Author(s) of this paper may load this reprint on their own web site or institutional repository provided that this cover page is retained. Republication of this article or its storage in electronic databases other than as specified above is not permitted without prior permission in writing from the IUCr. Many research topics in condensed matter research,… (More)
Ferroelectricity in finite-dimensional systems continues to arouse interest, motivated by predictions of vortex polarization states and the utility of ferroelectric nanomaterials in memory devices, actuators and other applications. Critical to these areas of research are the nanoscale polarization structure and scaling limit of ferroelectric order, which… (More)
Evidence is presented that nanosized particles of crystals do not necessarily adopt a periodic atomic structure as their bulk counterparts do and/or as predicted by theory. As an example, 1.6-nm Au particles grown inside a dendrimeric host are studied and found to possess a heavily disordered, metallic glass-type structure. The nanoparticle's structure… (More)
This work is on the numerical approximation of incoming solutions to Maxwell's equations with dissipative boundary conditions, whose energy decays exponentially with time. Such solutions are called asymptotically disappearing (ADS) and they play an important role in inverse back-scattering problems. The existence of ADS is a difficult mathematical problem.… (More)
In this work we study the existence of global solution to the semilinear wave equation (∂
We investigate the quality of structural models generated by the Reverse Monte Carlo (RMC) method in a typical application to glass systems. To this end we calculate diffraction data from a Li(2)O-SiO(2) molecular dynamics (MD) simulation and use it, in addition to minimal pair distances and coordination numbers of silicon (oxygen) to oxygen (silicon) ions,… (More)
Here we prove results about Riesz summability of classical La-guerre series, locally uniformly or on the Lebesgue set of the function f such that ∞ 0 (1 + x) mp |f (x)| p dx 1/p < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.