on a cylinder as a model of noninteracting fermions hopping on a ring and evolving in imaginary time with pair…

Statistical Mechanics · Physics 2018-09-12 Amir Nourhani , Vincent H. Crespi , Paul E. Lammert

Starting from an unjammed initial state, applying shear to a granular material of a fixed packing fraction below $\phi_J$, i.e. the isotropic jamming density of frictionless spheres can produce shear jamming states, as have been discovered…

Soft Condensed Matter · Physics 2016-10-20 Ling Zhang , Jie Zheng , Jie Zhang

The jamming transition between flow and amorphous-solid states exhibits paradoxical properties characterized by hyperuniformity (suppressed spatial fluctuations) and criticality (hyperfluctuations), whose origin remains unclear. Here we…

Soft Condensed Matter · Physics 2025-06-23 Jin Shang , Yinqiao Wang , Deng Pan , Yuliang Jin , Jie Zhang

Three Fermion sumrules for interacting systems are derived at T=0, involving the number expectation $\bar{N}(\mu)$, canonical chemical potentials $\mu(m)$, a logarithmic time derivative of the Greens function $\gamma_{\vec{k} \sigma}$ and…

Strongly Correlated Electrons · Physics 2026-01-14 B Sriram Shastry

We compute the shear modulus of amorphous hard and soft spheres, using the exact solution in infinite spatial dimensions that has been developed recently. We characterize the behavior of this observable in the whole phase diagram, and in…

Disordered Systems and Neural Networks · Physics 2014-09-04 Hajime Yoshino , Francesco Zamponi

We investigate the jamming transition in packings of emulsions and granular materials via molecular dynamics simulations. The emulsion model is composed of frictionless droplets interacting via nonlinear normal forces obtained using…

Soft Condensed Matter · Physics 2009-11-11 H. P. Zhang , H. A. Makse

The equation of state and phase diagram of strongly interacting matter composed of $\alpha$ particles are studied in the mean-field approximation. The particle interactions are included via a Skyrme-like mean field, containing both…

Nuclear Theory · Physics 2021-02-10 Leonid M. Satarov , Roman V. Poberezhnyuk , Igor N. Mishustin , Horst Stoecker

We have explored isotropically jammed states of semi-2D granular materials through cyclic compression. In each compression cycle, systems of either identical ellipses or bi-disperse disks, transition between jammed and unjammed states. We…

Soft Condensed Matter · Physics 2013-09-30 Somayeh Farhadi , Robert P Behringer , Alex Z Zhu

An Ising model with ferromagnetic nearest-neighbor interactions $J_{1}$ ($J_{1}>0$) and random next-nearest-neighbor interactions [$+J_{2}$ with probability $p$ and $-J_{2}$ with probability $(1-p)$; $J_{2}>0$] is studied within the…

Statistical Mechanics · Physics 2009-06-22 Octavio R. Salmon , J. Ricardo de Sousa , Fernando D. Nobre

We report recent results of molecular dynamics simulations of frictional athermal particles at constant volume fraction and constant applied shear stress, focusing on a range of control parameters where the system first flows, but then jams…

Soft Condensed Matter · Physics 2012-02-22 Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

The hard-sphere potential has become a cornerstone in the study of both molecular and complex fluids. Despite its mathematical simplicity, its implementation in fixed time-step molecular simulations remains a formidable challenge due to the…

Soft Condensed Matter · Physics 2025-04-21 Edwin A. Bedolla-Montiel , Ramón A. Castañeda-Cerdán , Ramón Castañeda-Priego

We experimentally probe the vicinity of the jamming point J, located at a density $\phi$ corresponding to random close packing ($\phi_{rcp} = 0.842$), in two dimensional, bidisperse packings of foam bubbles. We vary the density of the foam…

Soft Condensed Matter · Physics 2015-05-19 Gijs Katgert , Martin van Hecke

The focus of the present work is the application of the random phase approximation (RPA), derived for inhomogeneous fluids [Frydel and Ma, Phys. Rev. E 93, 062112 (2016)], to penetrable-spheres. As penetrable-spheres transform into…

Statistical Mechanics · Physics 2017-05-17 Yan Xiang , Derek Frydel

Dynamic jamming is a phenomenon whereby a dense suspension switches from a fluid-like to a solid-like state when subjected to sufficient stress and deformation. Large enough systems show that this transition is accompanied by a distinct…

Soft Condensed Matter · Physics 2021-07-12 Olav Ro mcke , Ivo R. Peters , R. Jason Hearst
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