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When liquid droplets nucleate and grow in a polymer network, compressive stresses can significantly increase their internal pressure, reaching values that far exceed the Laplace pressure. When droplets have grown in a polymer network with a…

Non-equilibrium cluster-cluster aggregation of particles diffusing in or at the cell membrane has been hypothesized to lead to domains of finite size in different biological contexts such as lipid rafts, cell adhesion complexes, or…

软凝聚态物质 · 物理学 2023-08-30 Renaud Baillou , Jonas Ranft

Three-dimensional molecular dynamics simulations of dissipative particles (~ 10^6) are carried out for studying the clustering kinetics of granular media during cooling. The inter-connected high particle density regions are identified,…

材料科学 · 物理学 2007-05-23 Shiyi Chen , Yuefan Deng , Xiaobo Nie , Yuhai Tu

A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

软凝聚态物质 · 物理学 2021-09-07 E. Bildanau , V. Vikhrenko

We review theoretical explanation of mechanisms of control of uniformity in growth of nanosize particles and colloids. The nanoparticles are synthesized as nanocrystals, by burst nucleation from solution. The colloids are self-assembled by…

统计力学 · 物理学 2010-09-22 Vladimir Privman

We study the problems of estimating the past and future evolutions of two diffusion processes that spread concurrently on a network. Specifically, given a known network $G=(V, \overrightarrow{E})$ and a (possibly noisy) snapshot…

社会与信息网络 · 计算机科学 2023-10-31 Nouman Khan , Kangle Mu , Mehrdad Moharrami , Vijay Subramanian

We study the diffusion of an ensemble of overdamped particles sliding over a tilted random poten- tial (produced by the interaction of a particle with a random polymer) with long-range correlations. We found that the diffusion properties of…

无序系统与神经网络 · 物理学 2014-04-11 R. Salgado-Garcia , Cesar Maldonado

In this paper we briefly review a model that describes the diffusion-controlled aggregation exhibited by particles as they are deposited on a surface. This model allows to understand many experiments of thin film deposition. In the first…

Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations…

偏微分方程分析 · 数学 2023-06-13 Marie Doumic , Sophie Hecht , Benoit Perthame , Diane Peurichard

We consider a system of spherical particles interacting by means of a pair potential equal to a finite constant for interparticle distances smaller than the sphere diameter and zero outside. The model may be a prototype for the interaction…

统计力学 · 物理学 2009-10-31 C. N. Likos , M. Watzlawek , H. Loewen

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

软凝聚态物质 · 物理学 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

The outskirts of galaxy clusters are characterised by the interplay of gas accretion and dynamical evolution involving turbulence, shocks, magnetic fields and diffuse radio emission. The density and velocity structure of the gas in the…

宇宙学与河外天体物理 · 物理学 2017-06-29 Luigi Iapichino , Christoph Federrath , Ralf S. Klessen

We report three-dimensional particle mechanics static calculations that predict the microstructure evolution during die-compaction of elastic spherical particles up to relative densities close to one. We employ a nonlocal contact…

软凝聚态物质 · 物理学 2016-08-03 Marcial Gonzalez , Alberto M. Cuitino

The evolution of the allelic proportion $x$ of a biallelic locus subject to the forces of mutation and drift is investigated in a diffusion model, assuming small scaled mutation rates. The overall scaled mutation rate is parametrized with…

种群与进化 · 定量生物学 2014-09-09 Claus Vogl

The evolution of the Erd\H{o}s-R\'enyi (ER) network by adding edges can be viewed as a cluster aggregation process. Such ER processes can be described by a rate equation for the evolution of the cluster-size distribution with the connection…

统计力学 · 物理学 2015-05-14 Y. S. Cho , B. Kahng , D. Kim

Several algorithms have been used for mass transfer between particles undergoing advective and macro-dispersive random walks. The mass transfer between particles is required for general reactions on, and among, particles. The mass transfer…

计算物理 · 物理学 2018-05-10 Michael J. Schmidt , Stephen D. Pankavich , David A. Benson

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 diffusion path and diffusivity of oxygen in crystalline silicon are computed using an empirical interatomic potential which was recently developed for modelling the interactions between oxygen and silicon atoms. The diffusion path is…

mtrl-th · 物理学 2008-02-03 Z. Jiang , R. A. Brown

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…

概率论 · 数学 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…

概率论 · 数学 2013-06-03 Amine Asselah , Alexandre Gaudilliere