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Related papers: Spiral growth, two-dimensional nucleation, and the…

200 papers

Crystal growth has been widely studied for many years, and, since the pioneering work of Burton, Cabrera and Frank, spirals and target patterns on the crystal surface have been understood as forms of tangential crystal growth mediated by…

Pattern Formation and Solitons · Physics 2012-07-18 Julyan H. E. Cartwright , Antonio G. Checa , Bruno Escribano , C. Ignacio Sainz-Díaz

We demonstrate, using well-established nonequilibrium growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply a surface edge diffusion bias (the Schwoebel barrier) as has been almost…

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

Species diversity in ecosystems is often accompanied by the self-organisation of the population into fascinating spatio-temporal patterns. Here, we consider a two-dimensional three-species population model and study the spiralling patterns…

Populations and Evolution · Quantitative Biology 2013-05-09 Bartosz Szczesny , Mauro Mobilia , Alastair M. Rucklidge

It is now a well established fact that galaxies undergo significant morphological transformation during their lifetimes, manifesting as an evolution along the Hubble sequence from the late to the early Hubble types. The physical processes…

Astrophysics · Physics 2015-06-24 Xiaolei Zhang

We review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is…

Soft Condensed Matter · Physics 2007-05-23 L. Granasy , T. Pusztai , T. Borzsonyi

The role played by a kinetic barrier originated by out-of-plane step edge diffusion, introduced in [Leal \textit{et al.}, \href{https://doi.org/10.1088/0953-8984/23/29/292201}{J. Phys. Condens. Matter \textbf{23}, 292201 (2011)}], is…

Statistical Mechanics · Physics 2019-04-24 Anderson J. Pereira , Sidiney G. Alves , Silvio C. Ferreira

When colloidal particles form a crystal phase on a spherical template, their packing is governed by the effective interaction between them and the elastic strain of bending the growing crystal. For example, if growth commences under…

Soft Condensed Matter · Physics 2017-08-09 Stefan Paquay , Gert-Jan Both , Paul van der Schoot

Spiral galaxies offer a unique opportunity to study the role of star formation in galaxy evolution and to test various theoretical star formation schemes. I review some recent relevant work on the evolution of spiral galaxies. Detailed…

Astrophysics · Physics 2007-05-23 Nikos Prantzos

We describe a novel crystal growth instability that enhances the development of thin edges, promoting the formation of plate-like or hollow columnar morphologies. This instability arises when diffusion-limited growth is coupled with…

Materials Science · Physics 2012-09-25 Kenneth G. Libbrecht

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

Soft Condensed Matter · Physics 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

An analytical validation is obtained for the evolution equation $$h_t=\Delta[ \mathcal{F}^{-1}(-aE \mathcal{F}(h)) - r/h^2 -\Delta h ],$$ introduced in {\cite{TS}} by W.T. Tekalign and B.J. Spencer to describe the heteroepitaxial growth of…

Analysis of PDEs · Mathematics 2017-02-06 Elisa Davoli , Xin Yang Lu

The growth and annealing behavior of strongly twinned homoepitaxial films on Ir(111) has been investigated by scanning tunneling microscopy, low energy electron diffraction and surface X-ray diffraction. In situ surface X-ray diffraction…

Materials Science · Physics 2013-02-25 Sebastian Bleikamp , Johann Coraux , Odile Robach , Gilles Renaud , Thomas Michely

We combine deep optical and IR photometry for 326 spiral galaxies from two recent galaxy samples and report that the surface brightness profiles of late-type spirals are best fit by two exponentials. Moreover, the ratio of bulge and disk…

Astrophysics · Physics 2009-10-28 S. Courteau , R. S. de Jong , A. H. Broeils

The time evolution of a topological Su-Schrieffer-Heeger chain is analyzed through the statistics of speckle patterns. The emergence of topological edge states dramatically affects the dynamical fluctuations of the wavefunction. The…

The growth mechanism of pentacene film formation on SiO2 substrate was investigated with a combination of atomic force microscopy measurements and numerical modeling. In addition to the diffusion-limited aggregation (DLA) that has already…

Soft Condensed Matter · Physics 2009-11-11 Serkan Zorba , Yonathan Shapir , Yongli Gao

We demonstrate, using well-established nonequilibrium limited-mobility solid-on-solid growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply the existence of a surface edge diffusion bias…

Statistical Mechanics · Physics 2009-10-31 S. Das Sarma , P. Punyindu , Z. Toroczkai

We investigate the dynamical evolution of a thermodynamically unstable crystal surface into a hill-and-valley structure. We demonstrate that, for quasi one-dimensional ordering, the equation of motion maps exactly to the modified…

Condensed Matter · Physics 2009-10-22 Fong Liu , H. Metiu

A continuum model for growth of solids is developed, considering adatom deposition, surface diffusion, and configuration dependent incorporation rate. For amorphous solids it is related to surface energy densities. The high adatom density…

Statistical Mechanics · Physics 2007-05-23 Martin Rost

A new model of crystal growth is presented that describes the phenomena on atomic length and diffusive time scales. The former incorporates elastic and plastic deformation in a natural manner, and the latter enables access to times scales…

Materials Science · Physics 2009-11-07 K. R. Elder , Mark Katakowski , Mikko Haataja , Martin Grant

The selection of stacking order in a broad range of close-packed polymorphic materials remains a challenging enigma. Using in situ cryogenic transmission electron microscopy, we uncover the atomistic mechanisms governing the vapour…