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Related papers: Energy barriers for diffusion on stepped Pt(111) s…

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Motivated by studies of the Greenberg-Hastings cellular automata (GHCA) as a caricature of excitable systems, in this paper we study kink-antikink dynamics in the perhaps simplest PDE model of excitable media given by the scalar reaction…

Analysis of PDEs · Mathematics 2020-12-02 Antoine Pauthier , Jens D. M. Rademacher , Dennis Ulbrich

We have established previously, in a lead-in study, that the spreading of liquids in particulate porous media at low saturation levels, characteristically less than 10% of the void space, has very distinctive features in comparison to that…

Fluid Dynamics · Physics 2018-08-21 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

A model that describes self diffusion, island nucleation and film growth on FCC(001) metal substrates is presented. The parameters of the model are optimized to describe Cu diffusion on Cu(001), by comparing activation energy barriers to a…

Materials Science · Physics 2008-02-03 O. Biham , I. Furman , M. Karimi , G. Vidali , R. Kennett , H. Zeng

It is shown that quantum effects play determining role in nitrogen adatom diffusion due to several different factors. This could be related to the change of the energy of the quantum states and also due to the redistribution of electrons…

Materials Science · Physics 2025-02-24 Paweł Strak , Cyprian Sobczak , Stanislaw Krukowski

In many biological and small scale technological applications particles may transiently bind to a cylindrical surface. In between two binding events the particles diffuse in the bulk, thus producing an effective translation on the cylinder…

Statistical Mechanics · Physics 2015-05-27 Aleksei V. Chechkin , Irwin M. Zaid , Michael A. Lomholt , Igor M. Sokolov , Ralf Metzler

Using kinetic Monte Carlo simulations and a bond-counting ansatz, thermal stability and diffusion of an adatom island on a crystal surface are studied. At low temperatures, the diffusion constant $D$ is found to decrease for a wide range of…

Condensed Matter · Physics 2009-10-31 T. Muller , W. Selke

We investigate the transport and separation of overdamped particles under the action of a uniform external force in a two-dimensional periodic energy landscape. Exact results are obtained for the deterministic transport in a square lattice…

Soft Condensed Matter · Physics 2013-05-29 John Herrmann , Michael Karweit , German Drazer

Low temperature surface diffusion is driven by the thermally activated hopping of adatoms between adsorption sites. Helium spin-echo techniques, capable of measuring the sub-picosecond motion of individual adatoms, have enabled the…

Statistical Mechanics · Physics 2022-01-13 J. Wilkinson , J. Ellis

For the contact of two finite portions of interacting rigid crystalline surfaces, we compute the dependence of the pinning energy barrier on the misfit angle and contact area. The resulting data are used to investigate the distribution of…

Statistical Mechanics · Physics 2011-07-19 Nicola Manini , O. M. Braun

Processes of diffusion of As and P atoms in InP and InAs, and atomic and energy structure of group-V vacancies and interstitial P and As atoms in InP and InAs have been investigated using density functional theory. Formation energies of…

Materials Science · Physics 2024-04-03 Ivan A. Aleksandrov , Konstantin S. Zhuravlev

We report a computer-simulation study of the equilibrium phase diagram of a three-dimensional system of particles with a repulsive step potential. The phase diagram is obtained using free-energy calculations. At low temperatures, we observe…

Soft Condensed Matter · Physics 2015-05-13 N. V. Gribova , Yu. D. Fomin , Daan Frenkel , V. N. Ryzhov

This paper models the classical diffusion of a main particle through a heatbath by means of a pre-limit microscopic representation of its drifted momentum and energy transfers at collision times. The collision point linear interpolated path…

Mathematical Physics · Physics 2007-05-23 Johan Beumee

Equation for anomalous diffusion in momentum space, recently obtained in the recent paper (S.A. Trigger, ArXiv 0907.2793 v1, [cond-matt. stat.-mech.], 16 July 2009) is solved for the stationary and non-stationary cases on basis of the…

Statistical Mechanics · Physics 2009-09-08 S. A. Trigger

We calculate the characteristic energies of fusion between planar bilayers as afunction of the distance between them, measured from the hydrophobic/hydrophilic interface of one of the two nearest, cis, leaves to the other. The two leaves of…

Soft Condensed Matter · Physics 2009-11-13 J. Y. Lee , M. Schick

A novel combination of discontinuous molecular dynamics and the Langevin equation, together with an intermediate-resolution model, are used to carry out long (several $\mu$s) simulation and study folding transition and transport of proteins…

Soft Condensed Matter · Physics 2011-11-09 Leili Javidpour , Muhammad Sahimi , M. Reza Rahimi Tabar

We propose a new mechanism to alter the nature of the potential barriers when a biased Brownian particle under goes a constrained motion in narrow, periodic channel. By changing the angle of the external bias, the nature of the potential…

Statistical Mechanics · Physics 2010-12-06 P. S. Burada , G. Schmid

The step motions considered are those in which crystallization is controlled by a single diffusion process, either the substance diffusion for growth from solution or the flow of latent heat from the step for growth from melt. Quasi-static…

Condensed Matter · Physics 2009-10-22 Serge Yu. Potapenko

Density functional theory based calculations of the energetics of adsorption and diffusion of CO on Pt islets and on the Ru(0001) substrate show that CO has the lowest adsorption energy at the center of the islet, and its bonding increases…

Materials Science · Physics 2009-11-13 Sergey Stolbov , Marisol Alcantara Ortigoza , Radoslav Adzic , Talat S. Rahman

Here, an approach in terms of shot noise is proposed to study and characterize surface diffusion and low vibrational motion when having interacting adsorbates on surfaces. In what we call statistical limit, that is, at long times and high…

Statistical Mechanics · Physics 2007-06-13 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

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
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