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The diffusivity of tagged particles is demonstrated to be heterogeneous on time scales comparable to or less than the structural relaxation time %taking place at the interparticle distance in a highly supercooled liquid via 3D molecular…

软凝聚态物质 · 物理学 2009-10-31 Ryoichi Yamamoto , Akira Onuki

The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of {\it…

统计力学 · 物理学 2015-05-13 S. Eule , R. Friedrich

A quantitative model of the mobility of functionalized particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles anchored through…

软凝聚态物质 · 物理学 2024-06-19 Janna Lowensohn , Laurie Stevens , Daniel Goldstein , Bortolo Matteo Mognetti

We introduce a Langevin equation characterized by a time dependent drift. By assuming a temporal power-law dependence of the drift we show that a great variety of behavior is observed in the dynamics of the variance of the process. In…

统计力学 · 物理学 2009-10-31 Fabrizio Lillo , Rosario N. Mantegna

We have performed non-equilibrium dynamics simulations of a binary Lennard-Jones mixture in which an external force is applied on a single tagged particle. For the diffusive properties of this particle parallel to the force superdiffusive…

统计力学 · 物理学 2015-06-11 Carsten F. E. Schroer , Andreas Heuer

We study diffusion in systems of classical particles whose dynamics conserves the total center of mass. This conservation law leads to several interesting consequences. In finite systems, it allows for equilibrium distributions that are…

统计力学 · 物理学 2024-01-04 Jung Hoon Han , Ethan Lake , Sunghan Ro

The friction coefficient of a particle can depend on its position as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation…

软凝聚态物质 · 物理学 2009-11-13 A. W. C. Lau , T. C. Lubensky

The individual motion of a colloidal particle is described by an overdamped Langevin equation. When rotational degrees of freedom are relevant, these are described by a corresponding Langevin process. Our purpose is to show that the…

Superslow diffusion, i.e., the long-time diffusion of particles whose mean-square displacement (variance) grows slower than any power of time, is studied in the framework of the decoupled continuous-time random walk model. We show that this…

统计力学 · 物理学 2010-11-24 S. I. Denisov , H. Kantz

A recent model of Ariel et al. [1] for explaining the observation of L\'evy walks in swarming bacteria suggests that self-propelled, elongated particles in a periodic array of regular vortices perform a super-diffusion that is consistent…

混沌动力学 · 物理学 2020-07-15 Gil Ariel , Jeremy Schiff

Active particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times…

统计力学 · 物理学 2022-09-14 Ion Santra , Urna Basu , Sanjib Sabhapandit

Consider a particle diffusing in a confined volume which is divided into two equal regions. In one region the diffusion coefficient is twice the value of the diffusion coefficient in the other region. Will the particle spend equal…

动力系统 · 数学 2015-06-04 P. F. Tupper , Xin Yang

We have carried out extensive molecular dynamics simulations of a supercooled polydisperse Lennard-Jones liquid with large variations in temperature at a fixed pressure. The particles in the system are considered to be polydisperse both in…

软凝聚态物质 · 物理学 2009-11-07 Rajesh K. Murarka , Biman Bagchi

For the Langevin model of the dynamics of a Brownian particle with perturbations orthogonal to its current velocity, in a regime when the particle velocity modulus becomes constant, an equation for the characteristic function $\psi…

统计力学 · 物理学 2021-03-01 V. A. Doobko , S. V. Zubarev , E. V. Karachanskaya

In this work we study the transition from normal to anomalous diffusion of Brownian particles on disordered potentials. The potential model consists of a series of "potential hills" (defined on unit cell of constant length) whose heights…

无序系统与神经网络 · 物理学 2016-03-23 R. Salgado-Garcia

Based on Fick's 2nd law the development of moving particle semi-implicit method for predicting diffusion process is proposed in this study

流体动力学 · 物理学 2020-10-07 Ziqi Zhou

Langevin simulations provide an effective way to study collective effects of Brownian particles immersed in a two-dimensional periodic potential. In this paper, we concentrate essentially on the behaviour of the tracer (DTr) and bulk (DB)…

统计力学 · 物理学 2015-05-13 S. Zayzoune , M. Mazroui , Y. Boughaleb , A. Kara

A two-dimensional periodic optical force field, which combines conservative dipolar forces with vortices from radiation pressure, is proposed in order to influence the diffusion properties of optically susceptible nano-particles. The…

介观与纳米尺度物理 · 物理学 2016-06-29 Ivar Zapata , Rafael Delgado-Buscalioni , Juan José Sáenz

In this work we study the transport properties of non-interacting overdamped particles, moving on tilted disordered potentials, subjected to Gaussian white noise. We give exact formulas for the drift and diffusion coefficients for the case…

统计力学 · 物理学 2014-09-04 Raul Salgado-Garcia

Damping on an object generally depends on its conformation (shape size etc.). We consider the Langevin dynamics of a model system with a conformation dependent damping and generalize the fluctuation dissipation relation to fit in such a…

统计力学 · 物理学 2012-07-16 A. Bhattacharyay