Diagnosing criticality in symmetric and chiral clock models

Quantum clock models are statistical mechanical spin models which may be regarded as a sort of bridge between the one-dimensional quantum Ising model and the one-dimensional quantum XY model. This thesis aims to provide an exhaustive review of these models using both analytical and numerical techniques. We present some important duality transformations which allow us to recast clock models into different forms, involving for example parafermions and lattice gauge theories. Thus, the notion of topological order enters into the game opening new scenarios for possible applications, like topological quantum computing. The second part of this thesis is devoted to the numerical analysis of clock models. We explore their phase diagram under different setups, with and without chirality, starting with a transverse field and then adding a longitudinal field as well. The most important observables we take into account for diagnosing criticality are the energy gap, the magnetisation, the entanglement entropy and the correlation functions.

Analisi dei guasti di impianti di vaporizzazione di azoto ed aria compressa

Nel corso degli ultimi decenni, ha assunto importanza crescente il tema della sicurezza e dell’affidabilità degli impianti dell’industria di processo. Tramite l’analisi di affidabilità è possibile individuare i componenti critici di un impianto più a rischio. Nel presente lavoro di tesi è stata eseguita l’analisi di affidabilità di tre impianti dello stabilimento SOL di Mantova: l’impianto di vaporizzazione azoto a bassa pressione, l’impianto di vaporizzazione azoto a media pressione e l’impianto di produzione di aria sintetica. A partire dai diagrammi P&ID degli impianti si è effettuata l’analisi delle possibili modalità di guasto degli impianti stessi tramite la tecnica FMECA, acronimo di Failure Modes & Effects Criticality Analisys. Una volta definite le modalità di guasto degli impianti, si è proceduto a quantificarne l’affidabilità utilizzando la tecnica FTA, acronimo di Fault Tree Analisys. I risultati ottenuti dall’analisi degli alberi dei guasti, hanno permesso di individuare gli eventi primari che maggiormente contribuiscono al fallimento dei sistemi studiati, consentendo di formulare ipotesi per l’incremento di affidabilità degli impianti.

Fluctuation properties in random walks on networks and simple integrate and fire models

In questa tesi si è studiato l’insorgere di eventi critici in un semplice modello neurale del tipo Integrate and Fire, basato su processi dinamici stocastici markoviani definiti su una rete. Il segnale neurale elettrico è stato modellato da un flusso di particelle. Si è concentrata l’attenzione sulla fase transiente del sistema, cercando di identificare fenomeni simili alla sincronizzazione neurale, la quale può essere considerata un evento critico. Sono state studiate reti particolarmente semplici, trovando che il modello proposto ha la capacità di produrre effetti "a cascata" nell’attività neurale, dovuti a Self Organized Criticality (auto organizzazione del sistema in stati instabili); questi effetti non vengono invece osservati in Random Walks sulle stesse reti. Si è visto che un piccolo stimolo random è capace di generare nell’attività della rete delle fluttuazioni notevoli, in particolar modo se il sistema si trova in una fase al limite dell’equilibrio. I picchi di attività così rilevati sono stati interpretati come valanghe di segnale neurale, fenomeno riconducibile alla sincronizzazione.

Analysis, modelling and design of a groin as coastal protection structure at Lido di Dante, Ravenna

An analysis and a subsequent solution is here presented. This document is about a groin design able to contrast the erosion actions given by waves in Lido di Dante. Advantages will be visible also for Fiumi Uniti's inlet, in the north side of the shoreline. Beach future progression and growth will be subjected to monitoring actions in the years after groin construction. The resulting effects of the design will have a positive impact not only on the local fauna and environment, but also, a naturalistic appeal will increase making new type of tourists coming not only for recreational purposes. The design phase is focused on possible design alternatives and their features. Particular interest is given to scouring phenomena all around the groin after its construction. Groin effects will impact not only on its south side, instead they will cause an intense erosion process on the downdrift front. Here, many fishing hut would be in danger, thus a beach revetment structure is needed to avoid any future criticality. In addiction, a numerical model based on a generalized shoreline change numerical model, also known as GENESIS, has been applied to the study area in order to perform a simplistic analysis of the shoreline and its future morphology. Critical zones are visible in proximity of the Fiumi Uniti's river inlet, where currents from the sea and the river itself start the erosion process that is affecting Lido di Dante since mid '80s, or even before. The model is affected by several assumptions that make results not to be interpreted as a real future trend of the shore. Instead the model allows the user to have a more clear view about critical processes induced by monochromatic inputed waves. In conclusion, the thesis introduce a wide analysis on a complex erosion process that is affecting many shoreline nowadays. A groin design is seen as a hard solution it is considered to be the only means able to decrease the rate of erosion.

