Failure modes of passive decay heat removing safety systems of modern nuclear power plants

The purpose of this master’s thesis is to gain an understanding of passive safety systems’ role in modern nuclear reactors projects and to research the failure modes of passive decay heat removal safety systems which use phenomenon of natural circulation. Another purpose is to identify the main physical principles and phenomena which are used to establish passive safety tools in nuclear power plants. The work describes passive decay heat removal systems used in AES-2006 project and focuses on the behavior of SPOT PG system. The descriptions of the main large-scale research facilities of the passive safety systems of the AES-2006 power plant are also included. The work contains the calculations of the SPOT PG system, which was modeled with thermal-hydraulic system code TRACE. The dimensions of the calculation model are set according to the dimensions of the real SPOT PG system. In these calculations three parameters are investigated as a function of decay heat power: the pressure of the system, the natural circulation mass flow rate around the closed loop, and the level of liquid in the downcomer. The purpose of the calculations is to test the ability of the SPOT PG system to remove the decay heat from the primary side of the nuclear reactor in case of failure of one, two, or three loops out of four. The calculations show that three loops of the SPOT PG system have adequate capacity to provide the necessary level of safety. In conclusion, the work supports the view that passive systems could be widely spread in modern nuclear projects.

Structure and far-infrared edge modes of quantum antidots at zero magnetic field

We have investigated edge modes of different multipolarity sustained by quantum antidots at zero magnetic field. The ground state of the antidot is described within a local-density-functional formalism. Two sum rules, which are exact within this formalism, have been derived and used to evaluate the energy of edge collective modes as a function of the surface density and the size of the antidot.

A mathematical model of crystallization in an emulsion

A mathematical model incorporating many of the important processes at work in the crystallization of emulsions is presented. The model describes nucleation within the discontinuous domain of an emulsion, precipitation in the continuous domain, transport of monomers between the two domains, and formation and subsequent growth of crystals in both domains. The model is formulated as an autonomous system of nonlinear, coupled ordinary differential equations. The description of nucleation and precipitation is based upon the Becker–Döring equations of classical nucleation theory. A particular feature of the model is that the number of particles of all species present is explicitly conserved; this differs from work that employs Arrhenius descriptions of nucleation rate. Since the model includes many physical effects, it is analyzed in stages so that the role of each process may be understood. When precipitation occurs in the continuous domain, the concentration of monomers falls below the equilibrium concentration at the surface of the drops of the discontinuous domain. This leads to a transport of monomers from the drops into the continuous domain that are then incorporated into crystals and nuclei. Since the formation of crystals is irreversible and their subsequent growth inevitable, crystals forming in the continuous domain effectively act as a sink for monomers “sucking” monomers from the drops. In this case, numerical calculations are presented which are consistent with experimental observations. In the case in which critical crystal formation does not occur, the stationary solution is found and a linear stability analysis is performed. Bifurcation diagrams describing the loci of stationary solutions, which may be multiple, are numerically calculated.

Alternative reproductive modes of Atlantic forest frogs

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Mathematical models of generalized diffusion

We discuss in this paper equations describing processes involving non-linear and higher-order diffusion. We focus on a particular case (u(t) = 2 lambda (2)(uu(x))(x) + lambda (2)u(xxxx)), which is put into analogy with the KdV equation. A balance of nonlinearity and higher-order diffusion enables the existence of self-similar solutions, describing diffusive shocks. These shocks are continuous solutions with a discontinuous higher-order derivative at the shock front. We argue that they play a role analogous to the soliton solutions in the dispersive case. We also discuss several physical instances where such equations are relevant.

Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices

The properties of the localized states of a two-component Bose-Einstein condensate confined in a nonlinear periodic potential (nonlinear optical lattice) are investigated. We discuss the existence of different types of solitons and study their stability by means of analytical and numerical approaches. The symmetry properties of the localized states with respect to nonlinear optical lattices are also investigated. We show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components and bright localized modes of mixed symmetry type, as well as dark-bright bound states and bright modes on periodic backgrounds. In spite of the quasi-one-dimensional nature of the problem, the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied. This transition is associated with the existence of an unstable solution, which exhibits a shrinking (decaying) behavior for slightly overcritical (undercritical) variations in the number of atoms.

