Localized Stress Fluctuations Drive Shear Thickening in Dense Suspensions

The mechanical response of solid particles dispersed in a Newtonian fluid exhibits a wide range of nonlinear phenomena including a dramatic increase in the viscosity \cite{1-3} with increasing stress. If the volume fraction of the solid phase is moderately high, the suspension will undergo continuous shear thickening (CST), where the suspension viscosity increases smoothly with applied shear stress; at still higher volume fractions the suspension can display discontinuous shear thickening (DST), where the viscosity changes abruptly over several orders of magnitude upon increasing applied stress. Proposed models to explain this phenomenon are based in two distinct types of particle interactions, hydrodynamic\cite{2,4,5} and frictional\cite{6-10}. In both cases, the increase in the bulk viscosity is attributed to some form of localized clustering\cite{11,12}. However, the physical properties and dynamical behavior of these heterogeneities remains unclear. Here we show that continuous shear thickening originates from dynamic localized well defined regions of particles with a high viscosity that increases rapidly with concentration. Furthermore, we find that the spatial extent of these regions is largely determined by the distance between the shearing surfaces. Our results demonstrate that continuous shear thickening arises from increasingly frequent localized discontinuous transitions between coexisting low and high viscosity Newtonian fluid phases. Our results provide a critical physical link between the microscopic dynamical processes that determine particle interactions and bulk rheological response of shear thickened fluids

Is it necessary to measure all brain regions for the assessment of PAF?

From decades of research, electroencephalography (EEG) has been proved as a potential non-invasive medical technique to measure the electrophysiological activities of brain. Alpha is one of the most prominent frequency bands of EEG because of its applications in cognitive enhancement and biofeedback methods. 300 participants were included in the present study to investigate the relationships between their cognitive performance and Peak Alpha Frequency (PAF). Brain activity was recorded from all significant brain regions in 250 participants and only from occipital region in 50 participants. The aim of the present study was to ensure the brain region which is the most dominant one to measure PAF/ IAF. Power Spectrum Density (PSD) method was used for EEG signal analysis. Interrelationship among PAF, IAF and PAF of six individual electrode positions was also explored. Findings reveled that parieto- occipital electrode points are sufficient to assess one’s peak alpha frequency

Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity

The topologically twisted index for ABJM theory with gauge group $U(N)_k \times U(N)_{-k}$ has recently been shown, in the large-$N$ limit, to reproduce the Bekenstein-Hawking entropy of certain magnetically charged asymptotically AdS$_4$ black holes. We numerically study the index beyond the large-$N$ limit and provide evidence that it contains a subleading logarithmic term of the form $-1/2\log N$. On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. We give some possible reasons for this apparent discrepancy.Comment: 17 pages, 2 figures, discussion improve

Studies on nickel (II) and palladium (II) complexes with some tetraazamacrocycles containing tellurium

The synthesis of 10-membered and 12-membered tellurium containing tetraazamacrocyclic complexes of divalent nickel and palladium by template condensation of diaryltellurium dichlorides, (aryl = p-hydroxyphenyl, 3-methyl-4-hydroxyphenyl, p-methoxyphenyl) with 1,2-diaminoethane and 1,3-diaminopropane in the presence of metal dichloride is reported. The resulting complexes have been subjected to elemental analyses, magnetic measurements, electronic absorption, infra-red, and proton magnetic resonance spectral studies. The formation of proposed macrocyclic skeletons and their donor sites have been identified on the basis of spectral studies. Distorted octahedral structure for the nickel complexes in the solid state and squareplanar structure for the palladium complexes have been suggested

A One-loop Test of Quantum Black Holes in Anti de Sitter Space

Within eleven dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS${}_4$ black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.Comment: 5 pages. V2: Presentation changed, PRL versio

Spectra of certain holographic ABJM Wilson loops in higher rank representations

The holographic configurations dual to Wilson loops in higher rank representations in the ABJM theory are described by branes with electric flux along their world volumes. In particular, D2 and D6 branes with electric flux play a central role as potential dual to totally symmetric and totally antisymmetric representations, respectively. We compute the spectra of excitations of these brane configurations in both, the bosonic and fermionic sectors. We highlight a number of aspects that distinguish these configurations from their D3 and D5 cousins including new peculiar mixing terms in the fluctuations. We neatly organize the spectrum of fluctuations into the corresponding supermultiplets