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Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

Microparticles migrate in response to gradients in solute concentration through diffusiophoresis and diffusioosmosis. Merging streams of fluid with distinct solute concentrations is a common strategy for producing a steady concentration…

Fluid Dynamics · Physics 2023-06-01 Robben E. Migacz , Guillaume Durey , Jesse T. Ault

In this paper we develop a hybrid version of the encounter-based approach to diffusion-mediated absorption at a reactive surface, which takes into account stochastic switching of a diffusing particle's conformational state. For simplicity,…

Statistical Mechanics · Physics 2022-09-21 Paul C. Bressloff

The friction coefficient of a particle can depend on its position as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation…

Soft Condensed Matter · Physics 2009-11-13 A. W. C. Lau , T. C. Lubensky

Using an adiabatic approximation method, which searches for Tomlinson model-like instabilities for a simple but still realistic model for two crystalline surfaces in the extremely light contact limit, with mobile molecules present at the…

Materials Science · Physics 2009-11-07 C. Daly , J. Zhang , J. B. Sokoloff

We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. We…

Statistical Mechanics · Physics 2012-06-14 J. -F. Rupprecht , O. Bénichou , D. S. Grebenkov , R. Voituriez

In this manuscript, we provide a general theory for how surface phonons couple to molecular adsorbates. Our theory maps the extended dynamics of a surface's atomic vibrational motions to a generalized Langevin equation, and by doing so…

Chemical Physics · Physics 2024-05-03 Ardavan Farahvash , Adam P. Willard

We consider a random diffusion dynamics for an infinite system of hard spheres of two different sizes evolving in $\mathbb{R}^d$, its reversible probability measure, and its projection on the subset of the large spheres. The main feature is…

Probability · Mathematics 2024-03-05 Myriam Fradon , Julian Kern , Sylvie Roelly , Alexander Zass

The competing influence of two types of interactions on surface diffusion is investigated: one of them, epsilon, acts between adsorbed particles, while the other one, eta, between activated and adsorbed particles. To this end, a specific…

Statistical Mechanics · Physics 2016-09-07 Igor Medved' , Anton Trnik , Robert Cerny

We analyze the collective surface diffusion coefficient, $D_c$, near a first-order phase transition at which two phases coexist and the surface coverage, $\te$, drops from one single-phase value, $\te_+$, to the other one, $\te_-$. Contrary…

Statistical Mechanics · Physics 2015-06-04 Igor Medved' , Anton Trnik

In surface diffusion, one of the key observables is the so-called intermediate scattering function which is measured directly from the surface technique called Helium spin echo. In this work, we show that this function can be seen as a…

Statistical Mechanics · Physics 2026-04-17 E. E. Torres-Miyares , S. Miret-Artés

Here the authors provide a generalized Chudley-Elliott expression for activated atom surface diffusion which takes into account the coupling between both low-frequency vibrational motion (namely, the frustrated translational modes) and…

Statistical Mechanics · Physics 2007-05-23 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

We study the non-Arrhenius behavior of surface diffusion near the second-order phase transition boundary of an adsorbate layer. In contrast to expectations based on macroscopic thermodynamic effects, we show that this behavior can be…

Soft Condensed Matter · Physics 2009-10-30 I. Vattulainen , J. Merikoski , T. Ala-Nissila , S. C. Ying

This Communication reports a geometrical factor that is necessary in the diffusion boundary condition across surface steps. Specifically, this factor relates adatom concentration to its spatial gradient at a surface step, and it describes…

Materials Science · Physics 2015-06-03 Xiaobin Niu , Hanchen Huang

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

We present an exact calculation of the mean first-passage time to a small target on the surface of a 2D or 3D spherical domain, for a molecule performing surface-mediated diffusion. This minimal model of interfacial reactions, which…

Statistical Mechanics · Physics 2015-05-18 O. Bénichou , D. Grebenkov , P. Levitz , C. Loverdo , R. Voituriez

We present a study of the spreading of liquid droplets on a solid substrate at very small scales. We focus on the regime where effective wetting energy (binding potential) and surface tension effects significantly influence steady and…

Fluid Dynamics · Physics 2017-02-15 Hanyu Yin , David N. Sibley , Uwe Thiele , Andrew J. Archer

The aim of this review is to provide a concise overview of some of the generic approaches that have been developed to deal with the statistical description of large systems of interacting dissipative 'units'. The latter notion includes,…

Statistical Mechanics · Physics 2017-03-08 Eric Bertin

Molecular dynamics study of a thin (one to five layers) lubricant film between two substrates in moving contact are performed using Langevin equations with an external damping coefficient depending on distance and velocity of atoms relative…

Materials Science · Physics 2009-10-31 O. M. Braun , M. Peyrard

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