Two modes of Gulf Stream variability revealed in two decades of Satellite Altimeter Data

[ES]Charla divulgativa impartida en el Postdoctoal symposium de la Woods Hole oceanographic Institution. Artículo original pulicado en  Journal of Geophysical Research-Oceans

Mathematical models of cognitive processes

The research activity carried out during the PhD course was focused on the development of mathematical models of some cognitive processes and their validation by means of data present in literature, with a double aim: i) to achieve a better interpretation and explanation of the great amount of data obtained on these processes from different methodologies (electrophysiological recordings on animals, neuropsychological, psychophysical and neuroimaging studies in humans), ii) to exploit model predictions and results to guide future research and experiments. In particular, the research activity has been focused on two different projects: 1) the first one concerns the development of neural oscillators networks, in order to investigate the mechanisms of synchronization of the neural oscillatory activity during cognitive processes, such as object recognition, memory, language, attention; 2) the second one concerns the mathematical modelling of multisensory integration processes (e.g. visual-acoustic), which occur in several cortical and subcortical regions (in particular in a subcortical structure named Superior Colliculus (SC)), and which are fundamental for orienting motor and attentive responses to external world stimuli. This activity has been realized in collaboration with the Center for Studies and Researches in Cognitive Neuroscience of the University of Bologna (in Cesena) and the Department of Neurobiology and Anatomy of the Wake Forest University School of Medicine (NC, USA). PART 1. Objects representation in a number of cognitive functions, like perception and recognition, foresees distribute processes in different cortical areas. One of the main neurophysiological question concerns how the correlation between these disparate areas is realized, in order to succeed in grouping together the characteristics of the same object (binding problem) and in maintaining segregated the properties belonging to different objects simultaneously present (segmentation problem). Different theories have been proposed to address these questions (Barlow, 1972). One of the most influential theory is the so called “assembly coding”, postulated by Singer (2003), according to which 1) an object is well described by a few fundamental properties, processing in different and distributed cortical areas; 2) the recognition of the object would be realized by means of the simultaneously activation of the cortical areas representing its different features; 3) groups of properties belonging to different objects would be kept separated in the time domain. In Chapter 1.1 and in Chapter 1.2 we present two neural network models for object recognition, based on the “assembly coding” hypothesis. These models are networks of Wilson-Cowan oscillators which exploit: i) two high-level “Gestalt Rules” (the similarity and previous knowledge rules), to realize the functional link between elements of different cortical areas representing properties of the same object (binding problem); 2) the synchronization of the neural oscillatory activity in the γ-band (30-100Hz), to segregate in time the representations of different objects simultaneously present (segmentation problem). These models are able to recognize and reconstruct multiple simultaneous external objects, even in difficult case (some wrong or lacking features, shared features, superimposed noise). In Chapter 1.3 the previous models are extended to realize a semantic memory, in which sensory-motor representations of objects are linked with words. To this aim, the network, previously developed, devoted to the representation of objects as a collection of sensory-motor features, is reciprocally linked with a second network devoted to the representation of words (lexical network) Synapses linking the two networks are trained via a time-dependent Hebbian rule, during a training period in which individual objects are presented together with the corresponding words. Simulation results demonstrate that, during the retrieval phase, the network can deal with the simultaneous presence of objects (from sensory-motor inputs) and words (from linguistic inputs), can correctly associate objects with words and segment objects even in the presence of incomplete information. Moreover, the network can realize some semantic links among words representing objects with some shared features. These results support the idea that semantic memory can be described as an integrated process, whose content is retrieved by the co-activation of different multimodal regions. In perspective, extended versions of this model may be used to test conceptual theories, and to provide a quantitative assessment of existing data (for instance concerning patients with neural deficits). PART 2. The ability of the brain to integrate information from different sensory channels is fundamental to perception of the external world (Stein et al, 1993). It is well documented that a number of extraprimary areas have neurons capable of such a task; one of the best known of these is the superior colliculus (SC). This midbrain structure receives auditory, visual and somatosensory inputs from different subcortical and cortical areas, and is involved in the control of orientation to external events (Wallace et al, 1993). SC neurons respond to each of these sensory inputs separately, but is also capable of integrating them (Stein et al, 1993) so that the response to the combined multisensory stimuli is greater than that to the individual component stimuli (enhancement). This enhancement is proportionately greater if the modality-specific paired stimuli are weaker (the principle of inverse effectiveness). Several studies have shown that the capability of SC neurons to engage in multisensory integration requires inputs from cortex; primarily the anterior ectosylvian sulcus (AES), but also the rostral lateral suprasylvian sulcus (rLS). If these cortical inputs are deactivated the response of SC neurons to cross-modal stimulation is no different from that evoked by the most effective of its individual component stimuli (Jiang et al 2001). This phenomenon can be better understood through mathematical models. The use of mathematical models and neural networks can place the mass of data that has been accumulated about this phenomenon and its underlying circuitry into a coherent theoretical structure. In Chapter 2.1 a simple neural network model of this structure is presented; this model is able to reproduce a large number of SC behaviours like multisensory enhancement, multisensory and unisensory depression, inverse effectiveness. In Chapter 2.2 this model was improved by incorporating more neurophysiological knowledge about the neural circuitry underlying SC multisensory integration, in order to suggest possible physiological mechanisms through which it is effected. This endeavour was realized in collaboration with Professor B.E. Stein and Doctor B. Rowland during the 6 months-period spent at the Department of Neurobiology and Anatomy of the Wake Forest University School of Medicine (NC, USA), within the Marco Polo Project. The model includes four distinct unisensory areas that are devoted to a topological representation of external stimuli. Two of them represent subregions of the AES (i.e., FAES, an auditory area, and AEV, a visual area) and send descending inputs to the ipsilateral SC; the other two represent subcortical areas (one auditory and one visual) projecting ascending inputs to the same SC. Different competitive mechanisms, realized by means of population of interneurons, are used in the model to reproduce the different behaviour of SC neurons in conditions of cortical activation and deactivation. The model, with a single set of parameters, is able to mimic the behaviour of SC multisensory neurons in response to very different stimulus conditions (multisensory enhancement, inverse effectiveness, within- and cross-modal suppression of spatially disparate stimuli), with cortex functional and cortex deactivated, and with a particular type of membrane receptors (NMDA receptors) active or inhibited. All these results agree with the data reported in Jiang et al. (2001) and in Binns and Salt (1996). The model suggests that non-linearities in neural responses and synaptic (excitatory and inhibitory) connections can explain the fundamental aspects of multisensory integration, and provides a biologically plausible hypothesis about the underlying circuitry.

