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By combining aspects of the coherent and self intermediate scattering functions, measured by dynamical light scattering on a suspension of hard sphere-like particles, we show that the arrest of particle number density fluctuations spreads…

Soft Condensed Matter · Physics 2015-05-13 W. van Megen , V. A. Martinez , G. Bryant

We consider a microscopic model of a polymer blend that is prone to phase separation. Permanent crosslinks are introduced between randomly chosen pairs of monomers, drawn from the Deam-Edwards distribution. Thereby, not only density but…

Soft Condensed Matter · Physics 2009-11-11 Christian Wald , Paul M. Goldbart , Annette Zippelius

A quantitatively reliable theoretical description of the dynamics of fluctuations in non-equilibrium is indispensable in the experimental search for the QCD critical point by means of ultra-relativistic heavy-ion collisions. In this work we…

Nuclear Theory · Physics 2019-06-26 Marlene Nahrgang , Marcus Bluhm , Thomas Schaefer , Steffen A. Bass

We study the local dynamical fluctuations in glass-forming models of particles embedded in $d$-dimensional space, in the mean-field limit of $d\to\infty$. Our analytical calculation reveals that single-particle observables, such as squared…

Disordered Systems and Neural Networks · Physics 2022-04-27 Giulio Biroli , Patrick Charbonneau , Giampaolo Folena , Yi Hu , Francesco Zamponi

We study non-equilibrium velocity fluctuations in a model for the sedimentation of non-Brownian particles experiencing long-range hydrodynamic interactions. The complex behavior of these fluctuations, the outcome of the collective dynamics…

Statistical Mechanics · Physics 2015-06-24 M. -Carmen Miguel , R. Pastor-Satorras

The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

Nuclear Theory · Physics 2020-11-25 Marlene Nahrgang , Marcus Bluhm

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

Soft Condensed Matter · Physics 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

Granular simulations are used to probe the particle scale dynamics at short, intermediate, and long time scales for gravity driven, dense granular flows down an inclined plane. On approach to the angle of repose, where motion ceases, the…

Soft Condensed Matter · Physics 2009-11-11 L. E. Silbert

We consider the limiting behavior of fluctuations of small noise diffusions with multiple scales around their homogenized deterministic limit. We allow full dependence of the coefficients on the slow and fast motion. These processes arise…

Probability · Mathematics 2015-02-20 Konstantinos Spiliopoulos

The origin of the dramatic changes in the behavior of liquids as they approach their vitreous state - increases of many orders of magnitude in transport properties and dynamic time scales - is a major unsolved problem in condensed matter.…

Soft Condensed Matter · Physics 2015-06-23 R. Casalini , D. Fragiadakis , C. M. Roland

We consider a system of $N$ disordered mean-field interacting diffusions within spatial constraints: each particle $\theta_i$ is attached to one site $x_i$ of a periodic lattice and the interaction between particles $\theta_i$ and…

Probability · Mathematics 2020-01-16 Eric Luçon , Wilhelm Stannat

Only recently the essential role of the percolation critical point has been considered on the dynamical properties of connected regions of aligned spins (domains) after a sudden temperature quench. In equilibrium, it is possible to resolve…

In this paper we study the four point correlation function $\chi_4$ of collective density fluctuations in a nonequilibrium liquid. The equilibration is controlled by a modified stretched exponential behavior ( $\exp…

Statistical Mechanics · Physics 2014-02-17 Bhaskar Sen Gupta , Shankar P. Das

In a preceding paper, Mukhopadhyay and I studied the diffusive motion of a tagged molecule in a heterogeneous glass-forming liquid at temperatures just above a glass transition. Among other features of this system, we postulated a relation…

Statistical Mechanics · Physics 2009-11-13 J. S. Langer

A multi-time extension of a density correlation function is introduced to reveal temporal information about dynamical heterogeneity in glass-forming liquids. We utilize a multi-time correlation function that is analogous to the higher-order…

Soft Condensed Matter · Physics 2010-08-03 Kang Kim , Shinji Saito

A few years ago it was showed that some systems that have very similar local structure, as quantified by the pair correlation function, exhibit vastly different slowing down upon supercooling [L. Berthier and G. Tarjus, Phys. Rev. Lett.…

Soft Condensed Matter · Physics 2015-06-17 Elijah Flenner , Hannah Staley , Grzegorz Szamel

We present experimental measurements of dynamical heterogeneities in a dense system of microgel spheres, sheared at different rates and at different packing fractions in a microfluidic channel, and visualized with high speed digital video…

Soft Condensed Matter · Physics 2015-03-19 K. N. Nordstrom , J. P. Gollub , D. J. Durian

Velocity and density structure factors are measured over a hydrodynamic range of scales in a horizontal quasi-2d fluidized granular experiment, with packing fractions $\phi\in[10%,40%]$. The fluidization is realized by vertically vibrating…

Soft Condensed Matter · Physics 2015-06-03 A. Puglisi , A. Gnoli , G. Gradenigo , A. Sarracino , D. Villamaina

We analyse the dynamics of a two dimensional system of interacting active dumbbells. We characterise the mean-square displacement, linear response function and deviation from the equilibrium fluctuation-dissipation theorem as a function of…

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai