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The results of a density-functional-theory study of the formation energies of (100)- and (111)-faceted steps on the Pt(111) surface, as well as of the barrier for diffusion of an adatom on the flat surface, are presented. The step formation…

Materials Science · Physics 2016-08-31 Ghyslain Boisvert , Laurent J. Lewis , Matthias Scheffler

Ion bombardment is known to enhance surface diffusion and affect the surface morphology. To quantify this phenomenon we calculate the ion-induced diffusion constant and its dependence on the ion energy, flux and angle of incidence. We find…

Materials Science · Physics 2009-10-30 Maxim A. Makeev , Albert-Laszlo Barabasi

Particles moving along curved trajectories will diffuse if the curvature fluctuates sufficiently in either magnitude or orientation. We consider particles moving at a constant speed with either a fixed or with a Gaussian distributed…

Soft Condensed Matter · Physics 2009-11-10 Andrew D. Rutenberg , Andrew J. Richardson , Claire J. Montgomery

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

Diffusion of small two dimensional Cu islands (containing up to 10 atoms) on Cu(111) has been studied using the newly developed self-learning Kinetic Monte Carlo SLKMC method. It is based on a database of diffusion processes and their…

We calculate the energy dependence of inclusive and diffractive neutrino-nucleus deep-inelastic scattering cross sections within the dipole picture, focusing on the ultra-high-energy regime. We predict an up to $\sim 10\%$ nuclear…

High Energy Physics - Phenomenology · Physics 2024-09-26 Anh Dung Le , Heikki Mäntysaari

We consider diffusion-controlled evolution of a $d$-dimensional $A$-particle island in the $B$-particle sea at propagation of the sharp reaction front $A+B\to 0$ at equal species diffusivities. The $A$-particle island is formed by a…

Statistical Mechanics · Physics 2019-09-18 Boris M. Shipilevsky

Using a phase-field model which incorporates enhanced diffusion at the nanowire surfaces, we study the effect of different parameters on the stability of intersecting nanowires. Our study shows that at the intersection of nanowires,…

Materials Science · Physics 2021-12-01 Abhinav Roy , Arjun Varma R , M P Gururajan

The role of step edge diffusion (SED) in epitaxial growth is investigated. To this end we revisit and extend a recently introduced simple cubic solid-on-solid model, which exhibits the formation and coarsening of pyramid or mound like…

Statistical Mechanics · Physics 2009-10-31 S. Schinzer , M. Kinne , M. Biehl , W. Kinzel

I examine the molecular dynamics of ice growth from water vapor, focusing on how the attachment kinetics can be augmented by edge-dependent surface diffusion. Although there are significant uncertainties in developing an accurate physical…

Materials Science · Physics 2020-12-25 Kenneth G. Libbrecht

Diffusion in coulomb crystals can be important for the structure of neutron star crusts. We determine diffusion constants $D$ from molecular dynamics simulations. We find that $D$ for coulomb crystals with relatively soft-core $1/r$…

Solar and Stellar Astrophysics · Physics 2015-03-19 J. Hughto , A. S. Schneider , C. J. Horowitz , D. K. Berry

We investigate the energetics of droplets sourced by the thermal fluctuations in a system undergoing a first-order transition. In particular, we confine our studies to two dimensions with explicit calulations in the plane and on the sphere.…

Statistical Mechanics · Physics 2018-06-27 Eric M. Horsley , Maxim O. Lavrentovich , Randall D. Kamien

The coarsening dynamics of three-dimensional islands on a growing film is discussed. It is assumed that the origin of the initial instability of a planar surface is the Ehrlich-Schwoebel step-edge barrier for adatom diffusion. Two…

Statistical Mechanics · Physics 2015-06-25 Lei-Han Tang

Diffusion-limited cluster aggregation (DLCA) is a well established model for the formation of highly porous low-density non-equilibrium structures. One of the main conclusions of the previous studies considering this model is that the…

Soft Condensed Matter · Physics 2019-01-15 Swetlana Jungblut , Jan-Ole Joswig , Alexander Eychmüller

In the electrochemical deposition of thin films the measurement of the current-time curve does not allow for a direct determination of the nucleus growth law, electrode surface coverage and mean film thickness. In this work we present a…

Soft Condensed Matter · Physics 2018-03-07 S. Politi , M. Tomellini

Deposition/removal of metal atoms on the hex reconstructed (100) surface of Au, Pt and Ir should present intriguing aspects, since a new island implies hex -> square deconstruction of the substrate, and a new crater the square -> hex…

Materials Science · Physics 2009-10-31 D. Passerone , F. Ercolessi , E. Tosatti

We describe a theoretical study of the role of adsorbate interactions in island nucleation and growth, using Ag/Pt(111) heteroepitaxy as an example. From density-functional theory, we obtain the substrate-mediated Ag adatom pair interaction…

Materials Science · Physics 2009-10-31 Kristen A. Fichthorn , Matthias Scheffler

In studies of island nucleation and growth, the distribution of capture zones, essentially proximity cells, can give more insight than island-size distributions. In contrast to the complicated expressions, ad hoc or derived from rate…

Statistical Mechanics · Physics 2009-10-27 Alberto Pimpinelli , T. L. Einstein

Particle diffusion in a two dimensional curved surface embedded in $R_3$ is considered. In addition to the usual diffusion flow, we find a new flow with an explicit curvature dependence. New diffusion equation is obtained in $\epsilon$…

Biological Physics · Physics 2015-05-14 Naohisa Ogawa

In one-dimension, the diffusion of particles along a line is slowed by the addition of energy barriers. The same is true in two-dimensions, provided that the confining channel in which the particles move doesn't change shape. However, if…

Statistical Mechanics · Physics 2022-06-08 Thomas Gray , Claudio Castelnovo , Ee Hou Yong