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We analyze diffusion of particles on a two dimensional square lattice. Each lattice site contains an arbitrary number of particles. Interactions affect particles only in the same site, and are macroscopically represented by the excess…

Statistical Mechanics · Physics 2022-08-17 Matías A. Di Muro , Miguel Hoyuelos

Diffusion on a T fractal lattice under the influence of topological biasing fields is studied by finite size scaling methods. This allows to avoid proliferation and singularities which would arise in a renormalization group approach on…

Condensed Matter · Physics 2015-06-25 G. Sartoni , A. L. Stella

A relation between the effective diffusion coefficient in a lattice with random site energies and random trasition rates and the macroscopic conductivity in a random resistor network allows for elucidating possible sources of anomalous…

Statistical Mechanics · Physics 2012-05-14 Federico Camboni , Igor M. Sokolov

Diffusion of dopants in rutile is the fundamental process that determines the performance of many devices in which rutile is used. The diffusion behavior is known to be highly sample-dependent, but the reasons for this are less well…

Materials Science · Physics 2017-08-09 Linggang Zhu , Graeme J. Ackland , Qing-Miao Hu , Jian Zhou , Zhimei Sun

In this work, we perform a comparative study of the size dependence of diffusion of charged and neutral solutes in water. The neutral solute in water shows a nonmonotonicity in the size dependence of diffusion. This is usually connected to…

Soft Condensed Matter · Physics 2018-02-26 Sayantan Acharya , Sarika Maitra Bhattacharyya

We report on early stages of submonolayer Ag island coarsening on Ag(111) surface at room temperature ($300$ K) carried out using realistic kinetic Monte Carlo (KMC) simulations. We find that during early stages, coarsening proceeds as a…

Materials Science · Physics 2015-05-19 G. Nandipati , A. Kara , S. I. Shah , T. S. Rahman

We show, in this report, how a population balance model differential equation describing batch crystal growth from solution can be solved in closed form for the case of diffusion limited growth with and without modeling the effects of…

Materials Science · Physics 2024-11-11 Douglas A. Barlow , Kylene Monaghan

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

Kinetic helicity is a fundamental characteristics of astrophysical turbulent flows. It is not only responsible for the generation of large-scale magnetic fields in the Sun, stars, and spiral galaxies, but it also affects turbulent diffusion…

Fluid Dynamics · Physics 2025-05-15 Igor Rogachevskii , Nathan Kleeorin , Axel Brandenburg

Diffraction of atoms from surfaces provides detailed insights into structures, interactions, and dynamical processes. However, currently the method is limited to measurements in reflection - diffraction through materials has only been…

We study the equilibrium shape, shape transitions and optimal size of strained heteroepitaxial nanoislands with a two-dimensional atomistic model using simply adjustable interatomic pair potentials. We map out the global phase diagram as a…

Materials Science · Physics 2008-12-04 J. Jalkanen , O. Trushin , E. Granato , S. C. Ying , T. Ala-Nissila

We explore the nature of anomalous diffusion of wave packets in disorder-free incommensurate multi-walled carbon nanotubes. The spectrum-averaged diffusion exponent is obtained by calculating the multifractal dimension of the energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shidong Wang , Milena Grifoni , Stephan Roche

We apply a theory of wave propagation through a turbulent medium to the scattering of radio waves in pulsar magnetospheres. We find that under conditions of strong density modulation the effects of magnetospheric scintillations in…

Astrophysics · Physics 2009-10-31 Maxim Lyutikov , Anuj Parikh

We have performed Kinetic Monte Carlo simulation work to study the effect of diffusion anisotropy, bonding anisotropy and edge diffusion on island formation at different temperatures during the sub-monolayer film growth in Molecular Beam…

Materials Science · Physics 2019-12-13 Jagannath Devkota , Shankar P. Shrestha

The purpose of this paper is to report some new experimental and theoretical results about the analysis of in-plane lattice spacing oscillations during two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of these…

Materials Science · Physics 2015-05-13 P. Muller , P. turban , L. Lapena , S. Andrieu

We report new chemoconvective pattern formation phenomena observed in a two-layer system of miscible fluids filling a vertical Hele-Shaw cell. We show both experimentally and theoretically that the concentration-dependent diffusion coupled…

Fluid Dynamics · Physics 2015-06-26 Dmitry Bratsun , Konstantin Kostarev , Alexey Mizev , Elena Mosheva

Ship design is a complex design process that may take a team of naval architects many years to complete. Improving the ship design process can lead to significant cost savings, while still delivering high-quality designs to customers. A new…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Noah J. Bagazinski , Faez Ahmed

Changes in lattice structure across sub-regions of protein crystals are challenging to assess when relying on whole crystal measurements. Because of this difficulty, macromolecular structure determination from protein micro and nano…

We use semi-analytical modelling of galaxy formation to predict the redshift-size-evolution of elliptical galaxies. Using a simple model in which relative sizes of elliptical galaxies of a given mass correlate with the fraction of stars…

Astrophysics · Physics 2011-02-11 Sadegh Khochfar , Joseph Silk

We show that elongated nanowires can be grown on crystal surfaces by allowing large strained two-dimensional islands to desorb by varying the adatom supersaturation or chemical potential. The width of the wires formed in this process is…

Materials Science · Physics 2009-11-10 V. B. Shenoy