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Related papers: Crystal growth as an excitable medium

200 papers

The heat transfer (conductive, convective, radiative) and the related problems (the unknown phase boundary fluid/crystal, the assessment of the quality of the grown crystals) encountered in the melt and vapour growth of single crystal as…

Fluid Dynamics · Physics 2023-01-03 A. I. Zhmakin

Lattice defects in crystalline materials create long-range elastic fields which can be modelled on the atomistic scale using an infinite system of discrete nonlinear force balance equations. Starting with these equations, this work…

Analysis of PDEs · Mathematics 2022-08-10 Julian Braun , Thomas Hudson , Christoph Ortner

Nacre, commonly known as mother-of-pearl, is a remarkable biomineral that in red abalone consists of layers of 400-nm thick aragonite crystalline tablets confined by organic matrix sheets, with the $(001)$ crystal axes of the aragonite…

Soft Condensed Matter · Physics 2009-11-13 S. N. Coppersmith , P. U. P. A. Gilbert , R. A. Metzler

We introduce a three-dimensional, computationally feasible, mesoscopic model for snow crystal growth, based on diffusion of vapor, anisotropic attachment, and a semi-liquid boundary layer. Several case studies are presented that faithfully…

Mathematical Physics · Physics 2007-11-27 Janko Gravner , David Griffeath

Understanding how growth induces form is a longstanding biological question. Many studies concentrated on the shapes of plant cells, fungi or bacteria. Some others have shown the importance of the mechanical properties of bacterial walls…

Biological Physics · Physics 2007-05-23 Arezki Boudaoud

In this paper we focus on crystal surfaces led out of equilibrium by a growth or erosion process. As a consequence of that the surface may undergo morphological instabilities and develop a distinct structure: ondulations, mounds or…

Materials Science · Physics 2015-06-05 Paolo Politi

As a model for a suspension of hard-sphere like colloidal particles where small nonadsorbing dissolved polymers create a depletion attraction, we introduce an effective colloid-colloid potential closely related to the Asakura-Oosawa model…

Soft Condensed Matter · Physics 2015-10-28 Antonia Statt , Peter Virnau , Kurt Binder

The nucleation and growth kinetics of highly ordered nanocrystal superlattices during the evaporation of nanocrystal colloidal droplets was elucidated by in situ time resolved small-angle x-ray scattering. We demonstrated for the first time…

Soft Condensed Matter · Physics 2009-11-10 Suresh Narayanan , Jin Wang , Xiao-Min Lin

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

Colloids are abundant in nature, science and technology, with examples ranging from milk to quantum dots and the "colloidal atom" paradigm. Similarly, liquid crystal ordering is important in contexts ranging from biological membranes to…

Soft Condensed Matter · Physics 2017-12-29 Ivan I. Smalyukh

NaCl crystal nucleation from metastable solutions has long been considered to occur according to a single-step mechanism. Recent experimental observations suggest that NaCl crystals emerge from disordered intermediates which is seemingly at…

Materials Science · Physics 2022-10-12 Aaron R. Finney , Matteo Salvalaglio

This review introduces the elasticity theory of two-dimensional crystals and nematic liquid crystals on curved surfaces, the energetics of topological defects (disclinations, dislocations and pleats) in these ordered phases, and the…

Soft Condensed Matter · Physics 2014-01-21 Vinzenz Koning , Vincenzo Vitelli

Classical theories of crystal nucleation and growth from the liquid assume activated processes that are interface limited, with the atoms individually joining the growing interface by jumps that occur at a rate that is determined by the…

Atomic Physics · Physics 2023-01-02 Fangzheng Chen , Zohar Nussinov , K. F. Kelton

The processes of radiation defects formation and evolution have been simulated in cubic dielectric crystals by the computational method of cellular automata. If suppose that the defects concentration as a parameter, which characterizes a…

Cellular Automata and Lattice Gases · Physics 2011-05-03 K. Baktybekov , Ye. Vertyagina

Spiral wave, whose rotation center can be regarded as a point defect, widely exists in various two dimensional excitable systems. In this paper, by making use of \emph{Duan's topological current theory}, we obtain the charge density of…

Pattern Formation and Solitons · Physics 2009-05-06 Ji-Rong Ren , Tao Zhu , Shu-Fan Mo

As a departure from existing continuum approaches for describing the stability and evolution of surfaces of crystalline materials, this article provides a description of surface evolution based on the physics of the main feature imposed by…

Condensed Matter · Physics 2009-11-07 V. B. Shenoy , L. B. Freund

We use a combined phase-field/lattice-Boltzmann scheme [D. Medvedev, K. Kassner, Phys. Rev. E {\bf 72}, 056703 (2005)] to simulate non-facetted crystal growth from an undercooled melt in external flows. Selected growth parameters are…

Materials Science · Physics 2009-11-11 Dmitry Medvedev , Thomas Fischaleck , Klaus Kassner

In this study, we present an experimental work on bubble nucleation and growth using a model system comprised of viscoelastic polyvinyl butyral confined in a Hele-Shaw cell geometry that is decompressed at elevated temperatures. The…

Soft Condensed Matter · Physics 2025-08-05 Carlos Arauz-Moreno , Keyvan Piroird , Elise Lorenceau

Chiral crystals, like chiral molecules, cannot be superimposed onto their mirror images -- a fundamental property that has been linked to interesting physical behavior and exploited in functional devices. Among the simplest inorganic…

Materials Science · Physics 2024-10-29 Yuxing Zhou , Stephen R. Elliott , Daniel F. Thomas du Toit , Wei Zhang , Volker L. Deringer

A phase field crystal model is used to investigate the mechanisms of formation and growth of early clusters in quenched/aged dilute binary alloys, a phenomenon typically outside the scope of molecular dynamics time scales. We show that…

Materials Science · Physics 2012-10-05 Vahid Fallah , Jonathan Stolle , Nana Ofori-Opoku , Shahrzad Esmaeili , Nikolas Provatas
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