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We introduce a high dimensional symplectic map, modeling a large system consisting of weakly interacting chaotic subsystems, as a toy model to analyze the interplay between single-particle chaotic dynamics and particles interactions in…

Chaotic Dynamics · Physics 2011-11-10 Massimo Falcioni , Luigi Palatella , Simone Pigolotti , Lamberto Rondoni , Angelo Vulpiani

Self-similar space-filling bearings have been proposed some time ago as models for the motion of tectonic plates and appearance of seismic gaps. These models have two features which, however, seem unrealistic, namely, high symmetry in the…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Mahmoodi Baram , H. J. Herrmann

We consider in this review the statistical mechanical description of a very general microscopic lattice model of a compressible and interacting multi-component mixture of linear polymers of fixed lengths. The model contains several…

Materials Science · Physics 2007-05-23 P. D. Gujrati

We discuss a simple model of particles hopping in one dimension with attractive interactions. Taking a hydrodynamic limit in which the interaction strength increases with the system size, we observe the formation of multiple clusters of…

Statistical Mechanics · Physics 2017-05-05 Matthew Burman , Daniel Carpenter , Robert L. Jack

We investigate the evolution of particle ensembles in open chaotic hydrodynamical flows. Active processes of the type A+B --> 2B and A+B --> 2C are considered in the limit of weak diffusion. As an illustrative advection dynamics we consider…

chao-dyn · Physics 2009-10-31 Gy. Karolyi , A. Pentek , Z. Toroczkai , T. Tel , C. Grebogi

Particle resuspension is a ubiquitous phenomenon with pivotal relevance in numerous natural and industrial contexts. In this study, we present findings on the resuspension of individual micro-sized particles, captured through high-speed…

Fluid Dynamics · Physics 2024-04-09 Zhikai You , Yiyang Zhang , Zhu Fang , Shuiqing Li

Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spontaneously align in one-dimensional…

Fluid Dynamics · Physics 2015-05-28 Dmitri Pushkin , Denis Melnikov , Valentina Shevtsova

We study the steady state of an assembly of microtubules in a confined volume, analogous to the situation inside a cell where the cell boundary forms a natural barrier to growth. We show that the dynamical equations for growing and…

Subcellular Processes · Quantitative Biology 2012-08-27 Bindu S. Govindan , William. B. Spillman,

Random graph models with limited choice have been studied extensively with the goal of understanding the mechanism of the emergence of the giant component. One of the standard models are the Achlioptas random graph processes on a fixed set…

Probability · Mathematics 2012-12-24 Shankar Bhamidi , Amarjit Budhiraja , Xuan Wang

Molecular dynamics simulations are typically constrained to have a fixed number of particles, which limits our capability to simulate chemical and physical processes where the composition of the system changes during the simulation time.…

Chemical Physics · Physics 2025-08-06 Blake I. Armstrong , Aaron D. Copeland , Davide Donadio , Paolo Raiteri

We present three-dimensional measurements of size-dependent acoustophoretic motion of microparticles with diameters from 4.8 um down to 0.5 um suspended in either homogeneous or inhomogeneous fluids inside a glass-silicon microchannel and…

Fluid Dynamics · Physics 2020-07-29 Wei Qiu , Henrik Bruus , Per Augustsson

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 consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

We numerically study the flow of dense granular materials between parallel plates driven by an external force. The granular materials form a jammed solid-like state when the external force is below a critical force, while they flow like…

Soft Condensed Matter · Physics 2024-03-04 Michio Otsuki , Kenta Hayashi , Kiwamu Yoshii

Inertial particles are often observed to be trapped, temporarily or permanently, by recirculation cells which are ubiquitous in natural or industrial flows. In the limit of small particle inertia, determining the conditions of trapping is a…

Fluid Dynamics · Physics 2016-06-01 Romuald Verjus , Jean-Régis Angilella

In the context of Monte Carlo simulations, the analysis of the probability distribution $P_L(m)$ of the order parameter $m$, as obtained in simulation boxes of finite linear extension $L$, allows for an easy estimation of the location of…

Soft Condensed Matter · Physics 2011-05-27 T. Fischer , R. L. C. Vink

Flow marks are common surface defects that occur in injection-molded products. Their formation may be related to the flow process of the melt in the mold. Through dimensional analysis, we have discovered that the geometric shape of the flow…

Soft Condensed Matter · Physics 2024-02-01 Jinrong Zhang , Dadong Yan , Li Peng , Xianbo Huang

We investigate sample-to-sample fluctuations of the shear modulus in ensembles of particle packings near the jamming transition. Unlike the average modulus, which exhibits distinct scaling behaviours depending on the interparticle…

Soft Condensed Matter · Physics 2026-03-06 Kumpei Shiraishi , Hideyuki Mizuno

A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably…

Probability · Mathematics 2011-10-31 Anne-Laure Basdevant , Philippe Laurencot , James R. Norris , Clement Rau

The relationship between spatially heterogeneous dynamics (SHD) and jamming is studied in a glass-forming binary Lennard-Jones system via molecular dynamics simulations. It has been suggested that the probability distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naida Lacevic , Sharon C. Glotzer
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