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A two-dimensional bidisperse granular fluid is shown to exhibit pronounced long-ranged dynamical heterogeneities as dynamical arrest is approached. Here we focus on the most direct approach to study these heterogeneities: we identify…

Disordered Systems and Neural Networks · Physics 2017-10-27 Karina E. Avila , Horacio E. Castillo , Katharina Vollmayr-Lee , Annette Zippelius

We derive hydrodynamics of a prototypical one dimensional model, having variable-range hopping, which mimics passive diffusion and ballistic motion of active, or self-propelled, particles. The model has two main ingredients - the hardcore…

Statistical Mechanics · Physics 2020-05-27 Tanmoy Chakraborty , Subhadip Chakraborti , Arghya Das , Punyabrata Pradhan

We examine a length scale that characterizes the spatial extent of heterogeneous dynamics in a glass-forming binary hard-sphere mixture up to the mode-coupling volume fraction phi_c. First, we characterize the system's dynamics. Then, we…

Soft Condensed Matter · Physics 2015-05-27 Elijah Flenner , Min Zhang , Grzegorz Szamel

We study a highly supercooled two-dimensional fluid mixture via molecular dynamics simulation. We follow bond breakage events among particle pairs, which occur on the scale of the $\alpha$ relaxation time $\tau_{\alpha}$. Large scale…

Soft Condensed Matter · Physics 2015-06-25 Ryoichi Yamamoto , Akira Onuki

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 extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

We study the nonequilibrium aging dynamics in a system of quasi-hard spheres at large density by means of computer simulations. We find that, after a sudden quench to large density, the relaxation time initially increases exponentially with…

Statistical Mechanics · Physics 2010-10-01 Djamel El Masri , Ludovic Berthier , Luca Cipelletti

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

We numerically examine dynamical heterogeneity in a highly supercooled three-dimensional liquid via molecular-dynamics simulations. To define the local dynamics, we consider two time intervals, $\tau_\alpha$ and $\tau_{\text{ngp}}$.…

Soft Condensed Matter · Physics 2012-04-25 Hideyuki Mizuno , Ryoichi Yamamoto

Non-equilibrium charge dynamics, such as cooling-rate-dependent charge vitrification and physical aging, have been demonstrated for a charge-cluster glass in $\theta$-(BEDT-TTF)$_2$CsZn(SCN)$_4$ using electron transport measurements. The…

Strongly Correlated Electrons · Physics 2014-03-17 T. Sato , F. Kagawa , K. Kobayashi , K. Miyagawa , K. Kanoda , R. Kumai , Y. Murakami , Y. Tokura

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

Statistical Mechanics · Physics 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

Self- and cross-correlation dynamics of deeply supercooled liquids were recently identified using photon correlation spectroscopy and spin relaxometry on the one hand, and using dielectric investigations on the other. These results fueled a…

Soft Condensed Matter · Physics 2021-03-09 K. Moch , P. Münzner , R. Böhmer , C. Gainaru

We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-trivial dynamics is largely dominated by long-range…

Statistical Mechanics · Physics 2025-07-09 David X. Horvath , Benjamin Doyon , Paola Ruggiero

The equations of fluctuating nonlinear hydrodynamics for a two component mixture are obtained with a proper choice of slow variables which correspond to the conservation laws in the system. Using these nonlinear equations we construct the…

Statistical Mechanics · Physics 2016-01-20 Madhu Priya , Neeta Bidhoodi , Shankar P. Das

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

The ac nonlinear dielectric response $\chi_3(\omega,T)$ of glycerol was measured close to its glass transition temperature $T_g$ to investigate the prediction that supercooled liquids respond in an increasingly non-linear way as the…

Soft Condensed Matter · Physics 2015-05-18 C. Crauste-Thibierge , C. Brun , F. Ladieu , D. L'Hote , G. Biroli , J-P. Bouchaud

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

We compute analytically and numerically the four-point correlation function that characterizes non-trivial cooperative dynamics in glassy systems within several models of glasses: elasto-plastic deformations, mode-coupling theory (MCT),…

Disordered Systems and Neural Networks · Physics 2015-06-24 Cristina Toninelli , Matthieu Wyart , Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud

We compute critical exponents governing universal features of supercooled liquids through the effective theory of an overlap field. The correlation length diverges with the Ising exponent; the size of dynamically heterogeneous patches grows…

Disordered Systems and Neural Networks · Physics 2014-07-25 Ethan Dyer , Jaehoon Lee , Sho Yaida

We study a zero-dimensional version of the fluctuating nonlinear hydrodynamics (FNH) of supercooled liquids originally investigated by Das and Mazenko (DM) [Phys. Rev. A {\bf 34}, 2265 (1986)]. The time-dependent density-like and…

Statistical Mechanics · Physics 2015-05-14 Joonhyun Yeo