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Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

Statistical Mechanics · Physics 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of…

Statistical Mechanics · Physics 2015-06-19 G. P. Suárez , H. O. Mártin , J. L. Iguain

We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have…

Statistical Mechanics · Physics 2009-11-13 Tobias Ambjornsson , Ludvig Lizana , Michael A. Lomholt , Robert J. Silbey

Single-file diffusion refers to the Brownian motion in narrow channels where particles cannot pass each other. In such processes, the diffusion of a tagged particle is typically normal at short times and becomes subdiffusive at long times.…

Statistical Mechanics · Physics 2026-02-23 Sören Schweers , Alexander P. Antonov , Artem Ryabov , Philipp Maass

We use direct numerical simulations and scaling arguments to study coarsening in binary fluid mixtures with a conserved order parameter in the droplet-spinodal regime -- the volume fraction of the droplets is neither too small nor symmetric…

Statistical Mechanics · Physics 2021-09-21 Akshay Bhatnagar , Prasad Perlekar , Dhrubaditya Mitra

Single-file diffusion is a paradigmatic model for the transport of Brownian colloidal particles in narrow one-dimensional channels, such as those found in certain porous media, where the particles cannot cross each other. We consider a…

Statistical Mechanics · Physics 2025-01-07 Benjamin Sorkin , David S. Dean

In this paper, we study a macroscopic system of electrically interacting metallic beads organized as a sequence along an annulus. A random mechanical shaking mimics the thermal excitation. We exhibit non Fickian diffusion (Single File…

Statistical Mechanics · Physics 2015-05-18 Christophe Coste , Jean-Baptiste Delfau , Catherine Even , Michel Saint Jean

We study domain growth properties of two species of particles executing biased diffusion on a half-filled square lattice, consisting of just two lanes. Driven in opposite directions by an external ``electric'' field, the particles form…

Statistical Mechanics · Physics 2009-11-07 J. T. Mettetal , B. Schmittmann , R. K. P. Zia

Single-file diffusion is a ubiquitous physical process exploited by living and synthetic systems to exchange molecules with their environment. It is paramount quantifying the escape time needed for single files of particles to exit from…

Soft Condensed Matter · Physics 2016-07-25 Emanuele Locatelli , Matteo Pierno , Fulvio Baldovin , Enzo Orlandini , Yizhou Tan , Stefano Pagliara

Kinetics of separation between the low and high density phases in a single component Lennard-Jones model has been studied via molecular dynamics simulations, at a very low temperature, in the space dimension $d=2$. For densities close to…

Statistical Mechanics · Physics 2017-04-26 Jiarul Midya , Subir K. Das

The single file diffusion in a circular channel of millimetric charged balls is studied. The evolution in time of the mean square displacement is shown to be subdiffusive, but slower than the power-like $t^{1/2}$ behavior observed in…

Statistical Mechanics · Physics 2007-05-23 Gwennou Coupier , Michel Saint Jean , Claudine Guthmann

We report numerical investigations of a three-dimensional model of diffusive growth of fine particles, the internal structure of which corresponds to different crystal lattices. A growing cluster (particle) is immersed in, and exchanges…

Statistical Mechanics · Physics 2010-10-12 Vyacheslav Gorshkov , Alexandr Zavalov , Vladimir Privman

We use Langevin dynamics (LD) simulations to investigate single-file diffusion (SFD) in a dilute solution of flexible linear polymers inside a narrow tube with periodic boundary conditions (a torus). The transition from SFD, where the time…

Soft Condensed Matter · Physics 2025-05-20 Hanyang Wang , Gary W. Slater

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The particles aggregate on a linear substrate which consists of…

Other Condensed Matter · Physics 2015-05-20 E. B. Postnikov , A. B. Ryabov , A. Loskutov

In one dimension, particles can not bypass each other. As a consequence, the mean-squared displacement (MSD) in equilibrium shows sub-diffusion ${\rm MSD}(t)\sim t^{1/2}$, instead of normal diffusion ${\rm MSD}(t)\sim t$. This phenomenon is…

Statistical Mechanics · Physics 2024-10-02 Harukuni Ikeda

Using numerical simulations we study the slow dynamics of a colloidal hard-sphere fluid adsorbed in a matrix of disordered hard-sphere obstacles. We calculate separately the contributions to the single-particle dynamic correlation functions…

Soft Condensed Matter · Physics 2011-06-16 Jan Kurzidim , Daniele Coslovich , Gerhard Kahl

Diffusion in colloidal suspensions can be very slow due to the cage effect, which confines each particle within a short radius on one hand, and involves large-scale cooperative motions on the other. In search of insight into this…

Soft Condensed Matter · Physics 2017-03-08 Takeshi Ooshida , Susumu Goto , Takeshi Matsumoto , Michio Otsuki

The deposition dynamics of particles (or the growth of a rigid crystal) on a disordered substrate at a finite deposition rate is explored. We begin with an equation of motion which includes, in addition to the disorder, the periodic…

Condensed Matter · Physics 2009-10-22 Yan-Chr Tsai , Yonathan Shapir
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