Electrothermal characterization and nonlinear modelling of GaN transistors for telecommunication circuit design

This thesis starts showing the main characteristics and application fields of the AlGaN/GaN HEMT technology, focusing on reliability aspects essentially due to the presence of low frequency dispersive phenomena which limit in several ways the microwave performance of this kind of devices. Based on an equivalent voltage approach, a new low frequency device model is presented where the dynamic nonlinearity of the trapping effect is taken into account for the first time allowing considerable improvements in the prediction of very important quantities for the design of power amplifier such as power added efficiency, dissipated power and internal device temperature. An innovative and low-cost measurement setup for the characterization of the device under low-frequency large-amplitude sinusoidal excitation is also presented. This setup allows the identification of the new low frequency model through suitable procedures explained in detail. In this thesis a new non-invasive empirical method for compact electrothermal modeling and thermal resistance extraction is also described. The new contribution of the proposed approach concerns the non linear dependence of the channel temperature on the dissipated power. This is very important for GaN devices since they are capable of operating at relatively high temperatures with high power densities and the dependence of the thermal resistance on the temperature is quite relevant. Finally a novel method for the device thermal simulation is investigated: based on the analytical solution of the tree-dimensional heat equation, a Visual Basic program has been developed to estimate, in real time, the temperature distribution on the hottest surface of planar multilayer structures. The developed solver is particularly useful for peak temperature estimation at the design stage when critical decisions about circuit design and packaging have to be made. It facilitates the layout optimization and reliability improvement, allowing the correct choice of the device geometry and configuration to achieve the best possible thermal performance.

On the Wick product and Wong-Zakai approximations.

This thesis is a compilation of 6 papers that the author has written together with Alberto Lanconelli (chapters 3, 5 and 8) and Hyun-Jung Kim (ch 7). The logic thread that link all these chapters together is the interest to analyze and approximate the solutions of certain stochastic differential equations using the so called Wick product as the basic tool. In the first chapter we present arguably the most important achievement of this thesis; namely the generalization to multiple dimensions of a Wick-Wong-Zakai approximation theorem proposed by Hu and Oksendal. By exploiting the relationship between the Wick product and the Malliavin derivative we propose an original reduction method which allows us to approximate semi-linear systems of stochastic differential equations of the Itô type. Furthermore in chapter 4 we present a non-trivial extension of the aforementioned results to the case in which the system of stochastic differential equations are driven by a multi-dimensional fraction Brownian motion with Hurst parameter bigger than 1/2. In chapter 5 we employ our approach and present a “short time” approximation for the solution of the Zakai equation from non-linear filtering theory and provide an estimation of the speed of convergence. In chapters 6 and 7 we study some properties of the unique mild solution for the Stochastic Heat Equation driven by spatial white noise of the Wick-Skorohod type. In particular by means of our reduction method we obtain an alternative derivation of the Feynman-Kac representation for the solution, we find its optimal Hölder regularity in time and space and present a Feynman-Kac-type closed form for its spatial derivative. Chapter 8 treats a somewhat different topic; in particular we investigate some probabilistic aspects of the unique global strong solution of a two dimensional system of semi-linear stochastic differential equations describing a predator-prey model perturbed by Gaussian noise.

Analisi del circuito di regolazione responsabile del controllo trascrizionale dei geni Heat-Shock in Helicobacter pylori

Helicobacter pylori, un patogeno umano in grado di colonizzare la nicchia gastrica, è associato a patologie del tratto gastrointestinale di varia gravità. Per sopravvivere nell’ambiente ostile dello stomaco dell’ospite, e mettere in atto un’infezione persistente, il batterio si serve di una serie di fattori di virulenza che includono anche le proteine Heat Shock (chaperone). I principali geni codificanti le proteine chaperone in H. pylori sono organizzati in tre operoni trascritti dall’RNA polimerasi contenente il fattore sigma vegetativo σ80. La trascrizione di due dei tre operoni è regolata negativamente da due regolatori trascrizionali, HspR e HrcA, mentre il terzo operone è represso solo da HspR. Fino ad ora, studi molecolari per la comprensione del ruolo di ciascuna proteina nel controllo trascrizionale dei geni heat shock sono stati ostacolati dalla citotossicità ed insolubilità di HrcA quando espressa in sistemi eterologhi. In questo lavoro, è stata analizzata la sequenza amminoacidica di HrcA ed è stata confermata sperimentalmente la predizione bioinformatica della sua associazione con la membrana interna. La citotossicità e l’insolubilità di HrcA in E. coli sono state alleviate inducendone l’espressione a 42°C. Saggi in vitro con le proteine ricombinanti purificate, HspR e HrcA, hanno consentito di definire i siti di legame dei due repressori sui promotori degli operoni heat shock. Ulteriori saggi in vitro hanno suggerito che l’affinità di HrcA per gli operatori è aumentata dalla chaperonina GroESL. Questi dati contribuiscono parzialmente alla comprensione del meccanismo di repressione della trascrizione espletato da HrcA e HspR e permettono di ipotizzare il coinvolgimento di altri regolatori trascrizionali. L’analisi di RNA estratti dal ceppo selvatico e dai mutanti hrcA, hspR e hrcA/hspR di H.pylori su DNAmacroarrays non ha evidenziato il coinvolgimento di altri regolatori trascrizionali, ma ha permesso l’identificazione di un gruppo di geni indotti da HrcA e/ HspR. Questi geni sono coinvolti nella biosintesi e regolazione dell’apparato flagellare, suggerendo un’interconnessione tra la risposta heat shock e la motilità e chemiotassi del batterio.

Bio-physical interactions and feedbacks in a global climate model

This PhD thesis addresses the topic of large-scale interactions between climate and marine biogeochemistry. To this end, centennial simulations are performed under present and projected future climate conditions with a coupled ocean-atmosphere model containing a complex marine biogeochemistry model. The role of marine biogeochemistry in the climate system is first investigated. Phytoplankton solar radiation absorption in the upper ocean enhances sea surface temperatures and upper ocean stratification. The associated increase in ocean latent heat losses raises atmospheric temperatures and water vapor. Atmospheric circulation is modified at tropical and extratropical latitudes with impacts on precipitation, incoming solar radiation, and ocean circulation which cause upper-ocean heat content to decrease at tropical latitudes and to increase at middle latitudes. Marine biogeochemistry is tightly related to physical climate variability, which may vary in response to internal natural dynamics or to external forcing such as anthropogenic carbon emissions. Wind changes associated with the North Atlantic Oscillation (NAO), the dominant mode of climate variability in the North Atlantic, affect ocean properties by means of momentum, heat, and freshwater fluxes. Changes in upper ocean temperature and mixing impact the spatial structure and seasonality of North Atlantic phytoplankton through light and nutrient limitations. These changes affect the capability of the North Atlantic Ocean of absorbing atmospheric CO2 and of fixing it inside sinking particulate organic matter. Low-frequency NAO phases determine a delayed response of ocean circulation, temperature and salinity, which in turn affects stratification and marine biogeochemistry. In 20th and 21st century simulations natural wind fluctuations in the North Pacific, related to the two dominant modes of atmospheric variability, affect the spatial structure and the magnitude of the phytoplankton spring bloom through changes in upper-ocean temperature and mixing. The impacts of human-induced emissions in the 21st century are generally larger than natural climate fluctuations, with the phytoplankton spring bloom starting one month earlier than in the 20th century and with ~50% lower magnitude. This PhD thesis advances the knowledge of bio-physical interactions within the global climate, highlighting the intrinsic coupling between physical climate and biosphere, and providing a framework on which future studies of Earth System change can be built on.