This article proposes a mortar type finite element formulation for consistently embedding curved, slender beams, i.e. 1D Cosserat continua, into 3D solid volumes. A consistent 1D-3D coupling scheme this problem is proposed, which enforces both positional and rotational constraints. Since Boltzmann continua exhibit no inherent degrees of freedom, suitable definitions orthonormal triads are inves...

It is now routine to make Bose-Einstein condensates of polaritons with long enough lifetime and low disorder travel ballistically for hundreds microns in quasi-one-dimensional (1D) wires. We present observations a polariton condensate injected at one point quasi-1D ring, well-defined initial velocity direction. A clear precession the circular polarization seen, which arises from an effective sp...

The thermal properties of carbon nanotubes are directly related to their unique structure and small size. Because of these properties, nanotubes may prove to be an ideal material for the study of low-dimensional phonon physics, and for thermal management, both on the macroand the micro-scale. We have begun to explore the thermal properties of nanotubes by measuring the specific heat and thermal...

We consider a system of two PDEs introduced in [1] to model motility of eukaryotic cells on substrates. This system consists of the volume preserving Allen-Cahn equation for the scalar phase field function coupled with another parabolic equation for the orientation vector. We study the asymptotic behavior of solutions in the limit of a small parameter related to the width of the interface in ph...

Recent progresses of genome-wide chromatin conformation capture techniques have shown that the genome is segmented into hierarchically organized spatial compartments. However, whether this non-random 3D organization only reflects or indeed contributes-and how-to the regulation of genome function remain to be elucidated. The observation in many species that 3D domains correlate strongly with the...

Based on a recently developed variational method, we explore the properties of the Holstein polaron on an infinite lattice in D dimensions, where 1 ≤ D ≤ 4. The computational method converges as a power law, so that highly accurate results can be achieved with modest resources. We present the most accurate ground state energy (with no small parameter) to date for polaron problems, 21 digits for...

Six Mn(II) coordination compounds with tetrazolate-5-carboxylate (tzc), have been synthesized and characterized. They are of the formula [Mn2(tzc)2(H2O)2].4H2O (), Mn(tzc)(H2O)2 (), [Mn2(tzc)2(phen)2(H2O)2] (), [Mn(tzc)(2,2'-bpy)(H2O)2] (), [Mn(tzc)(4,4'-bpy)] () and [Mn2(tzc)2(H2O)2].(bpp) (), where phen=1,10-phenanthroline, 2,2'-bpy=2,2'-bipyridyl, 4,4'-bpy=4,4'-bipyridyl, and bpp=1,3-di(4-py...

In this thesis I present experiments investigating controlled coupling between mechanical oscillators and ultracold atoms. I report on three different coupling mechanisms. In a first experiment, the surface potential experienced by atoms close to the mechanical oscillator is employed to couple the oscillator motion to the center of mass (COM) motion of a trapped Bose-Einstein condensate (BEC). ...

The geometric and electronic structure of the MIL-47(V) metal-organic framework (MOF) is investigated by using ab initio density functional theory (DFT) calculations. Special focus is placed on the relation between the spin configuration and the properties of the MOF. The ground state is found to be antiferromagnetic, with an equilibrium volume of 1554.70 Å(3). The transition pressure of the pr...