Aureobasidium pullulans as biological control agent: modes of action

The postharvest phase has been considered an environment very suitable for successful application of biological control agents (BCAs). However, the tri-interaction between fungal pathogen, host (fruit) and antagonist is influenced by several parameters such as temperature, oxidative stresses, oxygen composition, water activity, etc. that could be determining for the success of biocontrol. Knowledge of the modes of action of BCAs is essential in order to enhance their viability and increase their potentialities in disease control. The thesis focused on the possibility to explain the modes of action of a biological control agent (BCA): Aureobasidium pullulans, in particular the strains L1 and L8, control effective against fruit postharvest fungal pathogen. In particular in this work were studied the different modes of action of BCA, such as: i) the ability to produce volatile organic compounds (VOCs), identified by SPME- gas chromatography-mass spectrometry (GC-MS) and tested by in vitro and in vivo assays against Penicillium spp., Botrytis cinerea, Colletotrichum acutatum; ii) the ability to produce lytic enzymes (exo and endo chitinase and β-1,3-glucanase) tested against Monilinia laxa, causal agent of brown rot of stone fruits. L1 and L8 lytic enzymes were also evaluated through their relative genes by molecular tools; iii) the competition for space and nutrients, such as sugars (sucrose, glucose and fructose) and iron; the latter induced the production of siderophores, molecules with high affinity for iron chelation. A molecular investigation was carried out to better understand the gene regulation strictly correlated to the production of these chelating molucules. The competition for space against M. laxa was verified by electron microscopy techniques; iv) a depth bibliographical analysis on BCAs mechanisms of action and their possible combination with physical and chemical treatments was conducted.

Evidence for distinct modes of solar activity

The Sun shows strong variability in its magnetic activity, from Grand minima to Grand maxima, but the nature of the variability is not fully understood, mostly because of the insufficient length of the directly observed solar activity records and of uncertainties related to long-term reconstructions. Here we present a new adjustment-free reconstruction of solar activity over three millennia and study its different modes. Methods. We present a new adjustment-free, physical reconstruction of solar activity over the past three millennia, using the latest verified carbon cycle, 14C production, and archeomagnetic field models. This great improvement allowed us to study different modes of solar activity at an unprecedented level of details. Results. The distribution of solar activity is clearly bi-modal, implying the existence of distinct modes of activity. The main regular activity mode corresponds to moderate activity that varies in a relatively narrow band between sunspot numbers 20 and 67. The existence of a separate Grand minimum mode with reduced solar activity, which cannot be explained by random fluctuations of the regular mode, is confirmed at a high confidence level. The possible existence of a separate Grand maximum mode is also suggested, but the statistics is too low to reach a confident conclusion. Conclusions. The Sun is shown to operate in distinct modes – a main general mode, a Grand minimum mode corresponding to an inactive Sun, and a possible Grand maximum mode corresponding to an unusually active Sun. These results provide important constraints for both dynamo models of Sun-like stars and investigations of possible solar influence on Earth’s climate.

