Alexandre Tkatchenko, Lorenz Romaner, Oliver T. Hofmann, Egbert Zojer, Claudia Ambrosch-Draxl, and Matthias Scheffler actions play a noticeable role even for chemisorption when strong chemical bonds are formed between docking groups of a molecule and the substrate (e.g., for self-assembled monolayers [SAMs] bonded to gold by thiolates).10 Here they can decisively influence the molecular tilting...

We address surface soliton complexes formed at the edge of annular guiding structures containing several concentric rings. Such soliton complexes feature a p-phase difference between neighboring spots. It is shown that the multipole-mode solitons can rotate steadily upon propagation, and the existence domain is strongly affected by the rotation frequency. The rotation may enhance the stabilizat...

This paper contains discussion of the problem of motion of extended e.g. non point test bodies in multidimensional space. Extended bodies are described in terms of so called multipole moments. Using approximated form of equations of motion for extended bodies deviation from geodesic motion is derived. Results are applied to special form of space-time. PACS number(s): 04.25.-g, 04.50.+h, 11.25.Mj

The fast multipole method (FMM) is a technique allowing the fast calculation of long-range interactions between N points in O(N) or O(N lnN) steps with some prescribed error tolerance. The FMM has found many applications in the field of integral equations and boundary element methods, in particular by accelerating the solution of dense linear systems arising from such formulations. Original FMM...

We introduce the concept of multipole spatial optical vector solitons associated with higher-order guided modes trapped by a soliton-induced waveguide in a bulk medium. Such stationary localized waves include previously predicted vortex- and dipole-mode vector solitons and also describe new higher-order vector solitons and necklace-type beams. We present the theoretical and experimental results...