Ab initio absorption spectrum of NiO combining molecular dynamics with the embedded cluster approach in a discrete reaction field

We developed a procedure that combines three complementary computational methodologies to improve the theoretical description of the electronic structure of nickel oxide. The starting point is a Car-Parrinello molecular dynamics simulation to incorporate vibrorotational degrees of freedom into the material model. By means ofcomplete active space self-consistent field second-order perturbation theory (CASPT2) calculations on embedded clusters extracted from the resulting trajectory, we describe localized spectroscopic phenomena on NiO with an efficient treatment of electron correlation. The inclusion of thermal motion into the theoretical description allowsus to study electronic transitions that, otherwise, would be dipole forbidden in the ideal structure and results in a natural reproduction of the band broadening. Moreover, we improved the embedded cluster model by incorporating self-consistently at the complete active space self-consistent field (CASSCF) level a discrete (or direct) reaction field (DRF) in the cluster surroundings. The DRF approach offers an efficient treatment ofelectric response effects of the crystalline embedding to the electronic transitions localized in the cluster. We offer accurate theoretical estimates of the absorption spectrum and the density of states around the Fermi level of NiO, and a comprehensive explanation of the source of the broadening and the relaxation of the charge transferstates due to the adaptation of the environment

Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations

We present the derivation of the continuous-time equations governing the limit dynamics of discrete-time reaction-diffusion processes defined on heterogeneous metapopulations. We show that, when a rigorous time limit is performed, the lack of an epidemic threshold in the spread of infections is not limited to metapopulations with a scale-free architecture, as it has been predicted from dynamical equations in which reaction and diffusion occur sequentially in time

Dynamical features of reaction-diffusion fronts in fractals

The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration

Effect of initial conditions on the speed of reaction-diffusion fronts

The effect of initial conditions on the speed of propagating fronts in reaction-diffusion equations is examined in the framework of the Hamilton-Jacobi theory. We study the transition between quenched and nonquenched fronts both analytically and numerically for parabolic and hyperbolic reaction diffusion. Nonhomogeneous media are also analyzed and the effect of algebraic initial conditions is also discussed

Study of chemical modification of alkaline lignin by the glyoxalation reaction

In this study, glyoxalated alkaline lignins with a non-volatile and non-toxic aldehyde, which can be obtained from several natural resources, namely glyoxal, were prepared and characterized for its use in wood adhesives. The preparation method consisted of the reaction of lignin with glyoxal under an alkaline medium. The influence of reaction conditions such as the molar ratio of sodium hydroxide-to-lignin and reaction time were studied relative to the properties of the prepared adducts. The analytical techniques used were FTIR and 1H-NMR spectroscopies, gel permeation chromatography (GPC), differential scanning calorimetry (DSC), and thermogravimetric analysis (TGA). Results from both the FTIR and 1H-NMR spectroscopies showed that the amount of introduced aliphatic hydroxyl groups onto the lignin molecule increased with increasing reaction time and reached a maximum value at 10 h, and after they began to decrease. The molecular weights remained unchanged until 10 h of reaction time, and then started to increase, possibly due to the repolymerization reactions. DSC analysis showed that the glass transition temperature (Tg) decreased with the introduction of glyoxal onto the lignin molecule due to the increase in free volume of the lignin molecules. TGA analysis showed that the thermal stability of glyoxalated lignin is not influenced and remained suitable for wood adhesives. Compared to the original lignin, the improved lignin is reactive and a suitable raw material for adhesive formula

Hyperbolic reaction-diffusion equations for a forest fire model

Forest fire models have been widely studied from the context of self-organized criticality and from the ecological properties of the forest and combustion. On the other hand, reaction-diffusion equations have interesting applications in biology and physics. We propose here a model for fire propagation in a forest by using hyperbolic reaction-diffusion equations. The dynamical and thermodynamical aspects of the model are analyzed in detail

Irreversible thermodynamics of Poisson processes with reaction

A kinetic model is derived to study the successive movements of particles, described by a Poisson process, as well as their generation. The irreversible thermodynamics of this system is also studied from the kinetic model. This makes it possible to evaluate the differences between thermodynamical quantities computed exactly and up to second-order. Such differences determine the range of validity of the second-order approximation to extended irreversible thermodynamics

Reaction-diffusion wave fronts: Multigeneration biological species under climate change

A generalization of reaction-diffusion models to multigeneration biological species is presented. It is based on more complex random walks than those in previous approaches. The new model is developed analytically up to infinite order. Our predictions for the speed agree to experimental data for several butterfly species better than existing models. The predicted dependence for the speed on the number of generations per year allows us to explain the change in speed observed for a specific invasion

Speed of reaction-diffusion fronts in spatially heterogeneous media

The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities

Speed of reaction-transport processes

We present an approach to determining the speed of wave-front solutions to reaction-transport processes. This method is more accurate than previous ones. This is explicitly shown for several cases of practical interest: (i) the anomalous diffusion reaction, (ii) reaction diffusion in an advective field, and (iii) time-delayed reaction diffusion. There is good agreement with the results of numerical simulations

Speed of wave-front solutions to hyperbolic reaction-diffusion equations

The asymptotic speed problem of front solutions to hyperbolic reaction-diffusion (HRD) equations is studied in detail. We perform linear and variational analyses to obtain bounds for the speed. In contrast to what has been done in previous work, here we derive upper bounds in addition to lower ones in such a way that we can obtain improved bounds. For some functions it is possible to determine the speed without any uncertainty. This is also achieved for some systems of HRD (i.e., time-delayed Lotka-Volterra) equations that take into account the interaction among different species. An analytical analysis is performed for several systems of biological interest, and we find good agreement with the results of numerical simulations as well as with available observations for a system discussed recently

Time-delayed reaction-diffusion fronts

A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one

Reaction-diffusion waves of advance in the transition to agricultural economics

In a previous paper [J.Fort and V.Méndez, Phys. Rev. Lett. 82, 867 (1999)], the possible importance of higher-order terms in a human population wave of advance has been studied. However, only a few such terms were considered. Here we develop a theory including all higher-order terms. Results are in good agreement with the experimental evidence involving the expansion of agriculture in Europe

Acute inflammatory reaction associated with endoluminal bypass grafts.

PURPOSE: Nonspecific inflammatory reactions characterized by local tenderness, fever, and flu-like discomfort have been seen in patients undergoing endoluminal graft placement in the abdominal aorta or the femoral arteries. We undertook a study to assess the clinical and laboratory parameters of this inflammation. METHODS: Ten patients with femoropopliteal artery (n = 9) or aortic (n = 1) lesions were treated with EndoPro System 1 stent-grafts made of nitinol alloy and covered with a polyester (Dacron) fabric. Eleven patients implanted with a bare nitinol stent served as the control group. RESULTS: In the stent-graft group, four patients showed clinical signs of acute inflammation manifested by fever and local tenderness. Three of these patients suffered thrombosis of the stent-grafts during the first month of follow-up. Plasma levels of interleukin-1 beta and interleukin-6 in all stent-graft patients were markedly increased 1 day after intervention (7.3 +/- 2.8 versus 90.2 +/- 34.1 pg/mL and 15.6 +/- 5.8 versus 175.5 +/- 66.3 pg/mL, respectively; p < 0.01). This was followed by an increase in fibrinogen (3.0 +/- 0.2 versus 5.0 +/- 0.2 g/L; p < 0.05) and C-reactive protein (14.6 +/- 3.3 versus 77.5 +/- 15.0 mg/L; p < 0.01) at 1 week. No direct correlation between the inflammatory markers and symptoms could be found. In vitro analysis showed that individual components of the stent-graft did not activate human neutrophils, whereas the intact stent-graft itself induced a marked neutrophil activation. CONCLUSIONS: The component of the self-expanding stent-graft responsible for the nonspecific inflammatory reaction was not identified in this study. It is likely that the stent-graft itself or some as yet unrecognized element of the device other than the Dacron fabric or metal alloy may be a potent in vivo inducer of cytokine reaction by neutrophils.

Kinetics of crystal growth and equilibrium domains in eclogite of the Sesia Zone, Western Alps

Kinetics of crystal growth and equilibrium domains in eclogite of the Sesia Zone, Western Alps Darbellay Bastien Institut de Minéralogie et Géochimie Résumé grand public Comme toute matière, la roche est sensible à son environnement et cherche à s'adapter pour acquérir un état stable (état d'équilibre). Les changements des conditions physiques (température et pression) vont ainsi impliquer des modifications dans la roche. Le métamorphisme est l'étude de ces changements. Les minéraux qui constituent la roche peuvent modifier, leur structure, leur chimie ou être remplacer par d'autres minéraux plus stables. Il est ainsi crucial de déterminer les processus responsables et limitant de la croissance minérale. Trois processus permettent la croissance ; (1) la dissolution des éléments du réactant, (2) le transport de ces éléments vers le site de croissance, (3) l'incorporation de ces éléments dans la nouvelle structure. Cette thèse se focalise sur les structures des minéraux de haute pression (forme, zonation chimique, structure interne) pour essayer de déterminer les facteurs importants à l'origine de leur état final. Les zones d'étude se situent dans la zone de Sésia. La première partie traite de la problématique liée à l'incorporation d'un élément dans une structure minérale. A l'image de la croissance humaine, les irrégularités minéralogiques permettent de mettre en lumière un dysfonctionnement de la croissance due à un excès ou à une carence d'un élément. Bien dosé, cet élément est cependant essentiel à la croissance. Les zoisites (épidotes) des métabasites de la région de Cima di Bonze montrent une zonation chimique en sablier. Dans cette zonation la teneur en fer excède la capacité maximum que peut contenir la structure orthorhombique de la zoisite. Des défauts de structure permettent l'accommodation de cet excès. La zoisite peut ainsi adapter sa structure pour permettre l'incorporation d'une relativement grande quantité de fer. Les études précédentes montraient, pour des conditions similaires, la formation de deux épidotes distinctes. La deuxième partie se penche sur la compétition entre le minéral qui fait sa croissance et les minéraux (réactants) qui l'entourent. Les métapélites de la région du Monte Mucrone contiennent des grenats atollaires. Des études détaillées de la texture et de la zonation chimique du grenat ainsi qu'une modélisation thermodynamique ont permis de mieux cerner les facteurs importants responsables de la forme atollaire. Cette structure est obtenue par un changement du comportement de la croissance du grenat le long d'un chemin P-T hercynien. Dans un premier stade, le grenat croît rapidement et consume peu le quartz de la matrice. La croissance se fait ainsi le long des jointures des grains de quartz. Dans un second temps, les changements de conditions PT donnent une croissance lente du grenat et une forte consommation du quartz. Le grenat peut ainsi développer sa forme dodécaédrale classique. La troisième partie s'intéresse aux distances de transport par diffusion d'un élément (ici l'argon) durant la haute pression. Pour ce faire, un profile d'âges 40Ar/39Ar sur biotite a été mesuré depuis un veine de haute pression riche en argon jusque dans son encaissant (granitoïd du Monte Mucrone). Le profile montre une répartition des âges suivant une courbe de diffusion. Le transport se fait sur une longueur de deux centimètre avec l'aide d'un fluide. Il est réduit à une échelle millimétrique quand la phase fluide disparaît. Cette étude montre ainsi les difficultés de transport des éléments durant la haute pression ne permettant pas un rééquilibrage de la roche à grande échelle. Kinetics of crystal growth and equilibrium domains in eclogite of the Sesia Zone, Western Alps Darbellay Bastien Institut de Minéralogie et Géochimie Résumé de thèse Les processus de croissance (diffusion des éléments et les réactions d'interface) et les conditions dans lesquelles les minéraux grandissent (température, pression, fluide, composition chimique de la roche), déterminent la texture ainsi que la zonation des minéraux. Cette thèse se focalise, par le biais de textures peu communes, sur trois différents processus impliqués dans la croissance minérale à haute pression (Zone de Sésia, Alpes de l'Ouest, Italie). L'incorporation d'un élément dans une structure minérale ne peut se faire que dans des sites en accord avec la taille et la charge ionique de l'élément. De plus, la balance de charge doit être maintenue dans le minéral. La régularité de la structure cristalline fixe ainsi une limite maximum de concentration d'un élément donné. Les zoisites provenant des métabasites de la région de Cima di Bonze montrent des zonations en sablier caractérisées par une concentration anormale en fer. La zonation se marque par une différente teinte de biréfringence et par un plus grand angle d'extinction que le reste de la zoisite. Une inter-croissance de clinozoisite à l'intérieur de la structure orthorhombique de la zoisite peut ainsi être suspectée. Les analyses XRD (diffraction des rayons x) ainsi que les analyses Raman ne confirment pas cette suspicion. Seules les analyses TEM (microscope à électrons transmis) montrent des défauts de structure pouvant être interprétés comme des modules de clinozoisite. Ils ne peuvent cependant pas être considérés comme une phase thermodynamique. Un nouveau trou d'immiscibilité entre deux zoisite (X ep= 0.1 and Xep = 0.15) a ainsi pu être établi. Dans les métapélites la région du Monte Mucrone, des grenats fortement zonés montrent une évolution texturale singulière. Ils présentent une forme initiale de `champignon' qui se développe pour former une structure atollaire finale. L'étude conjuguée de la structure 3D et des zonations, ainsi que l'établissement d'un model thermodynamique, indiquent que ces structures proviennent de deux épisodes de croissances : (1) La croissance du grenat durant un chemin prograde hercynien (de 525 °C et 6.2 kbar à 640 °C et 9 kbar) permet la formation des textures atollaires. Elles sont le résultat d'une croissance poecilitique initiale suivie d'une croissance idiomorphique du grenat. (2) La structure est rendue plus complexe par la cristallisation d'un grenat homogène tout autour ainsi qu'à l'intérieur du grenat hercynien durant la haute pression alpine (550 °C and 20 kbar). L'arrivée de l'eau durant la haute pression facilite le transport d'éléments et permet une cristallisation rapide du grenat. La diffusion peut être un facteur limitant de la croissance minéralogique. Elle a aussi une grande importance pour la géochronologie. Une veine de haute pression à l'intérieur du granitoïde du Monte Mucrone a été étudiée dans le but de déterminer la distance de diffusion de l'argon. Le profile d'âges 40Ar/39Ar sur biotites, établi de la veine vers le métagranitoïde, suit une courbe de diffusion. Les âges sont élevés proche de la veine (800 Ma) puis décroissent jusqu'à des âges homogènes (170-150 Ma) à deux centimètres de la veine. La présence de fluide, marqué par de hautes concentrations en chlore, permet une diffusion centimétrique. Cependant, la distance est réduite à une échelle millimétrique quand le fluide est absent. Les très faibles distances de diffusion préservent les âges pré-alpins et impliquent un événement géologique pour les âges de 170-150 Ma. Kinetics of crystal growth and equilibrium domains in eclogite of the Sesia Zone, Western Alps Darbellay Bastien Institut de Minéralogie et Géochimie Thesis abstract Rock textures and zonings are the consequence of growth processes (element diffusion and interface reaction) steered by the environment in which they grew (pressure, differential stress, temperature, fluid and rock composition). The thesis presented here focuses on three different topics, each of it dealing with aspects of mineral growth processes during subduction, in a high-pressure environment. All studies were conducted in the Sesia Zone of the Western European Alps, Italy. The first study addresses the crystallography and geochemistry of element incorporation in zoisite, one of the major hydrous minerals found in subduction zone rocks. Elements can be incorporated into a mineral structure only on crystallographic sites that offer enough space for the ion and the overall charge balance has to be maintained. Element concentrations are hence limited. Incorporation of some elements produces complex zoning, including hourglass like patterns, which are the focus of the first contribution. Zoisites from Cima di Bonze (Sesia Zone) show spectacular hourglass zoning defined by Fe-content variations. The hourglass zones have a distinct birefringence and a different extinction angle than the regular part of the zoisite. We show by detailed XRD (X-ray diffraction) and confocal Raman analyses that the high Fe-zones are nevertheless zoisite, and not clinozoisite as one might expect. High resolution TEM (transmission electron microscopy) analyses show planar defects on (100) that can be interpreted as small-scale clinozoisite modules. However, these clinozoisites cannot be interpreted as a distinctive thermodynamic phase and the entire mineral has to be considered as zoisite. The miscibility gap between two zoisites (Xep = 0.1 and Xep = 0.15) can be then definite at 550 ± 50°C and 14 to 20 Kbar. Strongly zoned garnets in quartz rich metapelite from the Monte Mucrone area (Sesia Zone) show evolution form 3D mushroom to atoll structure. The second contribution presents textural investigations, garnet zoning and thermodynamic modeling that demonstrate that atoll garnets are the result of two distinctive growth events. (1) Garnet atoll structure is already formed during a prograde Hercynian path from 525 °C and 6.2 kbar to 640 °C and 9 kbar. It results in an initial poikilitic growth followed by a final idiomorphic growth event. (2) Alpine HP garnet are homogenous (550 °C and 20 kbar) and grew around and also inside the Hercynian garnet. Lack of prograde Alpine garnet and fast growth of the HP garnet is explained by the absence of water during much of the prograde path. Water saturation was only observed towards the end, close towards the peak metamorphic conditions. Diffusion could be a limiting factor for crystal growth. It has also a great importance in geochronology. HP vein inside the metagranitoide of the Monte Mucrone (~300 Ma) was investigated to determine argon diffusion scales during high-pressure metamorphism. 40Ar/39Ar biotite ages profile from the vein toward the metagranodiorite show a diffusion curve: old ages (800 Ma) located close to the vein decrease until homogenous 170-150 Ma ages are obtained, two centimeter away from the vein. Centimeter-scale diffusion occurs with help of a fluid phase marked by high chlorine concentrations. Argon diffusion is reduced to a millimeter scale when free fluid is absent. Very short diffusion distance permits to preserve pre-Alpine ages. The 170-150 Ma ages are considered to be geologic meaningful, probably resulting from the extensional tectonics linked to opening of the Tethian ocean.