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P Levitz

Publications and source records attributed to P Levitz.

17 recordsLinked to original sources

Irreversible shear-activated aggregation in non-Brownian suspensions.

We have studied the effect of shear on the stability of suspensions made of non-Brownian solid particles. We demonstrate the existence of an irreversible transition where the solid particles aggregate at remarkably low volume fractions (phi approximately 0.1). This shear-induced aggregation is dramatic and exhibits a very sudden change in the viscosity, which increases sharply after a shear-dependent induction time. We show that this induction time is related exponentially to the shear rate, reflecting the importance of the hydrodynamic forces in reducing the repulsive energy barrier that prevents the particles from aggregating.

Journal Article↗

Brownian flights over a fractal nest and first-passage statistics on irregular surfaces.

The diffusive motion of Brownian particles near irregular interfaces plays a crucial role in various transport phenomena in nature and industry. Most diffusion-reaction processes in confining interfacial systems involve a sequence of Brownian flights in the bulk, connecting successive hits with the interface (Brownian bridges). The statistics of times and displacements separating two interface encounters are then determinant in the overall transport. We present a theoretical and numerical analysis of this complex first-passage problem. We show that the bridge statistics is directly related to the Minkowski content of the surface within the usual diffusion length. In the case of self-similar or self-affine interfaces, we show and check numerically that the bridge statistics follows power laws with exponents depending directly on the surface fractal dimension.

Journal Article↗

Universal nuclear spin relaxation and long-range order in nematics strongly confined in mass fractal silica gels.

We show how the low-frequency dependence of the proton spin-lattice relaxation time T1(nu) of octylcyanobiphenyl liquid crystals confined in high-density silica gels evidences a long-range order nematic phase in spite of the strong confinement and random disorder of the gels. The universal value and frequency dependence observed, T1(nu) proportional, variant nu(2/3), is interpreted within a relaxation model due to director fluctuations in nematic liquid crystals confined to mass fractal porous media. The model provides a relation T1(nu) proportional, variant nu(2-d/2), giving a reliable value of the structural fractal dimension d(f)=2.67 for all the host silica gels.

Journal Article↗

Slow dynamics of embedded fluid in mesoscopic confining systems as probed by NMR relaxometry.

Mesoscopic media such as porous materials or colloidal dispersions strongly influence the dynamics of the embedded fluid. In the strong-adsorption regime, it was recently proposed that the effective surface diffusion on flat surface is anomalous and exhibits long-time pathology, enlarging the time domain of the embedded-fluid dynamics towards the low-frequency regime. An interesting way to probe such a slow interfacial process is to use the field-cycling NMR relaxometry. This technique is used here to probe the fluid dynamics in two types of interfacial systems: i) a colloidal glass made of thin and flat particles; ii) a fully saturated porous media, the Vycor glass. Experimental results are critically compared to either a simple theoretical model of NMR dispersion involving elementary steps of the fluid dynamics near an interface (loops, trains, tails) or Brownian-dynamics simulations performed inside 3D reconstructions of these confined systems.

Journal Article↗

A new method for three-dimensional skeleton graph analysis of porous media: application to trabecular bone microarchitecture.

This paper introduces a new three-dimensional analysis of complex disordered porous media. Skeleton graph analysis is described and applied to trabecular bone images obtained by high resolution magnetic resonance imaging. This technique was developed bearing in mind topological considerations. The correspondence between vertices and branches of the skeleton graph and trabeculae is used in order to get local information on trabecular bone microarchitecture. In addition to real topological parameters, local structural information about trabeculae, such as length and volume distributions, are obtained. This method is applied to two sets of samples: six osteoporosis and six osteoarthritis bone samples. We demonstrate that skeleton graph analysis is a powerful technique to describe trabecular bone microarchitecture.

Femur Head↗

Fractal dimension of trabecular bone projection texture is related to three-dimensional microarchitecture.

