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- Max Planck SocietyDE19 papers
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30 papers · 1 filter
Lattice Boltzmann simulations in microfluidics: probing the no-slip boundary condition in hydrophobic, rough, and surface nanobubble laden microchannels
Jens Harting, Christian Kunert, Jari Hyväluoma
In this contribution we review recent efforts on investigations of the effect of (apparent) boundary slip by utilizing lattice Boltzmann simulations. We demonstrate the applicabili…
Tunability of Critical Casimir Interactions by Boundary Conditions
Ursula Nellen, Laurent Helden, Clemens Bechinger
We experimentally demonstrate that critical Casimir forces in colloidal systems can be continuously tuned by the choice of boundary conditions. The interaction potential of a collo…
On Computing Geodesics in Baumslag-Solitar Groups
Volker Diekert, Jürn Laun
We introduce the peak normal form of elements of the Baumslag-Solitar groups BS(p,q). This normal form is very close to the length-lexicographical normal form, but more symmetric.…
A boundary condition with adjustable slip length for Lattice Boltzmann simulations
Nayaz Khalid Ahmed, Martin Hecht
A velocity boundary condition for the Lattice Boltzmann simulation technique has been proposed recently by Hecht and Harting[arxiv:0811.4593]. This boundary condition is independen…
Hill's potentials in weighted Sobolev spaces and their spectral gaps
Jürgen Pöschel
We describe a new, short proof of some facts relating the gap lengths of the spectrum of a potential of Hill's equation to its regularity. For example, a real potential is in a wei…
On Bijective Variants of the Burrows-Wheeler Transform
Manfred Kufleitner
The sort transform (ST) is a modification of the Burrows-Wheeler transform (BWT). Both transformations map an arbitrary word of length n to a pair consisting of a word of length n…