The Devil’s Calculus: Mathematical Models of Civil War

In spite of the movement to turn political science into a real science, various mathematical methods that are now the staples of physics, biology, and even economics are thoroughly uncommon in political science, especially the study of civil war. This study seeks to apply such methods - specifically, ordinary differential equations (ODEs) - to model civil war based on what one might dub the capabilities school of thought, which roughly states that civil wars end only when one side’s ability to make war falls far enough to make peace truly attractive. I construct several different ODE-based models and then test them all to see which best predicts the instantaneous capabilities of both sides of the Sri Lankan civil war in the period from 1990 to 1994 given parameters and initial conditions. The model that the tests declare most accurate gives very accurate predictions of state military capabilities and reasonable short term predictions of cumulative deaths. Analysis of the model reveals the scale of the importance of rebel finances to the sustainability of insurgency, most notably that the number of troops required to put down the Tamil Tigers is reduced by nearly a full order of magnitude when Tiger foreign funding is stopped. The study thus demonstrates that accurate foresight may come of relatively simple dynamical models, and implies the great potential of advanced and currently unconventional non-statistical mathematical methods in political science.

Active materiality : the agency of matter from the phenomenological perspective = Materialidad activa : la operatividad de la materia desde el punto de vista fenomenológico

The role of matter has remained central to the making and the thinking of architecture, yet many attempts to capture its essence have been trapped in a dialectic tension between form and materiality, between material consistency and immaterial modes of perception, between static states and dynamic processes, between the real and the virtual, thus advancing an increasing awareness of the perplexing complexity of the material world. Within that complexity, the notion of agency – emerging from and within ecological, politico-economic and socio-cultural processes – calls for a reconceptualization of matter, and consequently processes of materialisation, offering a new understanding of context and space, approached as a field of dynamic relationships. In this context, cutting across boundaries between architectural discourse and practice as well as across the vast trans-disciplinary territory, this dissertation aims to illustrate a variety of design methodologies that have derived from the relational approach. More specifically, the intention is to offer new insights into spatial epistemologies embedded within the notion of atmosphere – commonly associated with the so-called New Phenomenology – and to reflect upon its implications for architectural production. In what follows, the intended argumentation has a twofold dimension. First, through a scrutiny of the notion of atmosphere, the aim is to explore ways of thinking and shaping reality through relations, thus acknowledging the aforementioned complexity of the material universe disclosed through human and non-human as well as material and immaterial forces. Secondly, despite the fact that concerns for atmospherics have flourished over the last few decades, the objective is to reveal that the conceptual foundations and procedures for the production of atmosphere might be found beneath the surface of contemporary debates. Hence, in order to unfold and illustrate previously advocated assumptions, an archaeological approach is adopted, tracing a particular projective genealogy, one that builds upon an atmospheric awareness. Accordingly, in tracing such an atmospheric awareness the study explores the notoriously ambiguous nature and the twofold dimension of atmosphere – meteorological and aesthetic – and the heterogeneity of meanings embedded in them. In this context, the notion of atmosphere is presented as parallactic. It transgresses the formal and material boundaries of bodies. It calls for a reevaluation of perceptual experience, opening a new gap that exposes the orthodox space-bodyenvironment relationships to questioning. It offers to architecture an expanded domain in which to manifest itself, defining architectural space as a contingent construction and field of engagement, and presenting matter as a locus of production/performance/action. Consequently, it is such an expanded or relational dimension that constitutes the foundation of what in the context of this study is to be referred to as affective tectonics. Namely, a tectonics that represents processual and experiential multiplicity of convergent time and space, body and environment, the material and the immaterial; a tectonics in which matter neither appears as an inert and passive substance, nor is limited to the traditionally regarded tectonic significance or expressive values, but is presented as an active element charged with inherent potential and vitality. By defining such a