Dielectric formulation for Many-Particle Systems with General Interactions

An extension of the self-consistent field approach formulation by Cohen in the preceding paper is proposed in order to include the most general kind of two-body interactions, i.e., interactions depending on position, momenta, spin, isotopic spin, etc. The dielectric function is replaced by a dielectric matrix. The evaluation of the energies involves the computation of a matrix inversion and trace.

Threshold effects on heavy quark production in gamma gamma interactions

The exchange of gluons between heavy quarks produced in e+e- interactions results in an enhancement of their production near threshold. We study QCD threshold effects in collisions. The results are relevant to heavy quark production by beamstrahlung and laser backscattering in future linear collider experiments. Detailed predictions for top-, bottom-, and charm-quark production are presented.

Dynamics of domain walls in pattern formation under traveling-wave forcing

We study dynamics of domain walls in pattern forming systems that are externally forced by a moving space-periodic modulation close to 2:1 spatial resonance. The motion of the forcing induces nongradient dynamics, while the wave number mismatch breaks explicitly the chiral symmetry of the domain walls. The combination of both effects yields an imperfect nonequilibrium Ising-Bloch bifurcation, where all kinks (including the Ising-like one) drift. Kink velocities and interactions are studied within the generic amplitude equation. For nonzero mismatch, a transition to traveling bound kink-antikink pairs and chaotic wave trains occurs.

Fluid dynamical prediction of changed v1 flow at energies available at the CERN Large Hadron Collider

Substantial collective flow is observed in collisions between lead nuclei at Large Hadron Collider (LHC) as evidenced by the azimuthal correlations in the transverse momentum distributions of the produced particles. Our calculations indicate that the global v1-flow, which at RHIC peaked at negative rapidities (named third flow component or antiflow), now at LHC is going to turn toward forward rapidities (to the same side and direction as the projectile residue). Potentially this can provide a sensitive barometer to estimate the pressure and transport properties of the quark-gluon plasma. Our calculations also take into account the initial state center-of-mass rapidity fluctuations, and demonstrate that these are crucial for v1 simulations. In order to better study the transverse momentum flow dependence we suggest a new "symmetrized" v1S(pt) function, and we also propose a new method to disentangle global v1 flow from the contribution generated by the random fluctuations in the initial state. This will enhance the possibilities of studying the collective Global v1 flow both at the STAR Beam Energy Scan program and at LHC.

