Supporting Information: Short and long time drop dynamics on lubricated substrates

Supporting Information: Short and long time drop dynamics on lubricated substrate

Double point contact in Quantum Hall Line Junctions

We show that multiple point contacts on a barrier separating two laterally coupled quantum Hall fluids induce Aharonov-Bohm (AB) oscillations in the tunneling conductance. These quantum coherence effects provide new evidence for the Luttinger liquid behavior of the edge states of quantum Hall fluids. For a two point contact, we identify coherent and incoherent regimes determined by the relative magnitude of their separation and the temperature. We analyze both regimes in the strong and weak tunneling amplitude limits as well as their temperature dependence. We find that the tunneling conductance should exhibit AB oscillations in the coherent regime, both at strong and weak tunneling amplitude with the same period but with different functional form.Comment: 4 pages, 3 figures; new version, edited text, 2 new references; figure 2 has been edited; new paragraph in page 1 and minor typos have been correcte

Interfacial deflection and jetting of a paramagnetic particle-laden fluid: theory and experiment

We describe the results of experiments and mathematical analysis of the deformation of a free surface by an aggregate of magnetic particles. The system we study is differentiated from ferrofluid systems because it contains regions rich with magnetic material as well as regions of negligible magnetic content. In our experiments, the magnetic force from a spherical permanent magnet collects magnetic particles to a liquid–air interface, and deforms the free surface to form a hump. The hump is composed of magnetic and non-magnetic regions due to the particle collection. When the magnet distance falls below a threshold value, we observe the transition of the hump to a jet. The mathematical model we develop, which consists of a numerical solution and an asymptotic approximation, captures the shape of the liquid–air interface during the deformation stage and a scaling prediction for the critical magnet distance for the hump to become a jet

Effective velocity boundary condition at a mixed slip surface

This paper studies the nature of the effective velocity boundary conditions for liquid flow over a plane boundary on which small free-slip islands are randomly distributed. It is found that, to lowest order in the area fraction $\beta$ covered by free-slip regions with characteristic size $a$, a macroscopic Navier-type slip condition emerges with a slip length of the order of $a\beta$. The study is motivated by recent experiments which suggest that gas nano-bubbles may form on solid walls and may be responsible for the appearance of a partial slip boundary conditions for liquid flow. The results are also relevant for ultra-hydrophobic surfaces exploiting the so-called ``lotus effect''.Comment: 14 pages, 1 figur

An Explicit Scheme for Incorporating Ambipolar Diffusion in a Magnetohydrodynamics Code

We describe a method for incorporating ambipolar diffusion in the strong coupling approximation into a multidimensional magnetohydrodynamics code based on the total variation diminishing scheme. Contributions from ambipolar diffusion terms are included by explicit finite difference operators in a fully unsplit way, maintaining second order accuracy. The divergence-free condition of magnetic fields is exactly ensured at all times by a flux-interpolated constrained transport scheme. The super time stepping method is used to accelerate the timestep in high resolution calculations and/or in strong ambipolar diffusion. We perform two test problems, the steady-state oblique C-type shocks and the decay of Alfv\'en waves, confirming the accuracy and robustness of our numerical approach. Results from the simulations of the compressible MHD turbulence with ambipolar diffusion show the flexibility of our method as well as its ability to follow complex MHD flows in the presence of ambipolar diffusion. These simulations show that the dissipation rate of MHD turbulence is strongly affected by the strength of ambipolar diffusion.Comment: 25 pages, 5 figures, ApJS accepte

Surveillance of Aedes aegypti and Aedes albopictus in the State of Illinois

Mosquito communities were actively sampled using a variety of traps in 8 counties in south-eastern Illinois with the intent to detect whether Aedes albopictusand Ae. aegypti were present in these locations.Specimens collected through routine surveillance and shared by 8 local public health departments or mosquito abatement districts were also identified to species to detect the presence of this species across a wider range of counties. While Ae. albopictus was found to be present in all of the 8 counties actively sampled (providing the first records of occurrence for these locations) and for 6 of the counties for which we received collections, the numbers of Ae. albopictus collected differed among locations. Culex spp. mosquitoes were also caught in the traps. Aedes aegypti was not found to be present in these locations. All collected Aedes and Culex spp. were screened for 6arboviruses, though no positives were found. By sequencing a segment of the mitochondrial CO1 gene of a subset of female Ae. albopictus from 10 locations in Illinois we identified 17 unique genetic sequences (haplotypes), with likely at least 4 distinct genetic lineages being present in Illinois, with different geographic areas having distinct genetic populations. This suggests that the composition of this vector species in Illinois is the result of a complex and dynamic invasion history. Major questions for future work are how these genetic differences relate to the increase in abundance of Ae. albopictus in recent years, and whether there are phenotypic differences among these populations that might impact the epidemiology of vector-borne diseases in Illinois.Illinois Department of Public Healthunpublishednot peer reviewedOpe