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We study the effect of spatially-varying potential and diffusivity on the dispersion of a tracer particle in single-file diffusion. Non-interacting particles in such a system exhibit normal diffusion at late times, which is characterised by…

统计力学 · 物理学 2025-09-15 Benjamin Sorkin , David S. Dean

The lateral diffusion coefficient of a Brownian particle on a two-dimensional random surface is studied in the quenched limit for which the surface configuration is time-independent. We start with the stochastic equation of motion for a…

软凝聚态物质 · 物理学 2020-10-06 Takao Ohta , Shigeyuki Komura

In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This…

软凝聚态物质 · 物理学 2015-05-27 Gustavo C. Abade , Bogdan Cichocki , Maria L. Ekiel-Jezewska , Gerhard Naegele , Eligiusz Wajnryb

We consider chains of one-dimensional, piecewise linear, chaotic maps with uniform slope. We study the diffusive behaviour of an initially nonuniform distribution of points as a function of the slope of the map by solving Frobenius-Perron…

chao-dyn · 物理学 2009-10-22 R. Klages , J. R. Dorfman

Diffusion of self-propelled particles in the presence of randomly distributed obstacles in three dimensions is studied using molecular dynamics simulations. It is found that depending on the magnitude of the propelling force and the…

软凝聚态物质 · 物理学 2016-11-23 Hamidreza Khalilian , Hossein Fazli

We consider a system of particles undergoing correlated diffusion with elastic boundary conditions on the half-line. By taking the large particle limit we establish existence and uniqueness for the limiting empirical measure valued process…

概率论 · 数学 2022-10-19 Ben Hambly , Julian Meier , Andreas Sojmark

We analyze scattering in a system of two (distinguishable) particles moving on the half-line $\overline{\rz}_+$ under the influence of singular two-particle interactions. Most importantly, due to the spatial localization of the interactions…

数学物理 · 物理学 2018-11-14 Sebastian Egger , Joachim Kerner

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

材料科学 · 物理学 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

The time dependency of the diffusion coefficient of particles in porous media is an efficient probe of their geometry. The analysis of this quantity, measured e.g. by nuclear magnetic resonance (PGSE-NMR), can provide rich information…

软凝聚态物质 · 物理学 2013-02-13 Maximilien Levesque , Olivier Bénichou , Benjamin Rotenberg

We consider a one-dimensional diffusion process with coefficients that are periodic outside of a finite 'interface region'. The question investigated in this article is the limiting long time / large scale behaviour of such a process under…

概率论 · 数学 2010-05-14 Martin Hairer , Charles Manson

A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focussed on the macroscopic self-diffusion process observed when the system is looked from above or from below. The…

统计力学 · 物理学 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

软凝聚态物质 · 物理学 2010-11-22 Janne Juntunen , Juha Merikoski

We study diffusion of particles in large-scale simulations of one-dimensional stochastic sandpiles, in both the restricted and unrestricted versions. The results indicate that the diffusion constant scales in the same manner as the activity…

统计力学 · 物理学 2015-05-13 S. D. da Cunha , Ronaldo R. Vidigal , L. R. da Silva , Ronald Dickman

The step edge barrier of a prototypical organic semiconductor molecule, 3,4,9,10-perylene-tetracaboxylic-dianhydride (PTCDA) has been analysed by means of calculations based on emperical potentials. The minimum energy path (MEP) has been…

其他凝聚态物理 · 物理学 2011-11-10 Markus Fendrich , Joachim Krug

In this work, the Z-average, effective, apparent diffusion coefficients and their poly-dispersity indexes were investigated for dilute poly-disperse homogeneous spherical particles in dispersion where the Rayleigh-Gans-Debye approximation…

化学物理 · 物理学 2007-05-23 Yong Sun

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

数学物理 · 物理学 2017-03-23 Maria Bruna , S. Jonathan Chapman

The dispersion process in particulate porous media at low saturation levels takes place over the surface elements of constituent particles and, as we have found previously by comparison with experiments, can be accurately described by…

软凝聚态物质 · 物理学 2019-06-10 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

In this paper we discuss the results of some Molecular Dynamics simulations of a magnetized One Component Plasma, targeted to estimate the diffusion coefficient $D_{\perp}$ in the plane orthogonal to the magnetic field lines. We find that…

等离子体物理 · 物理学 2022-10-21 Lorenzo Valvo , Andrea Carati

A solid-on-solid model of epitaxial growth in 1+1 dimensions is investigated in which slope dependent upward and downward particle currents compete on the surface. The microscopic mechanisms which give rise to these currents are the…

统计力学 · 物理学 2009-11-07 M. Biehl , M. Ahr , M. Kinne , W. Kinzel , S. Schinzer

The coverage of vicinal, stepped surfaces with molecules is simulated with the help of a two-dimensional Ising model including local distortions and an Ehrlich-Schwoebel barrier term at the steps. An effective two-spin model is capable to…

统计力学 · 物理学 2015-06-25 K. Morawetz , C. Olbrich , S. Gemming , M. Schreiber