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The phenomenon of group motion is common in nature, ranging from the schools of fish, birds and insects, to avalanches, landslides and sand drift. If we treat objects as collectively moving particles, such phenomena can be studied from a…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jian Sun , Jiasen Niu , Yifan Li , Yang Liu , L. N. Pfeiffer , K. W. West , Pengjie Wang , Xi Lin

We investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

Soft Condensed Matter · Physics 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

We poorly understand the properties of amorphous systems at small length scales, where a continuous elastic description breaks down. This is apparent when one considers their vibrational and transport properties, or the way forces propagate…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Wyart

Using large-scale molecular dynamics simulations for a system of $10^6$ particles, the response of a dense amorphous solid to the continuous expansion of its volume is investigated. We find that the spatially uniform glassy state becomes…

Statistical Mechanics · Physics 2016-10-12 Pinaki Chaudhuri , Jürgen Horbach

The succession of suggested mechanisms of solid-state phase transitions - Second-order, Lambda, Martensitic, Displacive, Topological, Order-Disorder, Soft-mode, Incommensurate, Scaling and Quantum - are analyzed and explained why they…

Materials Science · Physics 2013-12-30 Yuri Mnyukh

We analyse the motion of a system of particles subjected a random force fluctuating in both space and time, and experiencing viscous damping. When the damping exceeds a certain threshold, the system undergoes a phase transition: the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Wilkinson , B. Mehlig

Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition…

Statistical Mechanics · Physics 2010-08-10 Claudio Castelnovo , Claudio Chamon , David Sherrington

Driven systems offer the potential to realize a wide range of non-equilibrium phenomena that are inaccessible in static systems, such as the discrete time crystals. Time rondeau crystals with a partial temporal order have been proposed as a…

Statistical Mechanics · Physics 2025-10-24 Zhuocheng Ma , Jin Yan , Hongzheng Zhao , Liang-You Peng

One of the basic concepts of modern physics with a long prehistory is a fluid, which means a substance that flows under an applied shear stress. In this sense fluids form a wide subset of the phases of matter that includes liquids, dense…

Statistical Mechanics · Physics 2022-07-12 Ihor Mryglod , Vasyl' Ignatyuk

The phenomenon of solidification of a substance from its liquid phase is of the greatest practical and theoretical importance, and atomistic simulations can provide precious information towards its understanding and control. Unfortunately,…

Soft Condensed Matter · Physics 2021-03-25 Tarak Karmakar , Michele Invernizzi , Valerio Rizzi , Michele Parrinello

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

Our understanding of supercooled liquids and glasses has lagged significantly behind that of simple liquids and crystalline solids. This is in part due to the many possibly relevant degrees of freedom that are present due to the disorder…

Machine Learning · Statistics 2018-08-01 Samuel S. Schoenholz

The criticality of the jamming transition responsible for amorphous solidification has been theoretically linked to the marginal stability of a thermodynamic Gardner phase. While the critical exponents of jamming appear independent of the…

Disordered Systems and Neural Networks · Physics 2023-06-23 Qinyi Liao , Ludovic Berthier , Hai-Jun Zhou , Ning Xu

Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a small external forcing. In order to describe the long time behavior of the particle,…

Probability · Mathematics 2018-06-25 Pierre Mathieu , Andrey Piatnitski

The shear rheology of soft particles systems becomes complex at large density because crowding effects may induce a glass transition for Brownian particles, or a jamming transition for non-Brownian systems. Here we successfully explore the…

Soft Condensed Matter · Physics 2013-07-30 Atsushi Ikeda , Ludovic Berthier , Peter Sollich

Although the concept of random close packing with an almost universal packing fraction of ~ 0.64 for hard spheres was introduced more than half a century ago, there are still ongoing debates. The main difficulty in searching the densest…

Soft Condensed Matter · Physics 2013-10-28 Ran Ni , Martien A. Cohen Stuart , Marjolein Dijkstra

Dense liquids gradually transform into non-equilibrium amorphous solids as they pass through the experimental glass transition. Experimentally, ergodicity is lost because measurements are conducted within a finite time window. More than…

Soft Condensed Matter · Physics 2025-07-08 Gerhard Jung , Misaki Ozawa , Giulio Biroli , Ludovic Berthier

A wide range of materials can exist in microscopically disordered solid forms, referred to as amorphous solids or glasses. Such materials -- oxide glasses and metallic glasses, to polymer glasses, and soft solids such as colloidal glasses,…

Soft Condensed Matter · Physics 2021-08-20 Anshul D. S. Parmar , Srikanth Sastry

We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

We revisit the concept of marginal stability in glasses, and determine its range of applicability in the context of avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudo-gap in the…

Statistical Mechanics · Physics 2015-01-06 Markus Müller , Matthieu Wyart