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We investigate the response of a system of hard spheres to two classes of perturbations over a range of densities spanning the fluid, crystalline, and glassy regimes within a molecular dynamics framework. Firstly, we consider the relaxation…

Statistical Mechanics · Physics 2025-09-04 Matthew Kafker , Xerxes D. Arsiwalla

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

Unlike crystals, glasses age or devitrify over time, reflecting their non-equilibrium nature. This lack of stability is a serious issue in many industrial applications. Here, we show by numerical simulations that the devitrification of…

Soft Condensed Matter · Physics 2021-11-25 Taiki Yanagishima , John Russo , Roel P A Dullens , Hajime Tanaka

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

Disordered Systems and Neural Networks · Physics 2007-08-08 Carolina Brito , Matthieu Wyart

We explore the emergence of nonequilibrium collective motion in disordered non-thermal active matter when persistent motion and crowding effects compete, using simulations of a two-dimensional model of size polydisperse self-propelled…

Soft Condensed Matter · Physics 2022-07-27 Yann-Edwin Keta , Robert L. Jack , Ludovic Berthier

The growing sluggishness of glass-forming liquids is thought to be accompanied by growing structural order. The nature of such order, however, remains hotly debated. A decade ago, point-to-set (PTS) correlation lengths were proposed as…

Statistical Mechanics · Physics 2016-09-26 Sho Yaida , Ludovic Berthier , Patrick Charbonneau , Gilles Tarjus

In this paper we study the glass transition in a model of identical hard spheres, focusing on the two dimensional case. In the mean-field limit the model exhibits an ideal glass transition of the same nature of that found in discontinuous…

Statistical Mechanics · Physics 2007-05-23 M. Tarzia

We develop a replicated liquid theory for structural glasses which exhibit spatial variation of physical quantities along one axis, say $z$-axis. The theory becomes exact with infinite transverse dimension $d-1 \to \infty$. It provides an…

Soft Condensed Matter · Physics 2025-11-14 Yukihiro Tomita , Hajime Yoshino

Motivated by a recently identified severe discrepancy between a static and a dynamic theory of glasses, we numerically investigate the behavior of dense hard spheres in spatial dimensions 3 to 12. Our results are consistent with the static…

Disordered Systems and Neural Networks · Physics 2011-10-28 Patrick Charbonneau , Atsushi Ikeda , Giorgio Parisi , Francesco Zamponi

Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, irregular yet persistent, intersected by…

Soft Condensed Matter · Physics 2010-09-30 Peter Harrowell

We study dynamical heterogeneity and glassy dynamics in a kinetically constrained lattice gas model which has both translational and rotational degrees of freedom. We find that the rotational diffusion constant tracks the structural…

Soft Condensed Matter · Physics 2015-06-25 Albert C. Pan

The effect of ring stiffness and pressure on the glassy dynamics of a thermal assembly of two-dimensional ring polymers is investigated using extensive coarse-grained molecular dynamics simulations. In all cases, dynamical slowing down is…

Soft Condensed Matter · Physics 2023-06-06 Sayantan Ghosh , Satyavani Vemparala , Pinaki Chaudhuri

We use the isoconfigurational (IC) ensemble to show the connection between emerging heterogeneities in the tetrahedral order parameter and the dynamic propensity in a mildly undercooled glass-forming liquid. We observe that spatially…

Soft Condensed Matter · Physics 2021-01-18 M Shajahan G Razul , Gurpreet S Matharoo , Balakrishnan Viswanathan

The structural arrest of a polymeric suspension might be driven by an increase of the cross--linker concentration, that drives the gel transition, as well as by an increase of the polymer density, that induces a glass transition. These…

Statistical Mechanics · Physics 2014-06-20 Nagi Khalil , Antonio Coniglio , Antonio de Candia , Annalisa Fierro , Massimo Pica Ciamarra

The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying and measuring such a length is…

Statistical Mechanics · Physics 2014-05-29 Giulio Biroli , Smarajit Karmakar , Itamar Procaccia

The question about the existence of a structural glass transition in two dimensions is studied using mode coupling theory (MCT). We determine the explicit d-dependence of the memory functional of mode coupling for one-component systems.…

Soft Condensed Matter · Physics 2009-11-13 M. Bayer , J. Brader , F. Ebert , E. Lange , M. Fuchs , G. Maret , R. Schilling , M. Sperl , J. P. Wittmer

We study the glass transition by exploring a broad class of kinetic rules that can significantly modify the normal dynamics of super-cooled liquids, while maintaining thermal equilibrium. Beyond the usual dynamics of liquids, this class…

Soft Condensed Matter · Physics 2024-06-14 Cristina Gavazzoni , Carolina Brito , Matthieu Wyart

We investigate the heterogeneity of dynamics, the breakdown of the Stokes-Einstein relation and fragility in a model glass forming liquid, a binary mixture of soft spheres with a harmonic interaction potential, for spatial dimensions from 3…

Soft Condensed Matter · Physics 2021-08-20 Monoj Adhikari , Smarajit Karmakar , Srikanth Sastry

We numerically study dynamics and correlation length scales of a colloidal liquid in both quiescent and sheared conditions to further understand the origin of slow dynamics and dynamic heterogeneity in glass-forming systems. The simulation…

Soft Condensed Matter · Physics 2015-06-05 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An
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