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Dynamical heterogeneity, in which transitory local fluctuations occur in the conformation and dynamics of constituent particles, is widely hypothesized to be essential to evolution of supercooled liquids into the structural glass state. Yet…

Supercooled liquids display dynamics that are inherently heterogeneous in space. This essentially means that at temperatures below the melting point, particle dynamics in certain regions of the liquid can be orders of magnitude faster than…

Soft Condensed Matter · Physics 2021-01-04 Dipanwita Ghoshal , Ashwin Joy

We introduce and investigate the stochastic dynamics of the density of local extrema (minima and maxima) of non-equilibrium surface fluctuations. We give a number of exact, analytic results for interface fluctuations described by linear…

Statistical Mechanics · Physics 2009-10-31 Z. Toroczkai , G. Korniss , S. Das Sarma , R. K. P. Zia

Recent progresses in single particle tracking have shown evidences of non-Gaussian distribution of displacements in living cells, both near the cellular membrane and inside the cytoskeleton. A similar behavior has also been observed in…

Biological Physics · Physics 2019-05-30 Yann Lanoiselée , Denis S. Grebenkov

We report an investigation of the heterogeneity in super-cooled liquids and glasses using the non-Gaussianity parameter. We simulate selenium and a binary Lennard-Jones system by molecular dynamics. In the non-Gaussianity three time domains…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Caprion , J. Matsui , H. R. Schober

Dispersed colloidal particles within a suspension can aggregate and spontaneously self-organize into a robust, percolating structure known as a gel. These network-like structures are prevalent in nature and play a critical role in many…

Soft Condensed Matter · Physics 2025-04-29 David Richard , Mehdi Bouzid

We study concentrated binary colloidal suspensions, a model system which has a glass transition as the volume fraction $\phi$ of particles is increased. We use confocal microscopy to directly observe particle motion within dense samples…

Soft Condensed Matter · Physics 2011-05-20 Takayuki Narumi , Scott V. Franklin , Kenneth W. Desmond , Michio Tokuyama , Eric R. Weeks

We consider the increase of the spatial variance of some inhomogeneous, non-equilibrium density (particles, energy, etc.) in a periodic quantum system of condensed matter-type. This is done for a certain class of initial quantum states…

Statistical Mechanics · Physics 2009-10-23 Robin Steinigeweg , Hannu Wichterich , Jochen Gemmer

Although the pattern formation on polymer gels has been considered as a result of the mechanical instability due to the volume phase transition, we found a macroscopic surface pattern formation not caused by the mechanical instability. It…

Pattern Formation and Solitons · Physics 2007-05-23 Hiroaki Katsuragi

We propose a one-dimensional nonlocal stochastic model of adsorption and desorption depending on one parameter, the adsorption rate. At a special value of this parameter, the model has some interesting features. For example, the spectrum is…

Statistical Mechanics · Physics 2009-11-10 Jan de Gier , Bernard Nienhuis , Paul A. Pearce , Vladimir Rittenberg

Glass-forming liquids display strong fluctuations -- dynamical heterogeneities -- near their glass transition. By numerically simulating a binary Weeks-Chandler-Andersen liquid and varying both temperature and timescale, we investigate the…

Disordered Systems and Neural Networks · Physics 2011-08-15 Azita Parsaeian , Horacio E. Castillo

We study the density of specular reflection points in the geometrical optics limit when light scatters off fluctuating interfaces and membranes in thermodynamic equilibrium. We focus on the statistical mechanics of both capillary-gravity…

Soft Condensed Matter · Physics 2018-12-26 Amir Azadi , David R. Nelson

Despite a long history and a clear overall understanding of properties of random walks on an incipient infinite cluster in percolation, some important information on it seems to be missing in the literature. In the present work, we revisit…

Statistical Mechanics · Physics 2022-08-24 Adrian Pacheco-Pozo , Igor M. Sokolov

Fluctuations in a fluid are strongly affected by the presence of a macroscopic gradient making them long-ranged and enhancing their amplitude. While small-scale fluctuations exhibit diffusive lifetimes, larger-scale fluctuations live…

In this study, a comprehensive view of a model crystal formation in a complex fluctuating medium is presented. The model incorporates Gaussian curvature effects at the crystal boundary as well as the possibility for superdiffusive motion…

Soft Condensed Matter · Physics 2012-10-03 A. Gadomski , J. Siodmiak , I. Santamaria-Holek , J. M. Rubi , M. Ausloos

Dynamic heterogeneity, believed to be one of the hallmarks of the dynamics of supercooled liquids, is expected to affect the diffusion of the particles comprising the liquid. We have carried out extensive molecular dynamics simulations of…

Soft Condensed Matter · Physics 2019-12-23 Rajsekhar Das , Chandan Dasgupta , Smarajit Karmakar

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

Understanding the dynamics of material objects advected by turbulent flows is a long standing question in fluid dynamics. In this perspective article we focus on the characterization of the statistical properties of non-interacting…

Fluid Dynamics · Physics 2024-03-18 Yaning Fan , Cheng Wang , Linfeng Jiang , Chao Sun , Enrico Calzavarini

We show that the three-point skewness of concentration fluctuations is non-vanishing in free liquid diffusion, even in the limit of vanishingly small mean concentration gradients. We exploit a high-Schmidt reduction of nonlinear…

Statistical Mechanics · Physics 2026-03-12 Marco Bussoletti , Mirko Gallo , Amir Jafari , Gregory L. Eyink

We use a combination of original light scattering techniques and particles with unique optical properties to investigate the behavior of suspensions of attractive colloids under gravitational stress, following over time the concentration…

Soft Condensed Matter · Physics 2015-05-27 Giovanni Brambilla , Stefano Buzzaccaro , R. Piazza , Ludovic Berthier , Luca Cipelletti