The purpose of this work was to understand how fractal dimension of two-dimensional (2D) trabecular bone projection images could be related to three-dimensional (3D) trabecular bone properties such as porosity or connectivity. Two alteration processes were applied to trabecular bone images obtained by magnetic resonance imaging: a trabeculae dilation process and a trabeculae removal process. The trabeculae dilation process was applied from the 3D skeleton graph to the 3D initial structure with constant connectivity. The trabeculae removal process was applied from the initial structure to an altered structure having 99% of porosity, in which both porosity and connectivity were modified during this second process. Gray-level projection images of each of the altered structures were simply obtained by summation of voxels, and fractal dimension (Df) was calculated. Porosity (phi) and connectivity per unit volume (Cv) were calculated from the 3D structure. Significant relationships were found between Df, phi, and Cv. Df values increased when porosity increased (dilation and removal processes) and when connectivity decreased (only removal process). These variations were in accordance with all previous clinical studies, suggesting that fractal evaluation of trabecular bone projection has real meaning in terms of porosity and connectivity of the 3D architecture. Furthermore, there was a statistically significant linear dependence between Df and Cv when phi remained constant. Porosity is directly related to bone mineral density and fractal dimension can be easily evaluated in clinical routine. These two parameters could be associated to evaluate the connectivity of the structure.

Femur Head↗

Adsorption of a Cationic Surfactant on Na-Montmorillonite: Inspection of Adsorption Layer by X-Ray and Fluorescence Spectroscopies.

The adsorption of the cationic surfactant BDDAC on a hydrophilic smectite (montmorillonite) surface has been investigated, especially in the range of low coverage ratios where surfactant ions are adsorbed through cation-exchange with the counterions of the clay. The surfactant coions (Cl(-)) were found to be adsorbed simultaneously with the cationic part after a complete alkyl ammonium ion-exchange of montmorillonite (CEC). We observe that organoclay particles remain flocculated in aqueous medium in almost all the range of adsorption isotherms up to 1.38 CEC and afterward redisperse incompletely. The intercalation of surfactant in the interlamellar space was followed by X-ray measurements. Fluorescence spectroscopy was used to obtain information about the adsorption layer at the interface. A calculation from geometrical considerations and from adsorption isotherms shows that below 1.38 CEC, there is a flat double layer in the interlamellar space and after this amount of adsorbed surfactant, an interstratified clay-surfactant mixed system is formed. Copyright 1999 Academic Press.

Journal Article↗

Analysis of the Multilayer Thickness Relationship for Water Vapor and Nitrogen Adsorption.

Six silica gels, where each gel had a characteristic calibrated pore size (40-4000 Å), have been characterized both by water vapor and nitrogen adsorption isotherms. From these results, it was concluded that two-thirds of the silica surface is hydrophobic. The selection of wide pores (>300 Å) has enabled the determination of both the water and nitrogen t-curves for porous silica. It was observed that the development of the multilayer was identical in the wide pores irrespective of their size between 300 and 4000 Å. The porous silica t-curve for water coincided exactly with the t-curve of nonporous adsorbents provided that their BET C constants were similar. For nitrogen t-curves, a matching BET C constant ensured similarity only in the monolayer region, above which divergence progressively increased, becoming important close to saturation. The effect of the t-curve choice on the pore size distribution was established. A t-curve displaying reduced adsorption had a tendency to shift the pore-size distribution to lower dimensions, toward the micropore region. As a consequence, the cumulated surface area obtained from the BJH model gave increasingly higher values than the BET nitrogen surface area. However, the pore-size distribution was shifted to higher pore sizes when the selected t-curve was above the natural t-curve. Errors as much as 25% were detected for the mean pore radius and cumulated surface area for certain literature t-curves. A comparison of the water and the nitrogen t-curves indicated a crossover point when the water multilayer thickness became greater than the nitrogen thickness. Such behavior lends support to the cooperative adsorption mechanism for water vapor once a fixed number of water molecules (two layers) are present on the surface. Copyright 1998 Academic Press.

