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Carbon nanomembranes (CNMs) are nanometer-thin disordered carbon materials that are suitable for a range of applications, from energy generation and storage, through to water filtration. The structure-property relationships of these…

We derive periodic multilayer absorbers with effective uniaxial properties similar to perfectly matched layers (PML). This approximate representation of PML is based on the effective medium theory and we call it an effective medium PML…

Polynomial meshes (called sometimes "norming sets") allow us to estimate the supremum norm of polynomials on a fixed compact set by the norm on its discrete subset. We give a general construction of polynomial weakly admissible meshes on…

Numerical Analysis · Mathematics 2025-01-22 Leokadia Bialas-Ciez , Agnieszka Kowalska , Alvise Sommariva

Molecular Dynamics simulations of a coarse-grained bead-spring model of flexible macromolecules tethered with one end to the surface of a cylindrical pore are presented. Chain length $N$ and grafting density $\sigma$ are varied over a wide…

Soft Condensed Matter · Physics 2007-05-23 Dimitar I. Dimitrov , Andrey Milchev , Kurt Binder , Dieter W. Heermann

Many experimental systems consist of large ensembles of uncoupled or weakly interacting elements operating as a single whole; this is the case in many experimental systems in nano-optics and plasmonics including colloidal solutions,…

Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a one-parametric family of congruent rotational cones. As limit cases, we also address developable surfaces and ruled surfaces. The…

Differential Geometry · Mathematics 2023-09-14 Mikhail Skopenkov , Pengbo Bo , Michael Bartoň , Helmut Pottmann

Polymer nanocomposite materials based on metallic nanowires are widely investigated as transparent and flexible electrodes or as stretchable conductors and dielectrics for biosensing. Here we show that Scanning Dielectric Microscopy (SDM)…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 H. Balakrishnan , R. Millan-Solsona , M. Checa , R. Fabregas , L. Fumagalli , G. Gomila

Mesoscale behavior of polymers is frequently described by universal laws. This physical property motivates us to propose a new modeling concept, grouping polymers into classes with a common long-wavelength representation. In the same class…

Soft Condensed Matter · Physics 2016-10-25 Guojie Zhang , Torsten Stuehn , Kostas Ch. Daoulas , Kurt Kremer

During the past years we have investigated the complexation between nanocolloids and oppositely charged polymers. The nanocolloids examined were ionic surfactant micelles and inorganic oxide nanoparticles. For the polymers, we used…

Soft Condensed Matter · Physics 2007-05-23 Jean-Francois Berret , Regis Cartier

Kinetic barriers cause polymers to crystallize incompletely, into nanoscale lamellae interleaved with amorphous regions. As a result, crystalline polymers are full of crystal-melt interfaces, which dominate their physical properties. The…

Soft Condensed Matter · Physics 2010-09-23 Scott T. Milner

Because final properties of nanoscale polymeric structures are largely determined by the solid-state microstructure of the confined polymer, it is imperative not only to understand how the microstructure of polymers develops under nanoscale…

We consider star polymers, consisting of two different polymer species, in a solvent subject to quenched correlated structural obstacles. We assume that the disorder is correlated with a power-law decay of the pair correlation function…

Soft Condensed Matter · Physics 2011-01-17 Viktoria Blavatska , Christian von Ferber , Yurij Holovatch

In recent years polymer translocation, i.e., transport of polymeric molecules through nanometer-sized pores and channels embedded in membranes, has witnessed strong advances. It is now possible to observe single-molecule polymer dynamics…

Soft Condensed Matter · Physics 2013-09-13 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

It has recently been proposed that the miscibility of nanoparticles with a polymer matrix can be controlled by grafting polymer chains to the nanoparticle surface. As a first step to study this situation, we have used molecular dynamics…

Soft Condensed Matter · Physics 2010-08-06 Joshua Kalb , Douglas Dukes , Sanat K. Kumar , Robert S. Hoy , Gary S. Grest

We review the basic physics behind light interaction with plasmonic nanoparticles. The theoretical foundations of light scattering on one metallic particle (a plasmonic monomer) and two interacting particles (a plasmonic dimer) are…

Optics · Physics 2012-08-22 Dmitry N. Chigrin , Christian Kremers , Sergei V. Zhukovsky

The conformational behavior of a polymer in a critical binary solvent confined in a porous medium is studied. The size of the polymer in bulk, which is mainly governed by the correlation length of the solvent density fluctuations, depends…

Soft Condensed Matter · Physics 2007-05-23 Amina Negadi , Arti Dua , Thomas A. Vigis

We develop a theory of polymers in a nematic solvent by exploiting an analogy with two-dimensional quantum bosons at zero temperature. We argue that the theory should also describe polymers in an {\sl isotropic} solvent. The dense phase is…

Condensed Matter · Physics 2009-10-22 R. D. Kamien , P. Le Doussal , D. R. Nelson

We introduce a framework for adsorption of a single polymer in which the topology of the polymer is quenched before adsorption, in contrast to more standard adsorption models having annealed topology. Our "topology" refers either to the…

Mathematical Physics · Physics 2022-11-09 Neal Madras

Adsorption and separation properties of gyroidal nanoporous carbons (GNCs) - a new class of exotic nanocarbon materials are studied for the first time using hyper parallel tempering Monte Carlo Simulation technique. Porous structure of GNC…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 S. Furmaniak , P. A. Gauden , A. P. Terzyk , P. Kowalczyk

Single-mode optical nanofibres are a central component of a broad range of applications and emerging technologies. Their fabrication has been extensively studied over the past decade, but imaging of the final sub-micrometre products has…