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A simple manner to describe the diffusive relaxation of a colloidal fluid adsorbed in a porous medium is to model the porous medium as a set of spherical particles fixed in space at random positions with prescribed statistical structural…

The adsorption of polymer and surfactant molecules onto colloidal particles or droplets in solution can be characterized non-destructively by scattering techniques. In a first part, the general framework of Dynamic Light Scattering, Small…

Soft Condensed Matter · Physics 2007-05-24 Julian Oberdisse

In this paper, we develop an encounter-based model of partial surface adsorption for fractional diffusion in a bounded domain. We take the probability of adsorption to depend on the amount of particle-surface contact time, as specified by a…

Statistical Mechanics · Physics 2023-03-21 Paul C Bressloff

In the present manuscript, we formulate a 3D mathematical model describing the capture of a contaminant in an adsorption column. The novelty of our approach involves the description of mass transfer by adsorption via a nonlinear evolution…

Fluid Dynamics · Physics 2025-07-29 Maria Aguareles , Francesc Font

The present study focuses on the receptor driven endocytosis typical of viral entry into a cell. A locally increased density of receptors at the time of contact between the cell and the virus is necessary in this case. The virus is…

Cell Behavior · Quantitative Biology 2021-01-28 T. Wiegold , S. Klinge , R. P. Gilbert , G. A. Holzapfel

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation…

Soft Condensed Matter · Physics 2015-12-02 Wolf B. Dapp , Martin H. Müser

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…

Condensed Matter · Physics 2009-10-28 I. Pagonabarraga , J. Bafaluy , J. M. Rubi

Spherical multi-layered structures are prevalent in numerous biological systems and engineered applications, including tumor spheroids, layered tissues, and multi-shell nanoparticles for targeted drug delivery. Despite their widespread…

Information Theory · Computer Science 2025-03-19 Mitra Rezaei , Michael Chappell , Adam Noel

Using a microscopic phase-space model of the membrane system, the boundary condition at a membrane is derived. According to the condition, the substance flow across the membrane is proportional to the difference of the substance…

Condensed Matter · Physics 2007-05-23 Tadeusz Kosztolowicz , Stanislaw Mrowczynski

We perform molecular dynamic simulations of liquid nanoparticles deposited on a disordered substrate. The motion of the nanoparticle is characterised by a 'stick and roll' diffusive process. Long simulation times ($\simeq \mu s$), analysis…

Materials Science · Physics 2009-11-10 F. Celestini

In this paper we propose and validate a multiscale model for the description of particle diffusion in presence of trapping boundaries. We start from a drift-diffusion equation in which the drift term describes the effect of bubble traps,…

Numerical Analysis · Mathematics 2023-07-11 Clarissa Astuto , Antonio Raudino , Giovanni Russo

Extensive numerical simulation are reported for the structure and dynamics of large clusters on metal(100) surfaces. Different types of perimeter hopping processes makes center-of-mass of the cluster to follow a a random walk trajectory.…

Statistical Mechanics · Physics 2007-05-23 J. R. Sanchez

In this paper, we present an analytical model for the diffusive molecular communication (MC) system with a reversible adsorption receiver in a fluid environment. The widely used concentration shift keying (CSK) is considered for modulation.…

Emerging Technologies · Computer Science 2016-06-23 Yansha Deng , Adam Noel , Maged Elkashlan , Arumugam Nallanathan , Karen C. Cheung

Using the advection-diffusion equation, we analytically study contaminant transport in a sharply contrasting medium with a diffusion barrier due to localization of a contaminant source in a low-permeability medium. Anomalous diffusion…

Other Condensed Matter · Physics 2011-10-28 O. A. Dvoretskaya , P. S. Kondratenko

Due to the complex interplay between surface adsorption and hydrodynamic interactions, representative microscopic mechanisms of colloidal membrane fouling are still not well understood. Numerical simulations overcome experimental…

Computational Physics · Physics 2018-03-22 Johannes Lohaus , Yannic Martin Perez , Matthias Wessling

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…

Soft Condensed Matter · Physics 2018-11-02 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

Recently, the intrinsic sampling method has been developed in order to obtain, from molecular simulations, the intrinsic structure of the liquid-vapor interface that is presupposed in the classical capillary wave theory. Our purpose here is…

Soft Condensed Matter · Physics 2009-11-13 Daniel Duque , Pedro Tarazona , Enrique Chacón

In cell membranes, proteins and lipids diffuse in a highly crowded and heterogeneous landscape, where aggregates and dense domains of proteins or lipids obstruct the path of diffusing molecules. In general, hindered motion gives rise to…

Soft Condensed Matter · Physics 2010-06-16 Margaret R. Horton , Felix Höfling , Joachim O. Rädler , Thomas Franosch

Single-molecule tracking is a powerful way to look at the dynamic organization of plasma membranes. However, there are some limitations to its use. For example, it was recently observed, using numerical simulation, that time-averaging…

Quantitative Methods · Quantitative Biology 2009-11-13 Nicolas Destainville , Laurence Salome

Diffusion through semipermeable structures arises in a wide range of processes in the physical and life sciences. Examples at the microscopic level range from artificial membranes for reverse osmosis to lipid bilayers regulating molecular…

Statistical Mechanics · Physics 2023-01-11 Paul C Bressloff