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A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

Statistical Mechanics · Physics 2007-05-23 S. Das Sarma , P. Punyindu

We present a two-dimensional theoretical model for the slow chemical corrosion of a thin film of a disordered solid by suitable etching solutions. This model explain different experimental results showing that the corrosion stops…

Statistical Mechanics · Physics 2009-11-11 Andrea Gabrielli , Andrea Baldassarri , Miguel A. Munoz , Bernard Sapoval

A comprehensive approach for simulating lasing dynamics in a liquid crystal based laser is presented. The approach takes into account the transformation of the liquid crystal structure caused by applied voltage. In particular, it allows us…

We propose an analytical model to describe the mechanical deformation of single-crystal diamond following the local sub-superficial graphitization obtained by laser beams or MeV ion microbeam implantation. In this case, a local mass-density…

Materials Science · Physics 2015-02-12 Marco Piccardo , Federico Bosia , Paolo Olivero , Nicola Pugno

We present a lattice-gas (generalised Ising) model for liquid droplets on solid surfaces. The time evolution in the model involves two processes: (i) Single-particle moves which are determined by a kinetic Monte Carlo algorithm. These…

Soft Condensed Matter · Physics 2019-11-06 Mounirah Areshi , Dmitri Tseluiko , Andrew J. Archer

In this paper we introduce 1-$D$ and 2-$D$ discrete models for the dynamic granular matter formation process in the form of a system of difference equations. This approach allows us to differentiate between the influx of the rolling layer…

Numerical Analysis · Mathematics 2013-12-10 Alexander Khapalov , Sergey Lapin

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear dependence of strains with the influence of an existing…

Numerical Analysis · Mathematics 2018-04-23 Thomas S. Brown , Tonatiuh Sánchez-Vizuet , Francisco-Javier Sayas

In this work we present a discrete model that captures the fundamental properties of additively manufactured solids in a minimal setting. The model is based on simplified kinematics and allows for the onset of incompatible deformations…

Soft Condensed Matter · Physics 2023-09-26 Davide Renzi , Sonia Marfia , Giuseppe Tomassetti , Giuseppe Zurlo

Several, recently proposed methods of surface manufacturing based on ion beam sputtering, which involve dual beam setups, sequential application of ion beams from different directions, or sample rotation, are studied with the method of…

Mesoscale and Nanoscale Physics · Physics 2023-01-05 Taha Yasseri , Reiner Kree

Sintering, as a thermal process at elevated temperature below the melting point, is widely used to bond contacting particles into engineering products such as ceramics, metals, polymers, and cemented carbides. Modelling and simulation as…

Materials Science · Physics 2023-02-13 Min Yi , Wenxuan Wang , Ming Xue , Qihua Gong , Bai-Xiang Xu

We extend our 2+1 dimensional discrete growth model (PRE 79, 021125 (2009)) with conserved, local exchange dynamics of octahedra, describing surface diffusion. A roughening process was realized by uphill diffusion and curvature dependence.…

Statistical Mechanics · Physics 2010-05-14 Geza Odor , Bartosz Liedke , Karl-Heinz Heinig

We present a discrete theory for modeling developable surfaces as quadrilateral meshes satisfying simple angle constraints. The basis of our model is a lesser known characterization of developable surfaces as manifolds that can be…

Graphics · Computer Science 2017-07-27 Michael Rabinovich , Tim Hoffmann , Olga Sorkine-Hornung

We present that surface two-plasmon resonance (STPR) in electron plasma sheet produced by femtosecond laser irradiating metal surface is the self-formation mechanism of periodic subwavelength ripple structures. Peaks of overdense electrons…

Other Condensed Matter · Physics 2015-12-08 Hai-Ying Song , Shi-Bing Liu , H. Y. Liu , Yang Wang , Tao Chen , Xiang-Ming Dong

Recent experiments have demonstrated that in a dense monolayer of photo-switchable dye Methyl-Red molecules the relaxation of an initial birefringence follows a power-law decay, typical for glass-like dynamics. The slow relaxation can…

Soft Condensed Matter · Physics 2016-03-15 Raffaele Tavarone , Patrick Charbonneau , Holger Stark

Vector and vortex laser beams are desired in many applications and are usually created by manipulating the laser output or by inserting optical components in the laser cavity. Distinctly, inserting liquid crystals into the laser cavity…

Soft Condensed Matter · Physics 2022-11-14 Urban Mur , Miha Ravnik

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov

Generative diffusion models have achieved remarkable success in producing high-quality images. However, these models typically operate in continuous intensity spaces, diffusing independently across pixels and color channels. As a result,…

Graphics · Computer Science 2025-05-20 Javier E. Santos , Agnese Marcato , Roman Colman , Nicholas Lubbers , Yen Ting Lin

In this paper we advance a stiff solution dynamics [SSD] model to study the regulation of local chemistry near a corroding metal by reaction and diffusion processes in the electrolyte. Using this model we compute the detailed space-time…

Materials Science · Physics 2013-05-01 Bosco Emmanuel

We report on the creation of angle-independent colors on silver using closely time-spaced laser bursts. The use of burst mode, compared to traditional non-burst is shown to increase the Chroma (color saturation) by ~50% and to broaden the…

Femtosecond pulsed lasers have been widely used over the past decades for precise materials structuring at the micro- and nano- scales. In order, though, to realize efficient material processing and account for the formation of laser…

Optics · Physics 2022-10-18 George D. Tsibidis , Panagiotis Lingos , Emmanuel Stratakis