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We have identified the effect of the Wigner-Seitz cell geometry in the strong segregation limit of diblock copolymer melts with strong composition asymmetry. A variational problem is proposed describing the distortions of the chain paths…

Soft Condensed Matter · Physics 2010-09-06 C. B. Muratov , M. Novaga , G. Orlandi , C. J. Garcia-Cervera

In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven…

Applied Physics · Physics 2020-09-01 Raffaele Barretta , Marko Čanađija , Francesco Marotti de Sciarra

In this paper we derive, by two$-$scale convergence, periodically wrinked shell models starting from three dimensional linear elasticity, depending of the behaviour of the small parameter $\varepsilon>0$ and $p>1$, differents theories…

Analysis of PDEs · Mathematics 2026-01-19 Pedro Hernández-Llanos , Rajesh Mahadevan , Ravi Prakash

We study the phase behavior of diblock copolymers in presence of an external electric field. We employ self-consistent field theory and treat the relevant Maxwell equation as an additional self-consistent equation. Because we do not treat…

Soft Condensed Matter · Physics 2008-06-23 Chin-Yet Lin , Michael Schick , David Andelman

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

Strongly Correlated Electrons · Physics 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

We report a kinetic Monte Carlo modeling study of nanocrystal layer sintering. Features that are of interest for the dynamics of the layer as a whole, especially the morphology of the evolving structure, are considered. It is found that the…

Materials Science · Physics 2014-11-11 Vyacheslav Gorshkov , Vasily Kuzmenko , Vladimir Privman

We study the self-assembly on a spherical surface of a model for a binary mixture of amphiphilic dimers in the presence of guest particles via Monte Carlo (MC) computer simulation. All particles have a hard core, but one monomer of the…

Soft Condensed Matter · Physics 2021-06-11 Nkosinathi Dlamini , Santi Prestipino , Giuseppe Pellicane

The inversion of 3/2$^{-}$ and 5/2$^{-}$ levels in heavier Cu isotopes is one of the most visible example of shell-evolution, caused by the strong monopole attraction between the nucleons occupying the orbitals $\pi 0f_{5/2}$ and $\nu…

Nuclear Theory · Physics 2021-09-02 Kanhaiya Jha , P. K. Raina

A nonlocal diffuse interface model is used to study bubble assemblies in ternary systems. As model parameters vary, a large number of morphological phases appear as stable stationary states. One open question related to the polarity…

Soft Condensed Matter · Physics 2017-12-05 Chong Wang , Xiaofeng Ren , Yanxiang Zhao

A numerical simulation of silica aerogels is performed using diffusion-limited cluster-cluster aggregation of spheres inside a cubic box (with periodic boundary conditions). The volume fraction $c$ is taken to be sufficiently large to get a…

Condensed Matter · Physics 2009-10-28 Anwar Hasmy , Marie Foret , Eric Anglaret , Jacques Pelous , René Vacher , Rémi Jullien

We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cylindrical shell supported by a mesh of elastic rods. The…

Analysis of PDEs · Mathematics 2020-02-17 Sunčica Čanić , Marija Galić , Boris Muha

We consider the interaction of electromagnetic radiation of arbitrary polarization with multi-level atoms in a self-consistent manner, taking into account both spatial and temporal dependencies of local fields. This is done by numerically…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Maxim Sukharev , Abraham Nitzan

Semiflexible polymers in poor solvents exhibit a rich variety of collapsed morphologies, including globules, toroids, and rodlike bundles, arising from the competition between attractive interactions and chain stiffness. Computer…

Statistical Mechanics · Physics 2026-01-22 Biman Bagchi

Triblock terpolymers exhibit a rich self-organization behavior including the formation of fascinating cylindrical core-shell structures with a phase separated corona. After crystallization-induced self-assembly of…

Soft Condensed Matter · Physics 2017-08-23 S. Rosenfeldt , F. Luedel , C. Schulreich , T. Hellweg , A. Radulescu , J. Schmelz , H. Schmalz , L. Harnau

We have produced superstable compound liquid microjets with a three-dimensional printed coaxial flow-focusing injector. The aqueous jet core is surrounded by a shell, a few hundred nanometers in thickness, of a low-concentration aqueous…

Soft Condensed Matter · Physics 2025-05-28 A. Rubio , J. M. Montanero , M. Vakili , F. H. M. Koua , S. Bajt , H. N. Chapman , A. M. Gañán-Calvo

We report a multiscale modeling study for charged cylindrical nanopores using three modeling levels that include (1) an all-atom explicit-water model studied with molecular dynamics (MD), and reduced models with implicit water containing…

Triangular lattice models for pattern formation by hard-core soft-shell particles at interfaces are introduced and studied in order to determine the effect of the shell thickness and structure. In model I, we consider particles with…

Soft Condensed Matter · Physics 2020-08-26 V. S. Grishina , V. S. Vikhrenko , A. Ciach

The influence of short-range interactions between a multi-phase, multi-component mixture and a solid wall in confined geometries is crucial in life sciences and engineering. In this work, we extend the Cahn-Hilliard model with dynamic…

Fluid Dynamics · Physics 2023-12-18 Shuang Liu , Yue Wu , Xueping Zhao

The peculiar linear temperature-dependent swelling of core-shell microgels has been conjectured to be linked to the core-shell architecture combining materials of different transition temperatures. Here the structure of pNIPMAM-core and…

For a diblock copolymer with total chain length $\gamma>0$ and mass ratio $m\in(-1,1)$, we consider the problem of minimizing the doubly nonlocal free energy $$ \mathcal{E}_{\varepsilon}(u) =\mathcal{H}(u) +\frac{1}{\varepsilon^{2s}}…

Analysis of PDEs · Mathematics 2020-11-16 Hardy Chan , Masomeh Jamshid Nejad , Juncheng Wei