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Many functional materials, such as paints and inks used in applications like coating and 3D printing, are concentrated granular suspensions. In such systems, the contact line dynamics and the internal structure of the suspension interact…

We reveal the mechanism of subdiffusion which emerges in a straightforward, one dimensional classical nonequilibrium dynamics of a Brownian ratchet driven by both a time-periodic force and Gaussian white noise. In a tailored parameter set…

统计力学 · 物理学 2021-03-25 Jakub Spiechowicz , Jerzy Łuczka

An elastic rod model for semi-flexible polymers is presented. Theory for a continuum rod is reviewed, and it is shown that a popular discretised model used in numerical simulations gives the correct continuum limit. Correlation functions…

生物物理 · 物理学 2014-04-08 C. A. Brackley , A. N. Morozov , D. Marenduzzo

We study the Brownian dynamics and linear response of a particle with inertia moving in a 2-dimensional helical landscape imprinted on a cylindrical surface. In the harmonic well approximation, the deterministic motion separates into free…

统计力学 · 物理学 2026-05-25 Debankur Bhattacharyya , Abraham Nitzan

We present a model of anomalous diffusion consisting of an ensemble of particles undergoing homogeneous Brownian motion except for confinement by randomly placed reflecting boundaries. For power-law distributed compartment sizes, we…

软凝聚态物质 · 物理学 2015-06-09 Gerald John Lapeyre

Non-reciprocal interactions play a key role in shaping transport in active and passive systems, giving rise to striking nonequilibrium behavior. Here, we study the dynamics of a tracer -- active or passive -- embedded in a bath of active or…

统计力学 · 物理学 2026-01-08 Subhajit Paul , Debasish Chaudhuri

Compressible Mooney-Rivlin theory has been used to model hyperelastic solids, such as rubber and porous polymers, and more recently for the modeling of soft tissues for biomedical tissues, undergoing large elastic deformations. We propose a…

数值分析 · 数学 2025-10-20 Suzanne M. Shontz , Stephen A. Vavasis

The adhesive dynamics of a one-dimensional aggregating gas of point particles is rigorously described. The infinite hierarchy of kinetic equations for the distributions of clusters of nearest neighbours is shown to be equivalent to a system…

统计力学 · 物理学 2009-10-31 L. Frachebourg , Ph. A. Martin , ; J. Piasecki

The non-Newtonian behavior of a monodisperse concentrated dispersion of spherical particles was investigated using a direct numerical simulation method, that takes into account hydrodynamic interactions and thermal fluctuations accurately.…

软凝聚态物质 · 物理学 2012-11-22 Takuya Iwashita , Ryoichi Yamamoto

We consider Brownian particles immersed in the fluid which flow is turbulent. We study the limit where the particles' inertia is weak and their velocity relaxes fast to the velocity of the flow. The trajectories of the particles in this…

混沌动力学 · 物理学 2011-10-25 Itzhak Fouxon , Eugene Mednikov

We study structural relaxation of colloidal hard spheres undergoing Brownian motion using dynamical density functional theory. Contrary to the partial linearization route [Stopper {\em et al.}, Phys. Rev. E {\bf 92}, 022151 (2015)] which…

软凝聚态物质 · 物理学 2018-01-16 Daniel Stopper , Roland Roth , Hendrik Hansen-Goos

We study the dynamics of a tracer in a dense mixture of particles connected to different thermostats. Starting from the overdamped Langevin equations that describe the evolution of the system, we derive the expression of the self-diffusion…

软凝聚态物质 · 物理学 2022-12-28 Marie Jardat , Vincent Dahirel , Pierre Illien

We study the problem of lateral diffusion on a static, quasi-planar surface generated by a stationary, ergodic random field possessing rapid small-scale spatial fluctuations. The aim is to study the effective behaviour of a particle…

概率论 · 数学 2014-02-03 A. B. Duncan

Microorganisms, such as E.Coli, are known to display upstream behavior and respond rheotactically to shear flows. In particular, E.Coli suspensions have been shown to display strong sensitivity to spatial constrictions, leading to an…

软凝聚态物质 · 物理学 2024-01-24 Armin Maleki , Malihe Ghodrat , Ignacio Pagonabarraga

The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition. For Lorentz models obeying Newtonian and diffusive motion at the microscale, we have performed…

软凝聚态物质 · 物理学 2008-04-29 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

We establish in this paper the existence of weak solutions of infinite-dimensional shift invariant stochastic differential equations driven by a Brownian term. The drift function is very general, in the sense that it is supposed to be…

概率论 · 数学 2015-09-01 David Dereudre , Sylvie Roelly

Based on the collision rules for hard needles we derive a hydrodynamic equation that determines the coupled translational and rotational dynamics of a tagged thin rod in an ensemble of identical rods. Specifically, based on a…

软凝聚态物质 · 物理学 2007-05-23 Matthias Otto , Timo Aspelmeier , Annette Zippelius

The fundamentals of Brownian motion have been largely well understood since the early 20th century, with most recent additions focusing on understanding anomalous diffusion via rescaling of drag coefficents. That focus emphasizes long-time…

软凝聚态物质 · 物理学 2021-11-02 Vyas Ramasubramani , Thi Vo , Joshua A. Anderson , Sharon C. Glotzer

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

软凝聚态物质 · 物理学 2025-10-01 Tayeb Jamali

Biased diffusive transport of Brownian particles through irregularly shaped, narrow confining quasi-one-dimensional structures is investigated. The complexity of the higher dimensional diffusive dynamics is reduced by means of the so-called…

统计力学 · 物理学 2009-09-22 P. Sekhar Burada , Gerhard Schmid , Peter Hänggi