relational materialism, the intention is to expand the spectrum of material attributes revealing the intrinsic relationships between the physical properties of materials and their performative, transformative and affective capacities, including effects of interference and haptic dynamics – i.e. protocols of transmission and interaction. The expression that encapsulates its essence is: ACTIVE MATERIALITY RESUMEN El significado de la materia ha estado desde siempre ligado al pensamiento y el quehacer arquitectónico. Sin embargo, muchos intentos de capturar su esencia se han visto sumergidos en una tensión dialéctica entre la forma y la materialidad, entre la consistencia material y los modos inmateriales de la percepción, entre los estados estáticos y los procesos dinámicos, entre lo real y lo virtual, revelando una creciente conciencia de la desconcertante complejidad del mundo material. En esta complejidad, la noción de la operatividad o capacidad agencial– que emerge desde y dentro de los procesos ecológicos, políticos y socio-culturales– requiere de una reconceptualización de la materia y los procesos inherentes a la materialización, ofreciendo una nueva visión del contexto y el espacio, entendidos como un campo relacional dinámico. Oscilando entre el discurso arquitectónico y la práctica arquitectónica, y atravesando un extenso territorio trans-disciplinar, el objetivo de la presente tesis es ilustrar la variedad de metodologías proyectuales que emergieron desde este enfoque relacional. Concretamente, la intención es indagar en las epistemologías espaciales vinculadas a la noción de la atmósfera– generalmente asociada a la llamada Nueva Fenomenología–, reflexionando sobre su impacto en la producción arquitectónica. A continuación, el estudio ofrece una doble línea argumental. Primero, a través del análisis crítico de la noción de atmósfera, el objetivo es explorar maneras de pensar y dar forma a la realidad a través de las relaciones, reconociendo la mencionada complejidad del universo material revelado a través de fuerzas humanas y no-humanas, materiales e inmateriales. Segundo, a pesar de que el interés por las atmósferas ha florecido en las últimas décadas, la intención es demostrar que las bases conceptuales y los protocolos proyectuales de la creación de atmósferas se pueden encontrar bajo la superficie de los debates contemporáneos. Para corroborar e ilustrar estas hipótesis se propone una metodología de carácter arqueológico, trazando una particular genealogía de proyectos– la que se basa en una conciencia atmosférica. Asimismo, al definir esta conciencia atmosférica, el estudio explora tanto la naturaleza notoriamente ambigua y la dimensión dual de la atmósfera– meteorológica y estética–, como la heterogeneidad de significados derivados de ellas. En este contexto, la atmósfera se entiende como un concepto detonante, ya que sobrepasa los limites formales y materiales de los cuerpos, llevando a la re-evaluación de la experiencia perceptiva y abriendo a preguntas la ortodoxa relación espacio- cuerpo-ambiente. En consecuencia, la noción de la atmósfera ofrece a la arquitectura una dimensión expandida donde manifestarse, definiendo el espacio como una construcción contingente, performativa y afectiva, y presentando la materia como locus de producción/ actuación/ acción. Es precisamente esta dimensión expandida relacional la que constituye una base para lo que en el contexto del presente estudio se define como una tectónica afectiva. Es decir, una tectónica que representa una multiplicidad procesual y experiencial derivada de la convergencia entre el tiempo y el espacio, el cuerpo y el entorno, lo material y lo inmaterial; una tectónica en la que la materia no aparece como una substancia pasiva e inerte, ni es limitada al significado considerado tradicionalmente constructivo o a sus valores expresivos, sino que se presenta como elemento activo cargado de un potencial y vitalidad inherentes. A través de la definición de este tipo de materialismo afectivo, la intención es expandir el espectro de los atributos materiales, revelando las relaciones intrínsecas entre las propiedades físicas de los materiales y sus capacidades performativas, transformativas y afectivas, incluyendo efectos de interferencias y dinámicas hápticas– o dicho de otro modo, protocolos de transmisión e interacción. Una expresión que encapsula su esencia vendría a ser: MATERIALIDAD ACTIVA

Stretching dependence of the vibration modes of a single-molecule Pt-H2-Pt bridge

A conducting bridge of a single hydrogen molecule between Pt electrodes is formed in a break junction experiment. It has a conductance near the quantum unit, G0=2e2∕h, carried by a single channel. Using point-contact spectroscopy three vibration modes are observed and their variation upon isotope substitution is obtained. The stretching dependence for each of the modes allows uniquely classifying them as longitudinal or transversal modes. The interpretation of the experiment in terms of a Pt-H2-Pt bridge is verified by density-functional theory calculations for the stability, vibrational modes, and conductance of the structure.