Interactions between cells and functionalized nanoparticles

In this present thesis Superparamagnetic Iron Oxide Nanoparticles (SPIONs) with 9 nm in diameter were selected as nanocarriers in order to study their potential application as drug delivery systems. Therefore the aim of the study was to demonstrate the proof of concept by establishing an efficient system of drug delivery, which would be a valuable tool in biomedical applications, such as the treatement of cancer, by reducing the side effects due to administration of a high concentration of therapeutic agents. As demonstrated in a previous study, the uptake of SPIONs by tumoral human cells was enhanced by the presence of amino groups on their surface. The stabilization of SPIONs were then performed and optimized by the coating of poly(vinylalcohol) and poly(vinylalcohol/vinylamine). Such nanoparticles were known as aminoPVA-SPIONs. The toxicity and the inflammatory reaction of aminoPVA-SPIONs were evaluated in order to establish their potentiel use in the human body. The results demonstrated that the human cells were able to invaginate aminoPVA-SPIONS without revealing any toxicity and inflammatory reaction. The analysis by transmission electron microscopy (TEM), scanning electron microscopy (SEM), cryo-TEM, confocal microscopy and histological staining (i.e. Prussian Blue) showed that the iron oxide core of SPIONs were located in the cytoplasm of cells and concentrated in vesicles. The evaluation of the mechanism of uptake of aminoPVA-SPIONs revealed that their uptake by monolayer cell culture was performed via an active mechanism, which was achieved by a clathrin-mediated endocytosis. Consequently, it was suggested that aminoPVA-SPIONs were good candidates as nanocarriers in drug delivery systems, which were able to reach the cytoplasm of cells. Their incubation with three-dimensional models mimicing tissues, such as differentiated rat brain cell-derived aggregates and spheroids, revealed that aminoPVA-SPIONs were able to invade into deep cell layers according to the stage of growth of these models. In the view of these promising results, drug-SPIONs were prepared by the functionalization of aminoPVA-SPIONs via a biological labile chemical bond by one of these three antineoplastic agents, which are widely used in clinical practice: 5-fluorourdine (Fur) (an antimetabolite), or camptothecin (CPT) (a topoisomerase inhibitor) or doxorubicin (DOX) (an anthracycline which interfere with DNA). The results shown that drug-SPIONs were internalized by human melanoma cells, as it was expected due the previous results with aminoPVA-SPIONs, and in addition they were active as anticancer agents, suggesting the efficient release of the drug from the drug-SPIONs. The results with CPT-SPIONs were the most promising, whereas DOX- SPIONs did not demonstrate a prononced activity of DOX. In conclusion, the results demonstrated that functionalized iron oxide nanoparticles are a promising tool in order to deliver therapeutic agents. - Dans le cadre de ce travail de thèse, les nanoparticules superparamagnétiques d'oxyde de fer (SPIONs) ayant un diamètre de 9 nm ont été choisies, afin d'étudier leur éventuelle utilisation dans un système de délivrance d'agents thérapeutiques. Ainsi le but de la thèse est de démontrer la faisabilité de fabriquer un système efficace de délivrance d'agents thérapeutiques, qui serait un outil intéressant dans le cadre d'une utilisation biomédicale, par exemple lors du traitement du cancer, qui pourrait réduire les effets secondaires provoqués par le dosage trop élevé de médicaments. Comme il a été démontré dans une précédente étude, l'invagination des SPIONs par des cellules humaines cancéreuses est améliorée par la présence de groupes fonctionnels amino à leur surface. La stabilisation des SPIONs est ainsi effectuée et optimisée par l'enrobage de poly(vinylalcool) et de (poly(vinylalcool/vinylamine), qui sont connues sous le nom de aminoPVA-SPIONs. La toxicité et la réaction inflammatoire des aminoPVA-SPIONs ont été évaluées dans le but de déterminer leur potentielle utilisation dans le corps humain. Les résultats démontrèrent que les cellules humaines sont capables d'invaginer les aminoPVAS-SPIONs sans induire une réaction toxique ou inflammatoire. L'analyse par la microscopie électronique en transmission électronique (TEM), la microscopie électronique à balayage (SEM), le cryo-microscopie électronique (SEM), la microscopie confocale et la coloration histologique (par ex, le bleu de Prusse) a montré que l'oxyde de fer des SPIONs est localisé dans le cytoplasme des cellules et est concentré dans des vesicules. L'évaluation du méchanisme d'invagination des aminoPVA-SPIONs ont révélé que leur invagination par des monocultures de cellules est effectué par un méchanisme actif, contrôlé par une endocytose induite par les clathrins. Par conséquent, les aminoPVA-SPIONs sont de bons candidats en tant que transporteurs (nanocamers) dans un système de délivrance d'agents thérapeuthique, capable d'atteindre le cytoplasme des cellules. Leur incubation avec des modèles tridimenstionnels imitant les tissues, tels que les aggrégats de cellules de cerveau différenciées et les sphéroïdes, a montré que les aminoPVA-SPIONs sont capable de pénétrer dans les couches profondes des modèles, selon l'état d'avancement de leur croissance. En vue de ces résultats prometteurs, les drug-SPIONs ont été préparés en fonctionalisant les aminoPVA-SPIONs par le biai d'une liaison chimique labile par un des trois agents thérapeutiques, déjà utilisé en pratique : 5-fluorourdine (Fur) (un antimétabolite), or camptothecin (CPT) (un inhibiteur de la topoisomerase) or doxorubicin (DOX) (un anthracycline qui interfère avec le DNA). Les résultats ont montré que les drug-SPIONs sont capable d'être internalisés par les mélanomes, comme il a été attendu d'après les résultats obtenus précédemment avec les aminoPVA-SPIONs, et de plus, les drug-SPIONs sont actifs, ce qui suggère un relargage efficace de l'agent thérapeutique du drug-SPIONs. Les résultats obtenus avec les CPT-SPIONs sont les plus prometteurs, tandis que ceux avec les DOX-SPIONs, ce n'est pas le cas, dont l'activité thérapeutique de DOX n'a pas été aussi efficace. En conclusion, les résultats ont pu démontrer que les nanoparticules d'oxyde de fer fonctionnalisées sont un outil prometteur dans la délivrance d'agents thérapeutiques.

