Implications of the Babinet Principle for Casimir Interactions

We formulate the Babinet Principle (BP) as a relation between the scattering amplitudes for electromagnetic waves, and combine it with multiple scattering techniques to derive new properties of Casimir forces. We show that the Casimir force exerted by a planar conductor or dielectric on a self- complementary perforated planar mirror is approximately half that on a uniform mirror independent of the distance between them. The BP suggests that Casimir edge effects are anomalously small, supporting results obtained earlier in special cases. Finally, we illustrate how the BP can be used to estimate Casimir forces between perforated planar mirrors

L’hemorragie grave du peripartum en milieu de reanimation dans un centre universitaire tunisien de niveau 3: épidémiologie et facteurs de risque de mortalité maternelle

L'hémorragie grave du péripartum demeure une des causes principales de mortalité maternelle. L'objectif de notre étude était de décrire le profil épidémiologique des patientes qui ont été prises en charge en milieu de réanimation suite à une hémorragie grave du péripartum et de rechercher d'éventuels facteurs de risque de mortalité. Notre étude est rétrospective descriptive et analytique. Nous avons inclus tous les cas d'hémorragie du péripartum ayant séjourné en unité de réanimation obstétricale du centre de maternité et de néonatologie de Tunis (CMNT) au cours de la période allant de janvier 2010 à Décembre 2013. Nous avons recueilli les paramètres démographiques, obstétricaux, ceux relatifs à la prise en charge chirurgicale et réanimatoire, les scores de gravité SAPS obstétrical et APACHEII, ainsi que la morbi-mortalité. Au total nous avons colligé 322 cas sur quatre ans. La répartition annuelle des patientes ainsi que les caractéristiques démographiques et obstétricales étaient comparables dans leur globalité sur les quatre années. Les pratiques thérapeutiques étaient également comparables. Le taux global de mortalité par hémorragie dans notre unité était à 4,7%, avec un taux annuel de mortalité stable. L'analyse des facteurs de risque de mortalité par hémorragie en milieu de réanimation a montré une association statistiquement significative entre la survenue du décès et les facteurs suivants : recours aux catécholamines, survenue de sepsis, oedème pulmonaire aigu, coagulation intravasculaire disséminée, insuffisance rénale aigue avec recours à l'hémodialyse, SDRA ou TRALI, atteinte neurologique grave, défaillance multiviscérale et arrêt cardiaque récupéré

Spontaneous emission by rotating objects: A scattering approach

We study the quantum electrodynamics (QED) vacuum in the presence of a body rotating along its axis of symmetry and show that the object spontaneously emits energy if it is lossy. The radiated power is expressed as a general trace formula solely in terms of the scattering matrix, making an explicit connection to the conjecture of Zel'dovich [JETP Lett. 14, 180 (1971)] on rotating objects. We further show that a rotating body drags along nearby objects while making them spin parallel to its own rotation axis

A diagrammatic expansion of the Casimir energy in multiple reflections: theory and applications

We develop a diagrammatic representation of the Casimir energy of a multibody configuration. The diagrams represent multiple reflections between the objects and can be organized by a few simple rules. The lowest-order diagrams (or reflections) give the main contribution to the Casimir interaction which proves the usefulness of this expansion. Among some applications of this, we find analytical formulae describing the interaction between "edges", i.e. semi-infinite plates, where we also give a first example of blocking in the context of the Casimir energy. We also find the interaction of edges with a needle and describe analytically a recent model of the repulsion due to the Casimir interaction

Polymer-mediated entropic forces between scale-free objects

The number of configurations of a polymer is reduced in the presence of a barrier or an obstacle. The resulting loss of entropy adds a repulsive component to other forces generated by interaction potentials. When the obstructions are scale invariant shapes (such as cones, wedges, lines or planes) the only relevant length scales are the polymer size R_0 and characteristic separations, severely constraining the functional form of entropic forces. Specifically, we consider a polymer (single strand or star) attached to the tip of a cone, at a separation h from a surface (or another cone). At close proximity, such that h<<R_0, separation is the only remaining relevant scale and the entropic force must take the form F=AkT/h. The amplitude A is universal, and can be related to exponents \eta governing the anomalous scaling of polymer correlations in the presence of obstacles. We use analytical, numerical and epsilon-expansion techniques to compute the exponent \eta for a polymer attached to the tip of the cone (with or without an additional plate or cone) for ideal and self-avoiding polymers. The entropic force is of the order of 0.1 pN at 0.1 micron for a single polymer, and can be increased for a star polymer.Comment: LaTeX, 15 pages, 4 eps figure

Casimir effect: Edges and diffraction

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical devices. Accurate experimental observations of this phenomenon have motivated the development of new theoretical approaches in dealing with the effects of different geometries, temperature etc. In this talk, I will focus on a new method we have developed in calculating the contribution to the Casimir effect due to diffraction from edges and holes in different geometries, at zero and at finite temperature.Comment: 11 pages, 2 figures. Talk at the QTS7 conference, Prague, 2011; to appear in the proceeding

Enhancing the cellular uptake and antibacterial activity of rifampicin through encapsulation in mesoporous silica nanoparticles

An urgent demand exists for the development of novel delivery systems that efficiently transport antibacterial agents across cellular membranes for the eradication of intracellular pathogens. In this study, the clinically relevant poorly water-soluble antibiotic, rifampicin, was confined within mesoporous silica nanoparticles (MSN) to investigate their ability to serve as an efficacious nanocarrier system against small colony variants of Staphylococcus aureus (SCV S. aureus) hosted within Caco-2 cells. The surface chemistry and particle size of MSN were varied through modifications during synthesis, where 40 nm particles with high silanol group densities promoted enhanced cellular uptake. Extensive biophysical analysis was performed, using quartz crystal microbalance with dissipation (QCM-D) and total internal reflection fluorescence (TIRF) microscopy, to elucidate the mechanism of MSN adsorption onto semi-native supported lipid bilayers (snSLB) and, thus, uncover potential cellular uptake mechanisms of MSN into Caco-2 cells. Such studies revealed that MSN with reduced silanol group densities were prone to greater particle aggregation on snSLB, which was expected to restrict endocytosis. MSN adsorption and uptake into Caco-2 cells correlated well with antibacterial efficacy against SCV S. aureus, with 40 nm hydrophilic particles triggering a ~2.5-log greater reduction in colony forming units, compared to the pure rifampicin. Thus, this study provides evidence for the potential to design silica nanocarrier systems with controlled surface chemistries that can be used to re-sensitise intracellular bacteria to antibiotics by delivering them to the site of infection