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We study a two-dimensional quaternary inhibitory system. This free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range interaction energy which prevents micro-domains from unlimited…

偏微分方程分析 · 数学 2023-07-25 Stanley Alama , Lia Bronsard , Xinyang Lu , Chong Wang

We study a two-dimensional ternary inhibitory system derived as a sharp-interface limit of the Nakazawa-Ohta density functional theory of triblock copolymers. This free energy functional combines an interface energy favoring micro-domain…

偏微分方程分析 · 数学 2019-12-20 Stan Alama , Lia Bronsard , Xinyang Lu , Chong Wang

Recently discovered photonic higher-order topological insulators enable unprecedented flexibility in the robust localization of light in structures of different dimensionality. While the potential of the two-dimensional systems is currently…

介观与纳米尺度物理 · 物理学 2021-08-25 Valerii I. Kachin , Maxim A. Gorlach

The growth and microstructural properties of ternary monolayers of two-dimensional hexagonal materials are examined, including both individual two-dimensional crystalline grains and in-plane heterostructures, multijunctions, or…

材料科学 · 物理学 2022-07-06 Zhi-Feng Huang

A binary mixture of oppositely charged components confined to a plane such as cationic and anionic lipid bilayers may exhibit local segregation. The relative strength of the net short range interactions, which favors macroscopic…

软凝聚态物质 · 物理学 2009-11-11 Sharon M. Loverde , Yury S. Velichko , Monica Olvera de la Cruz

We study a one dimensional Coulomb system, where two charged colloids are neutralized by a collection of point counterions, with global neutrality. Temperature being given, two situations are addressed: the colloids are either kept at fixed…

统计力学 · 物理学 2017-02-22 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

In this paper we consider a two-dimensional model of a copolymer consisting of a random concatenation of hydrophilic and hydrophobic monomers, immersed in a micro-emulsion of random droplets of oil and water. The copolymer interacts with…

概率论 · 数学 2012-04-06 Frank den Hollander , Nicolas Pétrélis

We study the fully-packed dimer model on the bilayer square lattice with fugacity equal to $z$ ($1$) for inter-layer (intra-layer) dimers, and intra-layer interaction $V$ between neighbouring parallel dimers on any elementary plaquette in…

统计力学 · 物理学 2021-05-05 Nisheeta Desai , Sumiran Pujari , K. Damle

We study the ternary Ohta-Kawasaki free energy that has been used to model triblock copolymer systems. Its one-dimensional global minimizers are conjectured to have cyclic patterns. However, some physical experiments and computer…

最优化与控制 · 数学 2022-06-30 Zirui Xu , Qiang Du

We consider the large-time dynamics of one-dimensional processes involving adsorption and desorption of extended hard-core particles (dimers, trimers,\,$\cdots,k$-mers), while interacting through their constituent monomers. Desorption can…

统计力学 · 物理学 2017-06-23 F. A. Gómez Albarracín , H. D. Rosales , M. D. Grynberg

Following a general protocol of periodically driving static first-order topological phases (supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses, here we construct a hierarchy of higher-order Floquet…

介观与纳米尺度物理 · 物理学 2021-03-31 Tanay Nag , Vladimir Juricic , Bitan Roy

We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is modeled by two Cahn--Hilliard--Oono equations for the copolymer…

偏微分方程分析 · 数学 2024-11-07 Helmut Abels , Andrea Di Primio , Harald Garcke

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer lattice-gas of interacting monomers adsorbed on one-dimensional channels arranged in a triangular…

强关联电子 · 物理学 2009-11-11 P. M. Pasinetti , F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

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…

偏微分方程分析 · 数学 2013-12-06 D. P. Bourne , M. A. Peletier , S. M. Roper

We study phase separation in a dilute two-component Fermi system with attractive interactions as a function of the coupling strength and the polarization or number density asymmetry between the two components. In weak and strong couplings…

量子气体 · 物理学 2020-01-29 Heron Caldas

The phase behavior of a cross-linked polymer blend made of two incompatible species, $A$ and $B$, of different chemical nature is analyzed. Besides a homogeneous phase, this system also exhibits two microphases and a phase of total…

凝聚态物理 · 物理学 2007-05-23 Edilson Vargas , Marcia C. Barbosa

Lateral microsegregation in a monolayer of a binary mixture of particles or macromolecules is studied by MD simulations in a generic model with the interacting potentials inspired by effective interactions in biological or soft-matter…

软凝聚态物质 · 物理学 2025-05-26 M. Litniewski , W. T. Gozdz nd A. Ciach

We inquire about the possible coexistence of macroscopic and microstructured phases in random Q-block copolymers built of incompatible monomer types A and B with equal average concentrations. In our microscopic model, one block comprises M…

软凝聚态物质 · 物理学 2011-09-05 Alice von der Heydt , Marcus Müller , Annette Zippelius

We report an extensive numerical study of a charged colloidal system with competing short-range depletion attraction and long-range electrostatic repulsion. By analizing the cluster properties, we identify two distinct regions in the phase…

软凝聚态物质 · 物理学 2009-03-18 Juan Carlos Fernandez Toledano , Francesco Sciortino , Emanuela Zaccarelli

We study the phase transition between the Coulomb liquid and the columnar crystal in the 3D classical dimer model, which was found to be continuous in the O(3) universality class. In addition to nearest neighbor interactions which favor…

强关联电子 · 物理学 2011-08-12 Stefanos Papanikolaou , Joseph J. Betouras
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