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We investigate a modified version of the $AB$ random sequential adsorption model. Specifically, this model involves the deposition of two distinct types of particles onto a lattice, with the constraint that different types cannot occupy…

Mathematical Physics · Physics 2024-08-12 Charles S. do Amaral , Diogo C. dos Santos

Understanding and optimizing thin-film synthesis requires measuring the diffusion length $d_\alpha$ of adsorbed growth precursors. Despite technological advances, in-situ measurements of $d_\alpha$ are often unachievable due to harsh…

The computational method of discrete dislocation dynamics (DDD), used as a coarse-grained model of true atomistic dynamics of lattice dislocations, has become of powerful tool to study metal plasticity arising from the collective behavior…

Materials Science · Physics 2023-09-27 Nicolas Bertin , Vasily V. Bulatov , Fei Zhou

In this paper a lattice model for diffusional transport of particles in the interphase cell nucleus is proposed. Dense networks of chromatin fibers are created by three different methods: randomly distributed, non-interconnected obstacles,…

Biological Physics · Physics 2009-11-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

We propose a generic model for thin films and shallow drops of a polar active liquid that have a free surface and are in contact with a solid substrate. The model couples evolution equations for the film height and the local polarization…

Fluid Dynamics · Physics 2021-07-20 Sarah Trinschek , Fenna Stegemerten , Karin John , Uwe Thiele

The steps at the crystal surfaces could be transparent for the migrating adatoms. In the case of significant transparency the velocity of a given step in a given moment is affected by detachment of atoms from rather distant steps in rather…

Other Condensed Matter · Physics 2008-10-15 Bogdan Ranguelov , Stoyan Stoyanov

Image rescaling aims to learn the optimal low-resolution (LR) image that can be accurately reconstructed to its original high-resolution (HR) counterpart, providing an efficient image processing and storage method for ultra-high definition…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Ce Wang , Zhenyu Hu , Wanjie Sun , Zhenzhong Chen

Dewetting of thin liquid films is monitored in situ by atomic force microscopy, results are compared with simulations. The experimental setting is mimicked as close as possible using the experimental parameters including the effective…

Soft Condensed Matter · Physics 2007-05-23 Jürgen Becker , Günther Grün , Ralf Seemann , Karin Jacobs

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

Analysis of PDEs · Mathematics 2019-02-19 Leonard Kreutz , Paolo Piovano

Random walks (RW) of particles adsorbed in the internal walls of porous deposits produced by ballistic-type growth models are studied. The particles start at the external surface of the deposits and enter their pores, in order to simulate…

Statistical Mechanics · Physics 2015-06-17 F. D. A. Aarao Reis , Dung di Caprio

As a first step to understand anomalous kinetic roughening with multifractality in recent experiments of the vapor deposition polymerization (VDP) growth, we study a simple toy model of the VDP growth in a (1+1)-dimensional lattice, along…

Statistical Mechanics · Physics 2009-02-12 Seung-Woo Son , Meesoon Ha , Hawoong Jeong

Growth of atomic indium chains - 1D islands - on the Si(100)-2x1 surface was observed by scanning tunneling microscopy (STM) at room temperature and simulated by means of a kinetic Monte Carlo method. Density of indium islands and island…

Materials Science · Physics 2015-05-13 Jakub Javorský , Martin Setvín , Ivan Ošt'ádal , Pavel Sobotík , Miroslav Kotrla

The exclusion process in which particles may jump any distance l>=1 with the probability that decays as l^-(1+sigma) is studied from coarse-grained equation for density profile in the limit when the lattice spacing goes to zero. For…

Statistical Mechanics · Physics 2008-05-16 J. Szavits-Nossan , K. Uzelac

We formulate a new model for transport in stochastic media with long-range spatial correlations where exponential attenuation (controlling the propagation part of the transport) becomes power law. Direct transmission over optical distance…

Optics · Physics 2021-07-13 Anthony B. Davis , Feng Xu

In an attempt to find generic features on the fractal growth of Au films deposited on Ru(001), a simple simulation model based on irreversible diffusion-limited aggregation (DLA) is discussed. Highly irregular two-dimensional dentritic…

Condensed Matter · Physics 2009-10-22 E. Canessa , A. Calmetta

We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a continuum law for the surface flux in terms of a new…

Materials Science · Physics 2009-11-13 John Quah , Dionisios Margetis

We present a practical roadmap to achieve optical cycling and laser cooling of asymmetric top molecules (ATMs). Our theoretical analysis describes how reduced molecular symmetry, as compared to diatomic and symmetric non-linear molecules,…

Atomic Physics · Physics 2020-08-05 Benjamin L. Augenbraun , John M. Doyle , Tanya Zelevinsky , Ivan Kozyryev

Molecular dynamics simulations of ultrathin water film confined between atomically flat rigid diamond plates are described. Films with thickness of one and two molecular diameters are concerned and TIP4P model is used for water molecules.…

Statistical Mechanics · Physics 2009-03-25 A. V. Khomenko , N. V. Prodanov

A general expression is introduced for the tracer diffusivity in complex periodic energy landscapes with more than one distinct hop rate in two- and three-dimensional diluted systems (low coverage, single-tracer limit). For diffusion in two…

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