Radial displacement of a fluid annulus in a rotating Hele¿Shaw cell

The radial displacement of a fluid annulus in a rotating circular Hele-Shaw cell has been investigated experimentally. It has been found that the flow depends sensitively on the wetting conditions at the outer interface. Displacements in a prewet cell are well described by Darcy's law in a wide range of experimental parameters, with little influence of capillary effects. In a dry cell, however, a more careful analysis of the interface motion is required; the interplay between a gradual loss of fluid at the inner interface, and the dependence of capillary forces at the outer interface on interfacial velocity and dynamic contact angle, result in a constant velocity for the interfaces. The experimental results in this case correlate in the form of an empirical scaling relation between the capillary number Ca and a dimensionless group, related to the ratio of centrifugal to capillary forces, which spans about three orders of magnitude in both quantities. Finally, the relative thickness of the coating film left by the inner interface, alpha i, is obtained as a function of Ca.

Interfacial instabilities of a fluid annulus in a rotating Hele-Shaw cell

We have studied the interfacial instabilities experienced by a liquid annulus as it moves radially in a circular Hele-Shaw cell rotating with angular velocity Omega. The instability of the leading interface (oil displacing air) is driven by the density difference in the presence of centrifugal forcing, while the instability of the trailing interface (air displacing oil) is driven by the large viscosity contrast. A linear stability analysis shows that the stability of the two interfaces is coupled through the pressure field already at a linear level. We have performed experiments in a dry cell and in a cell coated with a thin fluid layer on each plate, and found that the stability depends substantially on the wetting conditions at the leading interface. Our experimental results of the number of fingers resulting from the instability compare well with the predictions obtained through a numerical integration of the coupled equations derived from a linear stability analysis. Deep in the nonlinear regime we observe the emission of liquid droplets through the formation of thin filaments at the tip of outgrowing fingers.

Three-dimensional aspects of fluid flows in channels. II. Effects of meniscus and thin film regimes on viscous fingers

We perform a three-dimensional study of steady state viscous fingers that develop in linear channels. By means of a three-dimensional lattice-Boltzmann scheme that mimics the full macroscopic equations of motion of the fluid momentum and order parameter, we study the effect of the thickness of the channel in two cases. First, for total displacement of the fluids in the channel thickness direction, we find that the steady state finger is effectively two-dimensional and that previous two-dimensional results can be recovered by taking into account the effect of a curved meniscus across the channel thickness as a contribution to surface stresses. Second, when a thin film develops in the channel thickness direction, the finger narrows with increasing channel aspect ratio in agreement with experimental results. The effect of the thin film renders the problem three-dimensional and results deviate from the two-dimensional prediction.

Three-dimensional aspects of fluid flows in channels. I. Meniscus and thin film regimes

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects near the contact line. The difference between the slip and channel velocities determines whether the interface advances as a meniscus or a thin film of fluid is left adhered to the plates. We find that this effect is controlled by the capillary and Péclet numbers. We estimate the crossover from a meniscus to a thin film and find good agreement with numerical results. The penetration regime is examined in the steady state. We find that the occupation fraction of the advancing finger relative to the channel thickness is controlled by the capillary number and the viscosity contrast between the fluids. For high viscosity contrast, lattice-Boltzmann results agree with previous results. For zero viscosity contrast, we observe remarkably narrow fingers. The shape of the finger is found to be universal.

Seismic attenuation due to wave-induced fluid flow at microscopic and macroscopic scales

Wave-induced fluid flow at microscopic and mesoscopic scales arguably constitutes the major cause of intrinsic seismic attenuation throughout the exploration seismic and sonic frequency ranges. The quantitative analysis of these phenomena is, however, complicated by the fact that the governing physical processes may be dependent. The reason for this is that the presence of microscopic heterogeneities, such as micro-cracks or broken grain contacts, causes the stiffness of the so-called modified dry frame to be complex-valued and frequency-dependent, which in turn may affect the viscoelastic behaviour in response to fluid flow at mesoscopic scales. In this work, we propose a simple but effective procedure to estimate the seismic attenuation and velocity dispersion behaviour associated with wave-induced fluid flow due to both microscopic and mesoscopic heterogeneities and discuss the results obtained for a range of pertinent scenarios.