Materiali ceramici a struttura Aurivillius per la produzione di solar fuels

Solar fuels from CO2 is a topic of current large scientific and industrial interest. In particular, photo-electrochemical cells (PECs) represent today one of the most promising technology for storing sun energy as chemical bonds exploiting carbon dioxide as starting reagent. In this thesis, the possibility of using Aurivillius-type compounds for the production of solar fuels was deeply investigated. Aurivillius-type perovskites, with general formula Bi(n+1)Fe(n-3)Ti3O(3n+3), were synthesized and fully characterized to study the influence of the number of perovskite layers as well as of the synthesis parameters onto their final properties. In particular, 8 different systems were considered increasing the amount of iron and, as a consequence, the number of perovskite layers. These compounds were synthesized through a standard solid-state reaction method as well as via a sol-gel technique and characterized by XRD, SEM and BET analyses. The band gap value and the photocatalytic activity towards Rhodamine B decomposition were assessed as well. For each system, a screen-printing ink was formulated to be deposited as photo-electrodes onto transparent conducting supports. The photo-electrodes were morphologically characterized by XRD and SEM analysis, and their electrochemical properties (cyclic and linear voltammetry, EIS, Mott-Schottky analysis) were determined. Finally, the most promising materials were tested as photo-cathode inside PEC cell under different illumination conditions, to quantify their ability to convert CO2. The obtained results show the potentiality of Aurivillius-type compounds as innovative material for carbon dioxide photo-electrochemical reduction.

Sintesi e caratterizzazione di CaCu3Ti4O12 (CCTO) per applicazioni in fotoelettrocatalisi

A promising strategy to mitigate both the energy crisis and global warming is the development of solar fuels and chemicals using as feedstock CO2 in combination with simple molecules such as water. This process stores the solar energy into chemical bonds, leading to a carbon-neutral approach of fuels and chemicals production. Aim of this thesis was the synthesis and characterization of CaCu3Ti4O12 (CCTO)- based compounds to be used as visible light photocatalyst for CO2 to chemical conversion. Different compositions were produced doping CCTO with increasing concentration of iron into the perovskite’s A site in order to identify the materials with the highest photo- and photoelectrocatalytic properties. The most promising compositions were used to produce photoelectrodes by screen printing that were characterized by linear and cyclic voltammetry, impedance spectroscopy and Mott-Schottky analysis to evaluate the electrical conductivity and calculate the flat band potential and the number of charge carriers in the samples. The photoelectrodes were then tested in a photoelectrochemical (PEC) cell for the conversion of CO2 into fuel and chemicals. The results obtained confirm that CCTO-based materials can be considered promising materials for carbon dioxide photo-electrochemical reduction.

Small polarons in spin-orbit coupled osmates

Small polarons (SP) have been thoroughly investigated in 3d transition metal oxides and they have been found to play a crucial role in physical phenomena such as charge transport, colossal magnetoresistance and surface reactivity. However, our knowledge about these quasi-particles in 5d systems remains very limited, since the more delocalised nature of the 5d orbitals reduces the strength of the Electronic Correlation (EC), making SP formation in these compounds rather unexpected. Nevertheless, the Spin-Orbit coupled Dirac-Mott insulator Ba2NaOsO6 (BNOO) represents a good candidate for enabling polaron formation in a relativistic background, due to the relatively large EC (U ∼ 3 eV) and Jahn-Teller activity. Moreover, anomalous peaks in Nuclear Magnetic Resonance (NMR) spectroscopy experiments suggest the presence of thermally activated SP dynamics when BNOO is doped with Ca atoms. We investigate SP formation in BNOO both from an electronic and structural point of view by means of fully relativistic first principles calculations. Our numerical simulations predict a stable SP ground state and agree on the value of 810 K for the dynamical process peak found by NMR experiments.

Design and Performance Analysis of the Electrical Power System of a Petrochemical Facility

This thesis deals with the sizing and analysis of the electrical power system of a petrochemical plant. The activity was carried out in the framework of an electrical engineering internship. The sizing and electrical calculations, as well as the study of the dynamic behavior of network quantities, are accomplished by using the ETAP (Electrical Transient Analyzer Program) software. After determining the type and size of the loads, the calculation of power flows is carried out for all possible network layout and different power supply configurations. The network is normally operated in a double radial configuration. However, the sizing must be carried out taking into account the most critical configuration, i.e., the temporary one of single radial operation, and also considering the most unfavorable power supply conditions. The calculation of shortcircuit currents is then carried out and the appropriate circuit breakers are selected. Where necessary, capacitor banks are sized in order to keep power factor at the point of common coupling within the preset limits. The grounding system is sized by using the finite element method. For loads with the highest level of criticality, UPS are sized in order to ensure their operation even in the absence of the main power supply. The main faults that can occur in the plant are examined, determining the intervention times of the protections to ensure that, in case of failure on one component, the others can still properly operate. The report concludes with the dynamic and stability analysis of the power system during island operation, in order to ensure that the two gas turbines are able to support the load even during transient conditions.