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We investigate criticality near the jamming transition in both quiescent systems and those under shear by considering the effect of mechanical training on the jamming transition and nonlinear rheology. We simulate frictionless soft…

Soft Condensed Matter · Physics 2020-03-25 Takeshi Kawasaki , Kunimasa Miyazaki

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

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

We study amorphous solids with strong elastic disorder and find an un-jamming instability that exists, inter alia, in an harmonic model built using Euclidean random matrices (ERM). Employing the Zwanzig-Mori projection operator formalism…

Soft Condensed Matter · Physics 2024-05-13 Florian Vogel , Philipp Baumgärtel , Matthias Fuchs

We numerically investigate stress relaxation in soft athermal disks to reveal critical slowing down when the system approaches the jamming point. The exponents describing the divergence of the relaxation time differ dramatically depending…

Soft Condensed Matter · Physics 2020-03-25 Kuniyasu Saitoh , Takahiro Hatano , Atsushi Ikeda , Brian P. Tighe

For a system consisting of active soft spheres in three dimensions, we study the transition from a fluid where overlaps between particles can only occur for a short time after a collision to a state where clusters of overlapping particles…

Soft Condensed Matter · Physics 2019-06-28 Moumita Maiti , Michael Schmiedeberg

Many disordered systems experience a transition from a fluid-like state to a solid-like state following a sudden arrest in dynamics called jamming. In contrast to jamming in spatially homogeneous systems, jamming in hoppers occurs under…

Soft Condensed Matter · Physics 2012-12-04 Shubha Tewari , Michal Dichter , Bulbul Chakraborty

We study the rheology of monodisperse and bidisperse emulsions with various droplet sizes (1 $\mu$m -- 2 $\mu$m diameter). Above a critical volume fraction $\phi_c$, these systems exhibit solid-like behavior and a yield stress can be…

Soft Condensed Matter · Physics 2021-03-12 Cong Cao , Jianshan Liao , Victor Breedveld , Eric R Weeks

A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an…

Mathematical Physics · Physics 2008-11-06 E. D. Belokolos

The method of positive commutators, developed for zero temperature problems over the last twenty years, has been an essential tool in the spectral analysis of Hamiltonians in quantum mechanics. We extend this method to positive…

Mathematical Physics · Physics 2009-11-10 Marco Merkli

Quantum measurement is physically realized through a finite dynamical interaction between a system and a measuring apparatus, giving rise to a continuous transition from weak to strong regimes. While this crossover is well understood under…

We probe flows of soft, viscous spheres near the jamming point, which acts as a critical point for static soft spheres. Starting from energy considerations, we find nontrivial scaling of velocity fluctuations with strain rate. Combining…

Soft Condensed Matter · Physics 2015-03-13 Brian P. Tighe , Erik Woldhuis , Joris J. C. Remmers , Wim van Saarloos , Martin van Hecke

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

In order to study analytically the nature of the jamming transition in granular material, we have considered a cavity method mean field theory, in the framework of a statistical mechanics approach, based on Edwards' original idea. For…

Statistical Mechanics · Physics 2009-11-10 A. Fierro , M. Nicodemi , M. Tarzia , A. de Candia , A. Coniglio

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

Statistical Mechanics · Physics 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

We experimentally investigate the steady states of two granular assemblies differing in their material properties and allowed to exchange volume with each other under external agitation in the vicinity of their jamming transition. We…

Soft Condensed Matter · Physics 2010-02-01 F. Lechenault , Karen E. Daniels

Inspired by recent advances in cold atomic systems and non-equilibrium physics, we introduce a novel characterization scheme, the time of flight full counting statistics. We benchmark this method on an interacting one dimensional Bose gas,…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , Balázs Dóra , Eugene Demler , Gergely Zaránd

While the glass transition at non-zero temperature seems to be hard to access for experimental, theoretical, or simulation studies, jamming at zero temperature has been explored in great detail. It is a widely discussed question whether…

Soft Condensed Matter · Physics 2018-01-31 Moumita Maiti , Michael Schmiedeberg

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

Statistical Mechanics · Physics 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang

Soft composite solids are made of inclusions dispersed within soft matrices. They are ubiquitous in nature and form the basis of many biological tissues. In the field of materials science, synthetic soft composites are promising candidates…

Soft Condensed Matter · Physics 2024-06-14 Yiqiu Zhao , Haitao Hu , Yulu Huang , Hanqing Liu , Caishan Yan , Chang Xu , Rui Zhang , Yifan Wang , Qin Xu
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