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We present results of molecular simulations that predict the phases formed by the self-assembly of model nanospheres functionalized with a single polymer "tether", including double gyroid, perforated lamella and crystalline bilayer phases.…

Soft Condensed Matter · Physics 2007-05-23 Christopher R. Iacovella , Aaron S. Keys , Mark A. Horsch , Sharon C. Glotzer

Manipulating the way in which colloidal particles self-organise is a central challenge in the design of functional soft materials. Meeting this challenge requires the use of building blocks that interact with one another in a highly…

Soft Condensed Matter · Physics 2021-03-30 Joe G Donaldson , Peter Schall , Laura Rossi

The dynamics of microphase separation and the orientation of lamellae in diblock copolymers is investigated in terms of a mean-field model. The formation of lamellar structures and their stable states are explored and it is shown that…

Soft Condensed Matter · Physics 2015-06-15 Vanessa Weith , Alexei Krekhov , Walter Zimmermann

The ordering of nanoparticles into predetermined configurations is of importance to the design of advanced technologies. In this work, we moderate the surface anchoring against the bulk elasticity of liquid crystals to dynamically shape…

Soft Condensed Matter · Physics 2023-12-01 Lisa Tran , Hye-Na Kim , Ningwei Li , Shu Yang , Kathleen J. Stebe , Randall D. Kamien , Martin F. Haase

A strategy for the systematic design of polymeric superlattices with tailor-made mini-bandgaps and carrier mini-effective masses is described and computationally implemented by means of an envelope crystalline-orbital method, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Cesar A. Mujica-Martinez , Julio C. Arce

Site-controlled quantum dots formed during the deposition of (Al)GaAs layers by metalorganic vapor-phase epitaxy on GaAs(111)B substrates patterned with inverted pyramids result in geometric and compositional self-ordering along the…

Materials Science · Physics 2013-06-11 V. Dimastrodonato , E. Pelucchi , P. A. Zestanakis , D. D. Vvedensky

The most energetically favourable arrangement of low-density electrons in an infinite two-dimensional plane is the ordered triangular Wigner lattice. However, in most instances of contemporary interest one deals instead with finite clusters…

Plasma Physics · Physics 2012-04-27 A. Radzvilavičius , E. Anisimovas

Co-assembly of inorganic nanoparticles (NPs) and nanostructured polymer matrix represents an intricate interplay of enthalpic or entropic forces. Particle size largely affects the phase behavior of the nanocomposite. Theoretical studies…

Soft Condensed Matter · Physics 2022-04-25 Le Ma , Hejin Huang , Peter Ercius , Alfredo Alexander-Katz , Ting Xu

Nanocomposite materials made of block copolymer and nanoparticles display properties which can be different from the purely polymeric matrix. The resulting material is a crossover of the original properties of the block copolymer and the…

Soft Condensed Matter · Physics 2019-11-04 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga

Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and…

Physics and Society · Physics 2017-11-15 Milovan Suvakov , Miroslav Andjelkovic , Bosiljka Tadic

We have studied structure formation in a confined block copolymer melt by means of dynamic density functional theory (DDFT). The confinement is two-dimensional, and the confined geometry is that of a cylindrical nanopore. Although the…

Soft Condensed Matter · Physics 2009-11-13 G. J. A. Sevink , A. V. Zvelindovsky

Diblock copolymers blended with homopolymer may self-assemble into spherical, cylindrical or lamellar aggregates. Transitions between these structures may be driven by varying the homopolymer molecular weight or the molecular weight or…

Statistical Mechanics · Physics 2011-06-28 M. J. Greenall , D. M. A. Buzza , T. C. B. McLeish

Homogeneous nucleation process of polyethylene (PE) is studied with full-atom molecular dynamic simulation. To account the complex shape with low symmetry and the peculiar intra-chain conformational order of polymer, we introduce a shape…

Soft Condensed Matter · Physics 2017-12-13 Xiaoliang Tang , Junsheng Yang , Tingyu Xu , Fucheng Tian , Chun Xie , Liangbin Li

The Cahn-Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties of a closest-point based scheme is investigated. In place of…

Numerical Analysis · Mathematics 2017-02-28 Prerna Gera , David Salac

We study block copolymers (BCP) on patterned substrates, where the top polymer film surface is not constrained but is a free interface that adapts its shape self-consistently. In particular, we investigate the combined effect of the free…

Soft Condensed Matter · Physics 2016-02-18 Xingkun Man , David Andelman , Henri Orland

Simulations and experiments of nanorods (NRs) show that co-assembly with block copolymer (BCP) melts leads to the formation of a superstructure of side-to-side NRs perpendicular to the lamellar axis. A mesoscopic model is validated against…

Soft Condensed Matter · Physics 2020-04-14 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga , Roy Shenhar

In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be amenable not only to numerics but also to analysis, yet sophisticated enough to…

Analysis of PDEs · Mathematics 2013-12-06 D. P. Bourne , M. A. Peletier , S. M. Roper

We explore the shape and internal structure of diblock copolymer (di-BCP) nanoparticles (NPs) by using the Ginzburg-Landau free-energy expansion. The self-assembly of di-BCP lamellae confined in emulsion droplets can form either ellipsoidal…

Soft Condensed Matter · Physics 2022-05-16 Yanyan Zhu , Bin Zheng , David Andelman , Xingkun Man

In this paper, we describe the unification and extension of multiple kinematic theories on the advection of colloidal particles through periodic obstacle lattices of arbitrary geometry and infinitesimally small obstacle size. We focus…

Computational Physics · Physics 2020-03-25 Arnaldo Rodriguez-Gonzalez , Jason P. Gleghorn , Brian J. Kirby

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

Soft Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer