Pattern formation for a reaction-diffusion system: Catalytic-dependent diffusion coefficients

[ES]Se considera un modelo de reacción-difusión para dos reactantes en presencia de un tercero, que actúa de catalizador. La escala temporal para el catalizador se compara con la de los reactantes y los coeficientes de difusión dependen solamente de la concentración en el estado de equilibrio del catalizador. Se realizan experimentos para diferentes cinéticas

Competition on counter measures to 2-D facial spoofing attacks

[EN]Spoofing identities using photographs is one of the most common techniques to attack 2-D face recognition systems. There seems to exist no comparative stud- ies of di erent techniques using the same protocols and data. The motivation behind this competition is to com- pare the performance of di erent state-of-the-art algo- rithms on the same database using a unique evaluation method. Six di erent teams from universities around the world have participated in the contest.

Non-Markovian stochastic processes and their applications: from anomalous diffusion to time series analysis

This work provides a forward step in the study and comprehension of the relationships between stochastic processes and a certain class of integral-partial differential equation, which can be used in order to model anomalous diffusion and transport in statistical physics. In the first part, we brought the reader through the fundamental notions of probability and stochastic processes, stochastic integration and stochastic differential equations as well. In particular, within the study of H-sssi processes, we focused on fractional Brownian motion (fBm) and its discrete-time increment process, the fractional Gaussian noise (fGn), which provide examples of non-Markovian Gaussian processes. The fGn, together with stationary FARIMA processes, is widely used in the modeling and estimation of long-memory, or long-range dependence (LRD). Time series manifesting long-range dependence, are often observed in nature especially in physics, meteorology, climatology, but also in hydrology, geophysics, economy and many others. We deepely studied LRD, giving many real data examples, providing statistical analysis and introducing parametric methods of estimation. Then, we introduced the theory of fractional integrals and derivatives, which indeed turns out to be very appropriate for studying and modeling systems with long-memory properties. After having introduced the basics concepts, we provided many examples and applications. For instance, we investigated the relaxation equation with distributed order time-fractional derivatives, which describes models characterized by a strong memory component and can be used to model relaxation in complex systems, which deviates from the classical exponential Debye pattern. Then, we focused in the study of generalizations of the standard diffusion equation, by passing through the preliminary study of the fractional forward drift equation. Such generalizations have been obtained by using fractional integrals and derivatives of distributed orders. In order to find a connection between the anomalous diffusion described by these equations and the long-range dependence, we introduced and studied the generalized grey Brownian motion (ggBm), which is actually a parametric class of H-sssi processes, which have indeed marginal probability density function evolving in time according to a partial integro-differential equation of fractional type. The ggBm is of course Non-Markovian. All around the work, we have remarked many times that, starting from a master equation of a probability density function f(x,t), it is always possible to define an equivalence class of stochastic processes with the same marginal density function f(x,t). All these processes provide suitable stochastic models for the starting equation. Studying the ggBm, we just focused on a subclass made up of processes with stationary increments. The ggBm has been defined canonically in the so called grey noise space. However, we have been able to provide a characterization notwithstanding the underline probability space. We also pointed out that that the generalized grey Brownian motion is a direct generalization of a Gaussian process and in particular it generalizes Brownain motion and fractional Brownain motion as well. Finally, we introduced and analyzed a more general class of diffusion type equations related to certain non-Markovian stochastic processes. We started from the forward drift equation, which have been made non-local in time by the introduction of a suitable chosen memory kernel K(t). The resulting non-Markovian equation has been interpreted in a natural way as the evolution equation of the marginal density function of a random time process l(t). We then consider the subordinated process Y(t)=X(l(t)) where X(t) is a Markovian diffusion. The corresponding time-evolution of the marginal density function of Y(t) is governed by a non-Markovian Fokker-Planck equation which involves the same memory kernel K(t). We developed several applications and derived the exact solutions. Moreover, we considered different stochastic models for the given equations, providing path simulations.

Calculation of the eigenfunctions of the two-group neutron diffusion equation and application to modal decomposition of BWR instabilities

In this thesis, numerical methods aiming at determining the eigenfunctions, their adjoint and the corresponding eigenvalues of the two-group neutron diffusion equations representing any heterogeneous system are investigated. First, the classical power iteration method is modified so that the calculation of modes higher than the fundamental mode is possible. Thereafter, the Explicitly-Restarted Arnoldi method, belonging to the class of Krylov subspace methods, is touched upon. Although the modified power iteration method is a computationally-expensive algorithm, its main advantage is its robustness, i.e. the method always converges to the desired eigenfunctions without any need from the user to set up any parameter in the algorithm. On the other hand, the Arnoldi method, which requires some parameters to be defined by the user, is a very efficient method for calculating eigenfunctions of large sparse system of equations with a minimum computational effort. These methods are thereafter used for off-line analysis of the stability of Boiling Water Reactors. Since several oscillation modes are usually excited (global and regional oscillations) when unstable conditions are encountered, the characterization of the stability of the reactor using for instance the Decay Ratio as a stability indicator might be difficult if the contribution from each of the modes are not separated from each other. Such a modal decomposition is applied to a stability test performed at the Swedish Ringhals-1 unit in September 2002, after the use of the Arnoldi method for pre-calculating the different eigenmodes of the neutron flux throughout the reactor. The modal decomposition clearly demonstrates the excitation of both the global and regional oscillations. Furthermore, such oscillations are found to be intermittent with a time-varying phase shift between the first and second azimuthal modes.

A comprehensive study of the 26th December 2004 Sumatra earthquake: possible implications on Earth rotation and investigations on the coseismic and postseismic stress diffusion associated with the seismic rupture

In this work a multidisciplinary study of the December 26th, 2004 Sumatra earthquake has been carried out. We have investigated both the effect of the earthquake on the Earth rotation and the stress field variations associated with the seismic event. In the first part of the work we have quantified the effects of a water mass redistribution associated with the propagation of a tsunami wave on the Earth’s pole path and on the length-of-day (LOD) and applied our modeling results to the tsunami following the 2004 giant Sumatra earthquake. We compared the result of our simulations on the instantaneous rotational axis variations with some preliminary instrumental evidences on the pole path perturbation (which has not been confirmed yet) registered just after the occurrence of the earthquake, which showed a step-like discontinuity that cannot be attributed to the effect of a seismic dislocation. Our results show that the perturbation induced by the tsunami on the instantaneous rotational pole is characterized by a step-like discontinuity, which is compatible with the observations but its magnitude turns out to be almost one hundred times smaller than the detected one. The LOD variation induced by the water mass redistribution turns out to be not significant because the total effect is smaller than current measurements uncertainties. In the second part of this work of thesis we modeled the coseismic and postseismic stress evolution following the Sumatra earthquake. By means of a semi-analytical, viscoelastic, spherical model of global postseismic deformation and a numerical finite-element approach, we performed an analysis of the stress diffusion following the earthquake in the near and far field of the mainshock source. We evaluated the stress changes due to the Sumatra earthquake by projecting the Coulomb stress over the sequence of aftershocks taken from various catalogues in a time window spanning about two years and finally analyzed the spatio-temporal pattern. The analysis performed with the semi-analytical and the finite-element modeling gives a complex picture of the stress diffusion, in the area under study, after the Sumatra earthquake. We believe that the results obtained with the analytical method suffer heavily for the restrictions imposed, on the hypocentral depths of the aftershocks, in order to obtain the convergence of the harmonic series of the stress components. On the contrary we imposed no constraints on the numerical method so we expect that the results obtained give a more realistic description of the stress variations pattern.

Filiera corta: percorsi di innovazione tecnici, organizzativi e sociali nella gestione strategica delle nicchie. Esperienze in Toscana e in Provenza

There is a widening consensus around the fact that, in many developed countries, food production-consumption patterns are in recent years interested by a process of deep change towards diversification and re-localisation practices, as a counter-tendency to the trend to the increasing disconnection between farming and food, producers and consumers. The relevance of these initiatives doesn't certainly lie on their economic dimension, but rather in their intense diffusion and growth rate, their spontaneous and autonomous nature and, especially, their intrinsic innovative potential. These dynamics involve a wide range of actors around local food patterns, embedding short food supply chains initiatives within a more complex and wider process of rural development, based on principles of sustainability, multifunctionality and valorisation of endogenous resources. In this work we have been analysing these features through a multi-level perspective, with reference to the dynamics between niche and regime and the inherent characteristics of the innovation paths. We apply this approach, through a qualitative methodology, to the analysis of the experience of farmers’ markets and Solidarity-Based Consumers Groups (Gruppi di Acquisto Solidale) ongoing in Tuscany, seeking to highlight the dynamics that are affecting the establishment of this alternative food production-consumption model (and its related innovative potential) from within and from without. To verify if and in which conditions they can constitute a niche, a protected space where radical innovations can develop, we make reference to the three interrelated analytic dimensions of socio-technical systems: the actors (i.e. individuals. social groups, organisations), the rules and institutions system, and the artefacts (i.e. the material and immaterial contexts in which the actors move). Through it, we analyse the innovative potential of niches and the level of their structuration and , then, the mechanisms of system transition, focusing on the new dynamics within the niche and between the niche and the policy regime emerging after the growth of interest by mass-media and public institutions and their direct involvement in the initiatives. Following the development of these significant experiences, we explore more deeply social, economic, cultural, political and organisational factors affecting innovations in face-to-face interactions, underpinning the critical aspects (sharing of alternative values, coherence at individual choices level, frictions on organisational aspects, inclusion/exclusion, attitudes towards integration at territorial level), towards uncovering until to the emergence of tensions and the risks of opportunistic behaviours that might arise from their growth. Finally, a comparison with similar experiences abroad is drawn (specifically with Provence), in order to detect food for thought, potentially useful for leading regional initiativestowards transition path.

Condensational growth of atmospheric aerosol particles in an expanding water saturated air flow

Aerosol particles and water vapour are two important constituents of the atmosphere. Their interaction, i.e. thecondensation of water vapour on particles, brings about the formation of cloud, fog, and raindrops, causing the water cycle on the earth, and being responsible for climate changes. Understanding the roles of water vapour and aerosol particles in this interaction has become an essential part of understanding the atmosphere. In this work, the heterogeneous nucleation on pre-existing aerosol particles by the condensation of water vapour in theflow of a capillary nozzle was investigated. Theoretical and numerical modelling as well as experiments on thiscondensation process were included. Based on reasonable results from the theoretical and numerical modelling, an idea of designing a new nozzle condensation nucleus counter (Nozzle-CNC), that is to utilise the capillary nozzle to create an expanding water saturated air flow, was then put forward and various experiments were carried out with this Nozzle-CNC under different experimental conditions. Firstly, the air stream in the long capillary nozzle with inner diameter of 1.0~mm was modelled as a steady, compressible and heat-conducting turbulence flow by CFX-FLOW3D computational program. An adiabatic and isentropic cooling in the nozzle was found. A supersaturation in the nozzle can be created if the inlet flow is water saturated, and its value depends principally on flow velocity or flow rate through the nozzle. Secondly, a particle condensational growth model in air stream was developed. An extended Mason's diffusion growthequation with size correction for particles beyond the continuum regime and with the correction for a certain particle Reynolds number in an accelerating state was given. The modelling results show the rapid condensational growth of aerosol particles, especially for fine size particles, in the nozzle stream, which, on the one hand, may induce evident `over-sizing' and `over-numbering' effects in aerosol measurements as nozzle designs are widely employed for producing accelerating and focused aerosol beams in aerosol instruments like optical particle counter (OPC) and aerodynamical particle sizer (APS). It can, on the other hand, be applied in constructing the Nozzle-CNC. Thirdly, based on the optimisation of theoretical and numerical results, the new Nozzle-CNC was built. Under various experimental conditions such as flow rate, ambient temperature, and the fraction of aerosol in the total flow, experiments with this instrument were carried out. An interesting exponential relation between the saturation in the nozzle and the number concentration of atmospheric nuclei, including hygroscopic nuclei (HN), cloud condensation nuclei (CCN), and traditionally measured atmospheric condensation nuclei (CN), was found. This relation differs from the relation for the number concentration of CCN obtained by other researchers. The minimum detectable size of this Nozzle-CNC is 0.04?m. Although further improvements are still needed, this Nozzle-CNC, in comparison with other CNCs, has severaladvantages such as no condensation delay as particles larger than the critical size grow simultaneously, low diffusion losses of particles, little water condensation at the inner wall of the instrument, and adjustable saturation --- therefore the wide counting region, as well as no calibration compared to non-water condensation substances.

Untersuchung der Ordnung und Diffusion von Polymerdispersionen bei ihrer Verfilmung

Im Rahmen dieser Arbeit wurde die, für industrielle Applikationen sehr wichtige, Trocknung und Verfilmung von Latexdispersionen untersucht. Unter der Verfilmung wird in diesem Zusammenhang allgemein der Übergang einer Polymerdispersion in einen transparenten, mechanisch stabilen Polymerfilm während ihrer Trocknung verstanden. Für die Untersuchungen wurden schwerpunktmäßig Streumethoden verwendet. Die Untersuchungen haben gezeigt, daß die Streuung eine besonders geeignete Methode zur Untersuchung der Verfilmung ist, die in Abhängigkeit des beobachteten Streuvektorbereichs, der verwendeten Strahlung, der Probenpräparation und des resultierenden Kontrasts eine Vielzahl unterschiedlicher Informationen über die Verfilmung in ihren verschiedenen Phasen liefert. Von besonderem Interesse war es, den prinzipiellen Verlauf der Verfilmung bei den heterogen trocknenden Reinacrylatlatices zu untersuchen. Dazu wurde mit Hilfe der Röntgenultrakleinwinkelstreuung gezielt der Zustand der Partikel in den einzelnen Phasen der heterogen trocknenden Proben beobachtet. Mit Hilfe der Neutronenkleinwinkelstreuung konnte das Verhalten des Emulgators während der Verfilmung und dessen Verteilung im resultierenden Film genauer untersucht werden. Die Röntgenkleinwinkelstreuung erlaubte eine eingehende Untersuchung der Kristallisation des Emulgators im trockenen Film. Geeignete Kontrastierung durch gezielte Deuterierung ermöglichte die Untersuchung des Comonomereinflusses auf die Interdiffusion von Latexpartikeln mit Neutronenkleinwinkelstreuung. Aus den Meßergebnissen wurde ein Modell zur heterogenen Trocknung von Latexdispersionen entwickelt, das den Ablauf der Verfilmung in einem konsistenten Bild zusammenfaßt.

Bistable elliptic equations with fractional diffusion

This work concerns the study of bounded solutions to elliptic nonlinear equations with fractional diffusion. More precisely, the aim of this thesis is to investigate some open questions related to a conjecture of De Giorgi about the one-dimensional symmetry of bounded monotone solutions in all space, at least up to dimension 8. This property on 1-D symmetry of monotone solutions for fractional equations was known in dimension n=2. The question remained open for n>2. In this work we establish new sharp energy estimates and one-dimensional symmetry property in dimension 3 for certain solutions of fractional equations. Moreover we study a particular type of solutions, called saddle-shaped solutions, which are the candidates to be global minimizers not one-dimensional in dimensions bigger or equal than 8. This is an open problem and it is expected to be true from the classical theory of minimal surfaces.

5-substituted triazolinyls as novel counter radicals in controlled radical polymerization

The work is devoted to synthesis of new triazolinyl stable radical derivatives with different substituents at the 5-position of the triazolinyl ring. Obtained results showed great influence of these substituents on the stability of the radical. Electron-rich aromatic substituents at this position stabilize the radical while electron-poor aromatics decrease the stability of the triazolinyl. The triazolinyl radicals synthesized were used as additives for kinetic investigations of controlled radical polymerization of styrene and methylmethacrylate (MMA). The studies performed showed that the more stable radicals provide better control for the polymerization of styrene. In the same time certain instability of the radical is required for realization of controlled polymerization of methylmethacrylate. Based on the kinetic investigations controlled radical polymerization of a variety of monomers including 4-vinylpyridine (4-VP), ethylmethacrylate (EMA), 2,2,2-trifluoroethylmethacrylate (FEMA) and n-butylmethacrylate (BMA)was successfully carried out. Polystyrene and polymethylmethacrylate macroinitiators prepared by triazolinyl mediated controlled radical polymerization were efficiently reinitiated in the presence of a variety of monomers leading to the formation of block copolymers. Using this method PS-b-P-4-VP, PMMA-b-PS, PMMA-b-PBMA, PMMA-b-PFEMA, and PMMA-b-Poly-tert-butylacrylate were successfully synthesized. The results obtained during this work showed the efficiency and flexibility of the method allowing preparation of a range of advanced macromolecular structures.

Partial reconstruction of the trajectories of a discretely observed branching diffusion with immigration and an application to inference

In this treatise we consider finite systems of branching particles where the particles move independently of each other according to d-dimensional diffusions. Particles are killed at a position dependent rate, leaving at their death position a random number of descendants according to a position dependent reproduction law. In addition particles immigrate at constant rate (one immigrant per immigration time). A process with above properties is called a branching diffusion withimmigration (BDI). In the first part we present the model in detail and discuss the properties of the BDI under our basic assumptions. In the second part we consider the problem of reconstruction of the trajectory of a BDI from discrete observations. We observe positions of the particles at discrete times; in particular we assume that we have no information about the pedigree of the particles. A natural question arises if we want to apply statistical procedures on the discrete observations: How can we find couples of particle positions which belong to the same particle? We give an easy to implement 'reconstruction scheme' which allows us to redraw or 'reconstruct' parts of the trajectory of the BDI with high accuracy. Moreover asymptotically the whole path can be reconstructed. Further we present simulations which show that our partial reconstruction rule is tractable in practice. In the third part we study how the partial reconstruction rule fits into statistical applications. As an extensive example we present a nonparametric estimator for the diffusion coefficient of a BDI where the particles move according to one-dimensional diffusions. This estimator is based on the Nadaraya-Watson estimator for the diffusion coefficient of one-dimensional diffusions and it uses the partial reconstruction rule developed in the second part above. We are able to prove a rate of convergence of this estimator and finally we present simulations which show that the estimator works well even if we leave our set of assumptions.

Analysis of nonlinear diffusion equations of second and fourth order

Wegen der fortschreitenden Miniaturisierung von Halbleiterbauteilen spielen Quanteneffekte eine immer wichtigere Rolle. Quantenphänomene werden gewöhnlich durch kinetische Gleichungen beschrieben, aber manchmal hat eine fluid-dynamische Beschreibung Vorteile: die bessere Nutzbarkeit für numerische Simulationen und die einfachere Vorgabe von Randbedingungen. In dieser Arbeit werden drei Diffusionsgleichungen zweiter und vierter Ordnung untersucht. Der erste Teil behandelt die implizite Zeitdiskretisierung und das Langzeitverhalten einer degenerierten Fokker-Planck-Gleichung. Der zweite Teil der Arbeit besteht aus der Untersuchung des viskosen Quantenhydrodynamischen Modells in einer Raumdimension und dessen Langzeitverhaltens. Im letzten Teil wird die Existenz von Lösungen einer parabolischen Gleichung vierter Ordnung in einer Raumdimension bewiesen, und deren Langzeitverhalten studiert.

Ultrafeine Aerosolpartikel in der Stratosphäre

Ein neu konstruierter Kondensationskernzähler COPAS (COndensation PArticle counting System) für in-situ-Messungen der Konzentration von Aitken-Teilchen und ultrafeinen Aerosolpartikeln wurde im Rahmen dieser Arbeit erstmals erfolgreich bei Flugzeugmessungen eingesetzt. COPAS ist ein für flugzeuggestützte Messungen an Bord des Forschungsflugzeuges „Geophysica“ in der oberen Troposphäre und unteren Stratosphäre angepaßtes und voll automatisiertes System. Die Verfahrensweise, die Aerosolpartikel des Größenbereichs mit Durchmessern d < 100 nm zum Anwachsen zu bringen, um sie mittels optischer Detektion zu erfassen, ist im COPAS durch das Prinzip der thermischen Diffusion realisiert, wodurch eine kontinuierliche Messung der Aerosolkonzentration mit der untersten Nachweisgrenze für Partikeldurchmesser von d = 6 nm gewährleistet ist. Durch die Verwendung einer Aerosolheizung ist die Unterscheidung von volatilem und nichtvolatilem Anteil des Aerosols mit COPAS möglich. In umfassenden Laborversuchen wurde das COPAS-System hinsichtlich der unteren Nachweisgrenze in Abhängigkeit von der Betriebstemperatur und bei verschiedenen Druckbedingungen charakterisiert sowie die Effizienz der Aerosolheizung bestimmt. Flugzeuggestützte Messungen fanden in mittleren und polaren Breiten im Rahmen des EUPLEX-/ENVISAT-Validierungs–Projektes und in den Tropen während der TROCCINOX/ENVISAT-Kampagne statt. Die Messungen der vertikalen Konzentrationsverteilung des Aerosols ergaben in polaren Breiten eine Zunahme der Konzentration oberhalb von 17 km innerhalb des polaren Vortex mit hohem Anteil nichtvolatiler Partikel von bis zu 70 %. Als Ursache hierfür wird der Eintrag von meteoritischen Rauchpartikeln aus der Mesosphäre in die obere und mittlere Stratosphäre des Vortex angesehen. Ferner konnte in der unteren Stratosphäre des polaren Vortex der Einfluß troposphärischer Luft aus niedrigen Breiten festgestellt werden, die sich in einer hohen Variabilität der Aerosolpartikelkonzentration manifestiert. In tropischen Breiten wurde die Tropopausenregion untersucht. Dabei wurden Konzentrationen von bis zu 104 ultrafeiner Aerosolpartikel mit 6 nm < d < 14 nm pro cm-3 Luft gemessen, deren hoher volatiler Anteil einen sicheren Hinweis darauf gibt, daß die Partikel durch den Prozeß der homogenen Nukleation gebildet wurden. Damit konnte erstmals die Schlußfolgerungen von Brock et al. (1995) durch direkte Messungen der ultrafeinen Partikelkonzentration weitergehend belegt werden, daß in der tropischen Tropopausenregion die Neubildung von Aerosolpartikeln durch homogene Nukleation stattfindet. Die vertikalen Verteilungen der stratosphärischen Aerosolpartikelkonzentration mittlerer Breiten verdeutlichen die Ausbildung einer über 6 Jahre hinweg nahezu konstanten Hintergrundkonzentration des stratosphärischen Aerosols unter vulkanisch unbeeinflußten Bedingungen. Ferner gibt die vergleichende Untersuchung der stratosphärischen Aerosolpartikelkonzentration aus polaren, mittleren und tropischen Breiten Aufschluß über den Transport und die Prozessierung des stratosphärischen Aerosols und insbesondere über den Austausch von Luftmassen zwischen der Stratosphäre und der Troposphäre.

Design and Setup of a New HPGe Detector Based Body Counter Capable of Detecting Also Low Energy Photon Emitters

The present work describes the development of a new body-counter system based on HPGe detectors and installed at IVM of KIT. The goal, achieved, was the improvement of the ability to detect internal contaminations in the human body, especially the ones concerning low-energy emitters and multiple nuclides. The development of the system started with the characterisation of detectors purchased for this specific task, with the optimisation of the different desired measurement configurations following and ending with the installation and check of the results. A new software has been developed to handle the new detectors.