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Related papers: Liquid crystalline growth within a phase-field cry…

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The problem of heterogeneous nucleation of second-phase in alloys in the vicinity of elastic defects is considered. The defect can be a dislocation line or a crack tip residing in a crystalline solid. We use the Ginzburg-Landau equation to…

Materials Science · Physics 2011-10-07 Christina Bjerkén , Ali R. Massih

We use molecular dynamics to study the ordering of a nematic liquid crystal around a spherical particle or droplet. Homeotropic boundary conditions and strong anchoring create a hedgehog director configuration on the particle surface and in…

Soft Condensed Matter · Physics 2013-03-19 D. Andrienko , G. Germano , M. P. Allen

Extensions of a previously presented Landau-de Gennes type liquid crystalline phase transition model for the direct isotropic/smectic-A (lamellar) a phase transition to the direct isotropic/smectic-C (tilted lamellar) transition are…

Soft Condensed Matter · Physics 2008-12-02 Nasser Mohieddin Abukhdeir , Alejandro D. Rey

In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the…

Soft Condensed Matter · Physics 2009-10-31 Mehran Kardar

Partially phase-separated liquid-crystal/polymer dispersions display highly fibrillar domain morphologies that are dramatically different from the typical structures found in isotropic mixtures. To explain this, we numerically explore the…

Soft Condensed Matter · Physics 2009-10-31 Amelia M. Lapena , Sharon C. Glotzer , Stephen A. Langer , Andrea J. Liu

Understanding the morphology formation process of solution-cast photoactive layers (PALs) is crucial to derive design rules for optimized and reliable third generation solar cell fabrication. For this purpose, a Phase-Field (PF)…

Materials Science · Physics 2023-10-19 Maxime Siber , Olivier J. J. Ronsin , Jens Harting

Complex crystal structures are composed of multiple local environments, and how this type of order emerges spontaneously during crystal growth has yet to be fully understood. We study crystal growth across various structures and along…

Soft Condensed Matter · Physics 2024-06-03 Maya M. Martirossyan , Matthew Spellings , Hillary Pan , Julia Dshemuchadse

We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation describing the evolution of phase field and a Cahn-Hilliard…

Numerical Analysis · Mathematics 2022-09-29 Xiaoxia Tang , Shuwang Li , John S. Lowengrub , Steven M. Wise

The critical dynamics of dislocation avalanches in plastic flow is examined using a phase field crystal (PFC) model. In the model, dislocations are naturally created, without any \textit{ad hoc} creation rules, by applying a shearing force…

Materials Science · Physics 2010-06-14 Pak Yuen Chan , Georgios Tsekenis , Jonathan Dantzig , Karin A. Dahmen , Nigel Goldenfeld

Photonic crystals (PhCs) have emerged as a popular platform for realizing various topological phases due to their flexibility and potential for device applications. In this article, we present a comprehensive classification of topological…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Sachin Vaidya , Ali Ghorashi , Thomas Christensen , Mikael C. Rechtsman , Wladimir A. Benalcazar

The crystal plasticity finite element method (CPFEM) is used to investigate the coupling between the cylindrical void growth or collapse and grain refinement in face-centered cubic (FCC) single crystals. A 2D plane strain model with one…

Materials Science · Physics 2023-07-06 Saketh Virupakshi , Katarzyna Kowalczyk-Gajewska

Tubular crystals, two-dimensional lattices wrapped into cylindrical topologies, arise in many contexts, including botany and biofilaments, and in physical systems such as carbon nanotubes. The geometrical principles of botanical…

Soft Condensed Matter · Physics 2016-10-05 Daniel A. Beller , David R. Nelson

Using density-functional theory in the restricted-orientation approximation, we analyse the liquid-crystal patterns and phase behaviour of a fluid of hard rectangular particles confined in a two-dimensional square nanocavity of side length…

Soft Condensed Matter · Physics 2015-06-16 Miguel Gonzalez-Pinto , Yuri Martinez-Raton , Enrique Velasco

The metastable vapor-liquid coexistence of short-range attractive fluids hinders the formation of crystal nuclei, which in turn makes difficult the progress of the system towards its vapor-solid ground state. In this letter we show that…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Gerardo Odriozola , Felipe Jiménez-Ángeles , Pedro Orea

Stable array of point defects was generated in nematic liquid crystal. Point defects with topological charge of +1 and -1 (hedgehogs) were generated in vertically aligned liquid crystal cell. The hedgehogs were arranged in square or…

Soft Condensed Matter · Physics 2019-06-18 Jieh-Wen Tsung

Effects of scale coupling between mesoscopic slowly-varying envelopes of liquid-solid profile and the underlying microscopic crystalline structure are studied in the phase-field-crystal (PFC) model. Such scale coupling leads to nonadiabatic…

Materials Science · Physics 2015-06-12 Zhi-Feng Huang

We consider a two-dimensional lattice model for liquid crystals consisting of long rods interacting via purely hard core interactions, with two allowed orientations defined by the underlying lattice. We rigorously prove the existence of a…

Mathematical Physics · Physics 2012-01-31 Margherita Disertori , Alessandro Giuliani

With computer simulations of the hard sphere model, we examine in detail the microscopic pathway connecting the metastable melt to the emergence of crystalline clusters. In particular we will show that the nucleation of the solid phase does…

Soft Condensed Matter · Physics 2015-06-12 John Russo , Hajime Tanaka

The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible.…

Materials Science · Physics 2007-05-23 M. Dejmek , R. Folch , A. Parisi , M. Plapp

Many structural materials (metal alloys, polymers, minerals, etc.) are formed by quenching liquids into crystalline solids. This highly non-equilibrium process often leads to polycrystalline growth patterns that are broadly termed…

Materials Science · Physics 2009-11-10 László Gránásy , Tamás Pusztai , György Tegze , James A. Warren , Jack F. Douglas