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The jamming and percolation for two generalized models of random sequential adsorption (RSA) of linear $k$-mers (particles occupying $k$ adjacent sites) on a square lattice are studied by means of Monte Carlo simulation. The classical…

We present a new class of sequential adsorption models in which the adsorbing particles reach the surface following an inclined direction (shadow models). Capillary electrophoresis, adsorption in the presence of a shear or on an inclined…

凝聚态物理 · 物理学 2009-10-28 I. Pagonabarraga , J. Bafaluy , J. M. Rubi

We investigate both analytically and by numerical simulation the kinetics of a microscopic model of hard rods adsorbing on a linear substrate, a model which is relevant for compaction of granular materials. The computer simulations use an…

统计力学 · 物理学 2009-10-31 J. Talbot , G. Tarjus , P. Viot

Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal and random lattices is studied. The adsorption process is modeled by using random sequential adsorption (RSA) algorithm. Objects are adsorbed on one-,…

We use the two-time scale subordination in order to describe dynamical processes in continuous media with a long-term memory. Our consideration touches two physical examples in detail. First we study a temporal evolution of the species…

统计力学 · 物理学 2011-11-15 Aleksander Stanislavsky , Karina Weron

Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or $k$-mers, on a square…

统计力学 · 物理学 2017-09-06 Grzegorz Kondrat , Zbigniew Koza , Piotr Brzeski

A novel approach for deriving the equation of state for a 2D lattice gas is proposed, based on arguments similar to those used in the derivation of the Langmuir-Szyszkowski equation of state for localized adsorption. The relationship…

统计力学 · 物理学 2017-12-06 Shaghayegh Darjani , Joel Koplik , Vincent Pauchard

A version of the time-parallel algorithm parareal is analyzed and applied to stochastic models in chemical kinetics. A fast predictor at the macroscopic scale (evaluated in serial) is available in the form of the usual reaction rate…

数值分析 · 数学 2009-09-16 Stefan Engblom

In this paper, a diffusion-based molecular communication channel is modeled in presence of a probabilistic absorber. The probabilistic absorber is an absorber which absorbs molecules upon collision with probability q. With random walk…

新兴技术 · 计算机科学 2019-09-19 S Salehi , NS Moayedian , E Alarcón

A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

计算工程、金融与科学 · 计算机科学 2020-08-26 Mojtaba Barzegari , Liesbet Geris

The statistics of strongly interacting, ultracold Rydberg gases are governed by the interplay of two factors: geometrical restrictions induced by blockade effects, and quantum mechanical effects. To shed light on their relative roles in the…

量子气体 · 物理学 2021-03-10 Daan Rutten , Jaron Sanders

Through temporal shaping of the excitation signal, the complex-frequency scattering zeros of a lossless structure can be accessed, enabling a storage-release mechanism referred to as coherent virtual absorption. Practical demonstrations of…

光学 · 物理学 2026-02-27 Kaizad Rustomji , Nasim Mohammadi Estakhri , Nooshin M. Estakhri

Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e., the gradient of the log-probability density of the data,…

机器学习 · 计算机科学 2025-12-17 Dibyajyoti Chakraborty , Haiwen Guan , Jason Stock , Troy Arcomano , Guido Cervone , Romit Maulik

The mechanism of fluid slip on a solid surface has been linked to surface diffusion, by which mobile adsorbed fluid molecules perform hops between adsorption sites. However, slip velocity arising from this surface hopping mechanism has been…

软凝聚态物质 · 物理学 2018-11-02 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

We present a model treating the kinetics of adsorption of soluble surface-active molecules at the interface between an aqueous solution and another fluid phase. The model accounts for both the diffusive transport inside the solution and the…

软凝聚态物质 · 物理学 2007-05-23 H. Diamant , D. Andelman

We introduce a residence-time approach (RTA) for determining position-dependent diffusivities from biased molecular dynamics simulations. The method is formulated for trajectory segments in which the effective drift along the transport…

软凝聚态物质 · 物理学 2026-04-03 Rinto Thomas , Praveen Ranganath Prabhakar , Michael von Domaros

Modeling electronic systems is an important application for quantum computers. In the context of materials science, an important open problem is the computational description of chemical reactions on surfaces. In this work, we outline a…

The static friction between crystalline surfaces separated by a molecularly thin layer of adsorbed molecules is calculated using molecular dynamics simulations. These molecules naturally lead to a finite static friction that is consistent…

材料科学 · 物理学 2009-11-07 Gang He , Mark O. Robbins

We present a versatile open-source pipeline for simulating inhomogeneous reaction-diffusion processes in highly resolved, image-based geometries of porous media with reactive boundaries. Resolving realistic pore-scale geometries in…

数学软件 · 计算机科学 2023-10-18 Justina Stark , Ivo F. Sbalzarini

The random sequential adsorption of various particle shapes is studied in order to determine the influence of particle anisotropy on the saturated random packing. For all tested particles there is an optimal level of anisotropy which…

材料科学 · 物理学 2015-10-28 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff