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We study the short time properties of a two-dimensional film growth model in which incident particles execute advective-diffusive motion with a vertical step followed by $D$ horizontal steps. The model represents some features of the…

Statistical Mechanics · Physics 2014-09-10 T. J. Oliveira , F. D. A. Aarao Reis

We studied the step dynamics during crystal sublimation and growth in the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps. For this limit we formulate a model free of the quasi-static…

Chemical Physics · Physics 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

We study (2+1)-dimensional single step model (SSM) for crystal growth including both deposition and evaporation processes parametrized by a single control parameter $p$. Using extensive numerical simulations with a relatively high…

Statistical Mechanics · Physics 2017-07-06 H. Dashti-Naserabadi , A. A. Saberi , S. Rouhani

We study a simple growth model for (d+1)-dimensional films of binary alloys in which atoms are allowed to interact and equilibrate at the surface, but are frozen in the bulk. The resulting crystal is highly anisotropic: Correlations…

Statistical Mechanics · Physics 2009-10-28 Barbara Drossel , Mehran Kardar

We study the dynamics of a growing crystalline facet where the growth mechanism is controlled by the geometry of the local curvature. A continuum model, in (2+1) dimensions, is developed in analogy with the Kardar-Parisi-Zhang (KPZ) model…

Statistical Mechanics · Physics 2013-04-01 Amit K. Chattopadhyay

We study a model, introduced initially by Gates and Westcott to describe crystal growth evolution, which belongs to the Anisotropic KPZ universality class. It can be thought of as a $(2+1)$-dimensional generalisation of the well known…

Probability · Mathematics 2020-06-17 Vincent Lerouvillois

A probabilistic discrete model for 2D protein crystal growth is presented. This model takes into account the available space and can describe growing processes of different nature due to the versatility of its parameters which gives the…

Biological Physics · Physics 2019-02-20 V. J. Bolós , R. Benítez , A. Eleta-López , J. L. Toca-Herrera

We present a new method for simulating crystal growth by energetic beam deposition. The method combines a Kinetic Monte-Carlo simulation for the thermal surface diffusion with a small scale molecular dynamics simulation of every single…

Materials Science · Physics 2009-10-31 Joachim Jacobsen , B. H. Cooper , James P. Sethna

Through extensive molecular simulations we determine a phase diagram of attractive, flexible polymer chains in two and three dimensions. A surprisingly rich collection of distinct crystal morphologies appear, which can be finely tuned…

The dynamic effects, such as the steering and the screening effects during deposition, on an epitaxial growth (Cu/Cu(001)), is studied by kinetic Monte Carlo simulation that incorporates molecular dynamic simulation to rigorously take the…

Materials Science · Physics 2016-08-31 Jikeun Seo , Hye-Young Kim , J. -S. Kim

Structural and kinetic aspects of 2-D irreversible metal deposition under potentiostatic conditions are analyzed by means of dynamic Monte Carlo simulations employing embedded atom potentials for a model system. Three limiting models, all…

Materials Science · Physics 2007-05-23 M. Cecilia Gimenez , Mario G. Del Popolo , Ezequiel P. M. Leiva

Crystal nucleation and growth processes induced by an externally applied shear strain in a model metallic glass are studied by means of nonequilibrium molecular dynamics simulations, in a range of temperatures. We observe that the…

Materials Science · Physics 2010-09-30 Anatolii Mokshin , J. -L. Barrat

We couple a free solute diffusion model to a model of crystal surface growth represented by, but not limited to, a (2 + 1)-dimensional solid-on-solid (SOS) model confined by a flat surface. We use kinetic Monte Carlo (KMC) with dissolution…

Soft Condensed Matter · Physics 2020-06-03 Jørgen Høgberget , Dag K. Dysthe , Espen Jettestuen

This paper presents a comprehensive analysis of simple models useful to analyze the growth of nanostructures obtained by cluster deposition. After detailing the potential interest of nanostructures, I extensively study the first stages of…

Materials Science · Physics 2015-06-25 Pablo Jensen

We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end. In presence of defects, the pile-up…

Statistical Mechanics · Physics 2009-03-19 Fabio Leoni , Stefano Zapperi

The dynamics of the discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is investigated by Monte Carlo simulations. The mobility of the growing surface was studied as a function of a small driving force…

Condensed Matter · Physics 2009-10-28 D. Cule

Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

Based upon kinetic Monte Carlo simulations of crystallization in a simple polymer model we present a new picture of the mechanism by which the thickness of lamellar polymer crystals is constrained to a value close to the minimum…

Condensed Matter · Physics 2007-05-23 Jonathan Doye , Daan Frenkel

The crystallization proceeds by the advance of the crystal faces into the disordered phase at the expense of the supersaturation which is not sustained in our model. Using a conservation constraint for the transformation ratio and a kinetic…

Materials Science · Physics 2024-03-08 V. V. Ivanov , C. Tielemann , K. Avramova , S. Reinsch , V. Tonchev

We study a two-dimensional model for interacting colloidal particles which displays spontaneous clustering. Within this model we investigate the competition between the pinning to a periodic corrugation potential, and a sideways constant…

Soft Condensed Matter · Physics 2018-05-23 Mirko Rossini , Lorenzo Consonni , Andrea Stenco , Luciano Reatto , Nicola Manini
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