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We consider the two-dimensional Lorentz gas with Poisson distributed hard disk scatterers and a constant magnetic field perpendicular to the plane of motion. The velocity autocorrelation is computed numerically over the full range of…

Condensed Matter · Physics 2009-10-30 Alexander Kuzmany , Herbert Spohn

We investigate the heterogeneous dynamics in a model, where chemical gelation and glass transition interplay, focusing on the dynamical susceptibility. Two independent mechanisms give raise to the correlations, which are manifested in the…

Soft Condensed Matter · Physics 2017-05-09 Antonio de Candia , Annalisa Fierro , Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

We investigate the dynamics of a single tracer particle performing Brownian motion in a two-dimensional course of randomly distributed hard obstacles. At a certain critical obstacle density, the motion of the tracer becomes anomalous over…

Soft Condensed Matter · Physics 2010-11-19 Teresa Bauer , Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to exhibit a line of continuous transitions from a disordered…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , David Mukamel , Gunter M. Schutz

A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak harmonic confinement in the longitudinal…

Quantum Gases · Physics 2015-05-20 Igor E. Mazets

We derive a microscopic theory of glassy dynamics based on the transport of voids by micro-string motions, each of which involves particles arranged in a line hopping simultaneously displacing one another. Disorder is modeled by a random…

Disordered Systems and Neural Networks · Physics 2018-03-02 Chi-Hang Lam

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

We prove the invariance principle for a \emph{random Lorentz-gas} particle in 3 dimensions under the Boltzmann-Grad limit and simultaneous diffusive scaling. That is, for the trajectory of a point-like particle moving among infinite-mass,…

Probability · Mathematics 2020-06-23 Christopher Lutsko , Bálint Tóth

We obtain analytic expressions for the time correlation functions of a liquid of spherical particles, exact in the limit of high dimensions $d$. The derivation is long but straightforward: a dynamic virial expansion for which only the first…

Statistical Mechanics · Physics 2016-01-08 Thibaud Maimbourg , Jorge Kurchan , Francesco Zamponi

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the…

Condensed Matter · Physics 2009-10-28 Jean-Philippe Bouchaud , Alain Comtet , Cécile Monthus

We consider the evolution of a dilute Bose-Einstein condensate in an optical trap formed by a doughnut laser mode. By solving a one dimensional Gross-Pitaevskii equation and looking at the variance and the statistical entropy associated…

Soft Condensed Matter · Physics 2009-10-31 Pierre Villain , Patrik Ohberg , Maciej Lewenstein

In a recent letter, Kawasaki et al. (PRL 99, 215701 (2007)) study glass formation in a 2-dimensional (2D) model of polydisperse repulsive disks. They give numerical evidence for a direct relation between slowing down of the relaxation,…

Statistical Mechanics · Physics 2008-05-13 François Sausset , Gilles Tarjus

We use a macromodel of a flow-driven deterministic lateral displacement (DLD) microfluidic system to investigate conditions leading to size-separation of suspended particles. This model system can be easily reconfigured to establish an…

Fluid Dynamics · Physics 2016-04-27 Siqi Du , German Drazer

We provide a theoretical description of dynamical heterogeneities in glass-forming liquids, based on the premise that relaxation occurs via local rearrangements coupled by elasticity. In our framework, the growth of the dynamical…

Soft Condensed Matter · Physics 2023-11-02 Ali Tahaei , Giulio Biroli , Misaki Ozawa , Marko Popović , Matthieu Wyart

Understanding glass formation by quenching remains a challenge in soft condensed matter physics. Recent numerical studies on steepest descent dynamics, which is one of the simplest models of quenching, revealed that quenched liquids undergo…

Soft Condensed Matter · Physics 2024-01-29 Masanari Shimada , Kumpei Shiraishi , Hideyuki Mizuno , Atsushi Ikeda

Ultracold gases are a versatile platform to simulate condensed matter physics, as virtually any parameter is experimentally tunable. In particular, highly anisotropic traps allow the realization of low-dimensional systems, where the role of…

Quantum Gases · Physics 2017-12-18 Guillaume Lang

Exerting a nonequilibrium drive on an otherwise equilibrium Langevin process brings the dynamics out of equilibrium but can also speedup the approach to the Boltzmann steady-state. Transverse forces are a minimal framework to achieve…

Soft Condensed Matter · Physics 2024-09-19 Federico Ghimenti , Ludovic Berthier , Grzegorz Szamel , Frédéric van Wijland

Dimensionality serves as an indispensable ingredient in any attempt to formulate the low-dimensional physics, and studying the dimensional crossover at a fundamental level is challenging. The purpose of this work is to study the…

Quantum Gases · Physics 2022-11-22 KangKang Li , Zhaoxin Liang

Using computer simulations, we identify the mechanisms causing aggregation and structural arrest of colloidal suspensions interacting with a short-ranged attraction at moderate and high densities. Two different non-ergodicity transitions…

Condensed Matter · Physics 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

In this work, we study the free decay of a turbulent trapped Bose gas by analyzing the temporal evolution of density variations extracted from absorption images. We introduce a parameter $\delta$ as a simple and experimentally accessible…

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