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Describing the diffusion of particles through crowded, confined environments with which they can interact is of considerable biological and technological interest. Under conditions where the confinement dimensions become comparable to the…

软凝聚态物质 · 物理学 2009-11-13 Mark L. Henle , Brian DiDonna , Christian D. Santangelo , Ajay Gopinathan

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

偏微分方程分析 · 数学 2012-01-06 Maria Bruna , S. Jonathan Chapman

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

统计力学 · 物理学 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

软凝聚态物质 · 物理学 2020-02-05 Mahdi Zarif , Richard K. Bowles

We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density using a coordinate…

软凝聚态物质 · 物理学 2009-11-13 Ludvig Lizana , Tobias Ambjörnsson

We solve a non-equilibrium statistical mechanics problem exactly, namely, the single-file dynamics of N hard-core interacting particles (the particles cannot pass each other) of size \Delta diffusing in a one dimensional system of finite…

统计力学 · 物理学 2009-12-22 Ludvig Lizana , Tobias Ambjornsson

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file…

统计力学 · 物理学 2023-02-28 P. M. Centres , S. J. Manzi , V. D. Pereyra , S. Bustingorry

In a model of $N$ volume-excluding spheres in a $d$-dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence the steady state distribution and axial particle current. We…

统计力学 · 物理学 2021-01-15 Emil Mallmin , Richard A. Blythe , Martin Evans

Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual based…

偏微分方程分析 · 数学 2023-10-06 Michael Fischer , Laura Kanzler , Christian Schmeiser

We derive and study a theoretical description for single file diffusion, i.e., diffusion in a one dimensional lattice of particles with hard core interaction. It is well known that for this system a tagged particle has anomalous diffusion…

统计力学 · 物理学 2013-10-08 Gonzalo Suárez , Miguel Hoyuelos , Héctor O. Mártin

We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels -- single-files, comb-like structures and quasi-one-dimensional…

统计力学 · 物理学 2018-11-14 O. Benichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

偏微分方程分析 · 数学 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

We study the adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice. Confinement is introduced by limiting the number of particles on a lattice site. Adsorption and desorption are found to proceed at…

统计力学 · 物理学 2014-12-16 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

The diffusion of particles in confining walls forming a tube is discussed. Such a transport phenomenon is observed in biological cells and porous media. We consider the case in which the tube is winding with curvature and torsion, and the…

数学物理 · 物理学 2015-05-30 Naohisa Ogawa

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

统计力学 · 物理学 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

We investigate the dynamics of two interacting diffusing particles in an infinite effectively one dimensional system; the particles interact through a step-like potential of width b and height phi_0 and are allowed to pass one another. By…

生物大分子 · 定量生物学 2009-11-13 Tobias Ambjornsson , Robert J. Silbey

The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that…

统计力学 · 物理学 2025-10-24 Manuel Mayo , María Isabel García de Soria , Pablo Maynar , José Javier Brey

The physics of diffusion phenomena in nano and micro channels has attracted a lot of attention in recent years, due to its close connection with many technological, medical and industrial applications. In the present paper we employ a…

软凝聚态物质 · 物理学 2015-09-30 Umberto Marini Bettolo Marconi , Paolo Malgaretti , Ignacio Pagonabarraga

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

Diffusion-coagulation can be simply described by a dynamic where particles perform a random walk on a lattice and coalesce with probability unity when meeting on the same site. Such processes display non-equilibrium properties with strong…

统计力学 · 物理学 2018-03-13 L. Turban , J. -Y. Fortin
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