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Diffusion-limited cluster aggregation (DLCA) is a well established model for the formation of highly porous low-density non-equilibrium structures. One of the main conclusions of the previous studies considering this model is that the…

Soft Condensed Matter · Physics 2019-01-15 Swetlana Jungblut , Jan-Ole Joswig , Alexander Eychmüller

The Diffusion-Limited Cluster-Cluster Aggregation (DLCA) model is modified by including cluster deformations using the {\it bond fluctuation} algorithm. From 3$d$ computer simulations, it is shown that, below a given threshold value $c_g$…

Condensed Matter · Physics 2009-10-28 R. Jullien , A. Hasmy

Reversible diffusion limited cluster aggregation of hard spheres with rigid bonds was simulated and the self diffusion coefficient was determined for equilibrated systems. The effect of increasing attraction strength was determined for…

Soft Condensed Matter · Physics 2009-11-13 Sujin Babu , Jean Christophe Gimel , Taco Nicolai

Models of fractal growth commonly consider particles diffusing in a medium and that stick irreversibly to the forming aggregate when making contact for the first time. As shown by the well-known diffusion limited aggregation (DLA) model and…

Statistical Mechanics · Physics 2023-10-19 Uriel Villanueva-Alcalá , José R. Nicolás-Carlock , Denis Boyer

We introduce a lattice gas model of cluster growth via the diffusive aggregation of particles in a closed system obeying a local, deterministic, microscopically reversible dynamics. This model roughly corresponds to placing the irreversible…

Statistical Mechanics · Physics 2009-10-31 Raissa M. D'Souza , Norman H. Margolus

Recently, the diffusion-limited cluster aggregation (DLCA) model was restudied as a real-world example of showing discontinuous percolation transitions (PTs). Because a larger cluster is less mobile in Brownian motion, it comes into contact…

Statistical Mechanics · Physics 2012-10-08 Y. S. Cho , Y. W. Kim , B. Kahng

The paper suggests a generalisation of the diffusion-limited aggregation (DLA) based on using a general stochastic process to control particle movements before sticking to a growing cluster. This leads to models with variable…

Statistical Mechanics · Physics 2007-05-23 Ilya Molchanov

In this paper, we analyze the scaling properties of a model that has as limiting cases the diffusion-limited aggregation (DLA) and the ballistic aggregation (BA) models. This model allows us to control the radial and angular scaling of the…

Statistical Mechanics · Physics 2010-09-09 S. G. Alves , S. C. Ferreira

A mixture of hard-sphere particles and model emulsion droplets is studied with a Brownian dynamics simulation. We find that the addition of nonwetting emulsion droplets to a suspension of pure hard spheres can lead to both gas-liquid and…

Soft Condensed Matter · Physics 2015-03-13 Andrea Fortini

Hard spheres interacting through a square-well potential were simulated using two different methods: Brownian Cluster Dynamics (BCD) and Event Driven Brownian Dynamics (EDBD). The structure of the equilibrium states obtained by both methods…

Soft Condensed Matter · Physics 2009-11-13 Sujin Babu , Jean Christophe Gimel , Taco Nicolai , C. De Michele

Results from a modified Diffusion Limited Aggregation (DLA) model are presented. The modifications of the classical DLA model are in the attachment to the cluster rules and in the scheme of particle generation/killing. In the classical DLA…

Mesoscale and Nanoscale Physics · Physics 2011-05-30 Bogdan Ranguelov , Desislava Goranova , Vesselin Tonchev , Rositsa Yakimova

We study the structure and growth of a difusion-limited aggregate (DLA) for which the constitutive units remain mobile during the aggregation process. Contrary to DLA where far from equilibrium conditions are the prevalent factor for…

Statistical Mechanics · Physics 2009-11-10 Carlos I. Mendoza , Carlos M. Marques

Molecular dynamics simulations were employed to investigate the phase separation process of a two-dimensional active Brownian dumbbell model. We evaluated the time dependence of the typical size of the dense component using the scaling…

Soft Condensed Matter · Physics 2024-02-13 C. B. Caporusso , L. F. Cugliandolo , P. Digregorio , G. Gonnella , A. Suma

We simulated irreversible aggregation of non-interacting particles and of particles interacting via repulsive and attractive potentials explicitly implementing the rotational diffusion of aggregating clusters. Our study confirms that the…

Soft Condensed Matter · Physics 2019-03-26 Swetlana Jungblut , Jan-Ole Joswig , Alexander Eychmüller

Predicting urban growth is important for practical reasons, and also for the challenge it presents to theoretical frameworks for cluster dynamics. Recently, the model of diffusion limited aggregation (DLA) has been applied to describe urban…

Condensed Matter · Physics 2007-05-23 Hernan A. Makse , Shlomo Havlin , H. Eugene Stanley

We consider a cluster growth model on Z^d, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop moving when reaching a site not occupied by previous walks. It…

Probability · Mathematics 2010-05-31 Amine Asselah , Alexandre Gaudilliere

We consider a cluster growth model on the d-dimensional lattice, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop moving when reaching a site not occupied…

Probability · Mathematics 2013-06-03 Amine Asselah , Alexandre Gaudilliere

We report on the translation and rotation of particle clusters made through the combination of spherical building blocks. These clusters present ideal model systems to study the motion of objects with complex shape. Because they could be…

Soft Condensed Matter · Physics 2009-11-02 Martin Hoffmann , Claudia S. Wagner , Ludger Harnau , Alexander Wittemann

We present a Molecular Dynamics study of large Lennard-Jones clusters evolving on a crystalline surface. The static and the dynamic properties of the cluster are described. We find that large clusters can diffuse rapidly, as experimentally…

Materials Science · Physics 2009-10-30 Pierre Deltour , Jean-Louis Barrat , Pablo Jensen

Diffusion-limited aggregation (DLA) assumes that particles perform pure random walk at a finite temperature and aggregate when they come close enough and stick together. Although it is well known that DLA in two dimensions results in a…

Statistical Mechanics · Physics 2013-09-02 Li Deng , Yanting Wang , Zhong-Can Ou-Yang
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