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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

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we review the current understanding of the…

Soft Condensed Matter · Physics 2015-05-14 M van Hecke

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 find an order-disorder transition from crystals to disordered crystals for static packings of frictionless spheres. While the geometric indicators are mostly blind to the transition, disordered crystals already exhibit properties apart…

Soft Condensed Matter · Physics 2015-10-26 Hua Tong , Peng Tan , Ning Xu

The postulate of the existence of a jamming phase diagram (Liu and Nagel, Nature 396, 21 EP (1998aa)) provides a theoretical basis for the classification of a wide range of amorphous solids (colloidal, molecular and emulsion glasses,…

Soft Condensed Matter · Physics 2020-02-04 Ruru Li , Daniel Lester

Unlike in crystals, it is difficult to trace emergent material properties of amorphous solids to their underlying structure. Nevertheless, one can tune features of a disordered spring network, ranging from bulk elastic constants to specific…

Computational Physics · Physics 2025-05-05 Mengjie Zu , Aayush Desai , Carl P. Goodrich

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can {\em jam} into a rigid, disordered state where they withstand finite shear stresses before yielding. The jamming transition has been studied…

Soft Condensed Matter · Physics 2016-07-06 Gijs Katgert , Brian P. Tighe , Martin van Hecke

Jamming is ubiquitous in disordered systems, but the critical behavior of jammed solids subjected to active forces or thermal fluctuations remains elusive. In particular, while passive athermal jamming remains mean-field-like in two and…

Soft Condensed Matter · Physics 2024-04-26 Shalabh K. Anand , Chiu Fan Lee , Thibault Bertrand

Packings of frictionless athermal particles that interact only when they overlap experience a jamming transition as a function of packing density. Such packings provide the foundation for the theory of jamming. This theory rests on the…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel

The non-equilibrium transition from a fluid-like state to a disordered solid-like state, known as the jamming transition, occurs in a wide variety of physical systems, such as colloidal suspensions and molecular fluids, when the temperature…

Soft Condensed Matter · Physics 2012-02-10 M. Pica Ciamarra , R. Pastore , M. Nicodemi , A. Coniglio

Order and disorder constitute two fundamental and opposite themes in condensed matter physics and materials science. Crystals are considered the epitome of order, characterised by long-range translational order. The discovery of…

Soft Condensed Matter · Physics 2026-02-18 Xinyu Fan , Ding Xu , Jianhua Zhang , Hao Hu , Peng Tan , Ning Xu , Hajime Tanaka , Hua Tong

The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their…

Soft Condensed Matter · Physics 2016-07-06 Julia Boschan , Daniel Vagberg , Ellak Somfai , Brian P. Tighe

The ability to control forces between sub-micron-scale building blocks offers considerable potential for designing new materials through self-assembly. A typical paradigm is to first identify a particular (crystal) structure that has some…

Soft Condensed Matter · Physics 2024-04-24 Mengjie Zu , Carl Goodrich

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

Jamming is a fundamental transition that governs the mechanical behavior of particulate media, including sand, foam and dense suspensions but also biological tissues: Upon compression, particulate media can change from freely flowing to a…

Soft Condensed Matter · Physics 2022-03-10 Zhaoyu Xie , Timothy J Atherton

A significant amount of attention was dedicated in recent years to the phenomenon of jamming of athermal amorphous solids by increasing the volume fraction of the microscopic constituents. At a critical value of the volume fraction,…

Soft Condensed Matter · Physics 2023-05-03 Yuliang Jin , Itamar Procaccia , Tuhin Samanta

Jamming is an athermal transition between flowing and rigid states in amorphous systems such as granular matter, colloidal suspensions, complex fluids and cells. The jamming transition seems to display mixed aspects of a first-order…

Soft Condensed Matter · Physics 2024-11-04 Yue Deng , Deng Pan , Yuliang Jin

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

The concept of jamming has attracted great research interest due to its broad relevance in soft matter such as liquids, glasses, colloids, foams, and granular materials, and its deep connection to the sphere packing problem and optimization…

Soft Condensed Matter · Physics 2021-04-07 Yuliang Jin , Hajime Yoshino
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