Journal Article↗

Adsorption of Nonionic Surfactants on Kaolins

Adsorption of nonionic surfactant on kaolins of different origins was studied. The shape of the isotherm differs only slightly according to the origin of the kaolin, but the amount adsorbed is quite different. The relation between the morphology of the kaolin particles and the shape of the isotherm is not clear. Fluorescence studies show two different solubilization sites for adsorbed pyrene molecules. However, these two environments could not be correlated to the basal and lateral surfaces of the mineral particles.

Journal Article↗

129Xe NMR as a probe of the dynamics of gas confined in porous Vycor.

We use 129Xe NMR to probe the diffusion of xenon gas in the porous network of Vycor glass, by monitoring its relaxation properties. When the mean free path of the diffusing gas is larger than the pore size (Knudsen conditions), both 129Xe chemical shifts and relaxation rates are sensitive to the confinement of xenon gas within a porous solid. The influence of both temperature and xenon pressure are recorded on the 129Xe chemical shifts and relaxation rates, in order to characterise the xenon/Vycor interactions. Monte Carlo (MC) and Molecular Dynamics (MD) simulations, using a numerical model of Vycor, are required to interpret the relaxation properties of xenon. MD simulations clearly establish the occurrence of confined diffusion of xenon within Vycor, related to the geometry of this porous media. This work shows the potentiality of NMR relaxation to obtain dynamical information on the diffusion within porous media.

Diffusion↗

Chemical and biological microstructures as probed by dynamic processes.

The dynamic process of electronic energy transfer is shown to be an important tool for probing the microstructure of molecular systems, particularly those in which donors and acceptors occupy specifically labeled sites of spatially confining host matrices. Special attention is given to analyzing the temporal behavior of the direct energy transfer reaction for systems in which the dipolar coupling is between a donor and randomly distributed acceptors. This dynamic process is dependent on two competing lengths when the donor and acceptor distribution is determined by the microstructure of the confining system: Rp, the dominant length characterizing the size of the confinement, and R0, which scales the strength of the dipolar coupling. When energy transfer processes are viewed in the context of these two competing lengths, a picture emerges of the microstructure of the confinement that is consistent with and corroborated by other structural probes.

Energy Transfer↗

Time domain analysis: an alternative way to interpret PGSE experiment.

We report a theoretical development which aims at interpreting Pulsed Gradient Spin Echo data for diffusing fluids in saturated porous media. It consists in analyzing the time dependence of PGSE amplitudes for each single gradient strength, and introduces a new diffusion coefficient D(q) as being continuously dependent on the length scale in the material. Both experimental measurements on water saturated bead packings and simulated experiments in 2D and 3D model systems are interpreted with this approach. D(q) is shown to give a new insight in the micro-macro transition. Its evolution vs. the length scale is non trivial, and can be sensitive to local slow kinetic effects.

Magnetic Resonance Spectroscopy↗

A NMR investigation of adsorption/desorption hysteresis in porous silica gels.

The purpose of this study is to investigate possible differences in geometry and connectivity of the liquid phase in a partially water-satured porous medium between the adsorption and the desorption branches, using a series of silica gels. This was done by comparing the T1 and T2 relaxation times (in 1H and 2H nuclear magnetic resonance (NMR) relaxation) as well as the water self-diffusion coefficient D (in 1H) along the two branches of the adsorption/desorption isotherms. The results show that the two relaxation times and the diffusion coefficient are strongly dependent on the water content (saturation level). When plotted in normalized coordinates, the T1 and T2 vs. P/Po curves fit closely the adsorption/desorption isotherms, which validates the two-population, fast-exchange model. Furthermore, because at equivalent saturation levels, there is no difference between the relaxation times and diffusion coefficients obtained along the adsorption branch and those obtained along the desorption branch, one is led to the conclusion that despite different equilibrium conditions, the geometry and connectivity of the liquid phase are statistically the same along the two branches.

Adsorption↗