The heterogeneous condensation of a vapour onto a substrate is a key step in a wide range of chemical and physical process that occur in both nature and technology. For example, dust and pollutant aerosol particles, ranging in size from several microns down to just a few nanometers, serve as cloud condensation nuclei in the atmosphere, and nanoscale structured surfaces provide templates for the controlled nucleation and growth of variety of complex materials. While much is known about the general features of heterogeneous nucleation onto macroscopic surfaces, much less is understood about both the dynamics and thermodynamics of nucleation involving nanoscale heterogeneities. The goal of this thesis is to understand the general features of condensation of vapours onto different types of nanoscale heterogeneity that range in degree of solubility from being insoluble, to partially miscible through to completely miscible. The heterogeneous condensation of the Lennard-Jones vapour onto an insoluble nanoscale seed particle is studied using a combination of molecular dynamics simulations and thermodynamic theory. The nucleation rate and free energy barrier are calculated from molecular dynamics using the mean first passage time method. These results show that the presence of a weakly interacting seed has no effect on the formation of small cluster embryos but accelerates the rate by lowering the free energy barrier of the larger clusters. A simple phenomenological model of film formation on a small seed is developed by extending the capillarity based liquid drop model. It captures the general features of heterogeneous nucleation, but a comparison with the simulation results show that the model significantly overestimates the height of the nucleation barrier while providing good estimates of the critical film size. A non-volatile liquid drop model that accounts for solution non-ideality is developed to describe the thermodynamics of partially miscible and fully miscible droplets in a solvent vapour. The model shows ideal solution drops dissolve always spontaneously, but partially miscible drops exhibit a free energy surface with two minima, associated with a partially dissolved drop and a fully dissolved drop, separated by a free energy barrier. The solubility transition between the two drops is shown to follow a hysteresis loop as a function of system volume similar to that observed in deliquescence. A simple lattice gas model describing the absorption of mono-layers of vapour onto the particle is also developed. Finally, molecular dynamics simulation of miscible and partially miscible binary Lennard-Jones mixtures are also used to study this system. For all cases studied, condensation onto the drop occurs spontaneously. Sub-monolayers of the solvent phase form when the system volume is large. At smaller system volumes, complete film formation is observed and the dynamics of film growth are dominated by cluster-cluster coalescence. Some degree of mixing into the core of the particle is observed for the miscible mixtures for all volumes. However, mixing of the solvent into the particle core only occurs below an onset volume for the partially miscible case, suggesting the presence of a solubility transition similar to the one described by the thermodynamic model.

Κατά την αναζήτηση στον Παγκόσμιο Ιστό, είναι πιθανό να επιστρέφονται πολλά αποτελέσματα για ερωτήματα που είναι ασαφή και αμφιλεγόμενα. Τα snippets που εξάγονται από τις σελίδες που ανακτήθηκαν, είναι ένας δείκτης της χρησιμότητας της σελίδας ως προς την θεματική πρόθεση του ερωτήματος και μπορούν να χρησιμοποιηθούν για να εστιάσουμε στο αντικείμενο της αναζήτησης. Στην παρούσα εργασία προτείνουμε μια καινοτόμο μέθοδο αυτόματης εξαγωγής snippets ιστοσελίδων που είναι πολύ σχετικά με την πρόθεση του ερωτήματος αλλά και αντιπροσωπευτικά του συνολικού περιεχομένου των σελίδων. Θα δείξουμε ότι η χρήση σημασιολογίας ως βάση της θεματικά προσανατολισμένης ανάκτησης πληροφορίας μας βοηθάει να προτείνουμε στον χρήστη snippets υψηλής ποιότητας. Τα snippets που παράγονται με την μέθοδο που προτείνουμε είναι σημαντικά καλύτερα όσον αφορά την απόδοση της ανάκτησης σε σχέση με αυτά που προκύπτουν από στατιστική επεξεργασία της σελίδας. Επιπλέον, μπορούμε να χρησιμοποιήσουμε τη σημασιολογική εξαγωγή snippets για να αυξήσουμε την απόδοση των παραδοσιακών αλγορίθμων, οι οποίοι βασίζονται στην επικάλυψη λέξεων ή σε στατιστικά βάρη, αφού αυτοί συνήθως παράγουν διαφορετικά αποτελέσματα. Η επιλογή από την πλευρά του χρήστη των πιο σχετικών με το ερώτημά του snippets, μπορεί να χρησιμοποιηθεί στο να βελτιώσουμε τα επιστρεφόμενα αποτελέσματα και να προωθήσουμε τις πιο χρήσιμες προς αυτόν σελίδες. / When searching the web, it is often possible that there are too many results available for ambiguous queries. Text snippets, extracted from the retrieved pages, are an indicator of the pages’ usefulness to the query intention and can be used to focus the scope of search results. In this paper, we propose a novel method for automatically extracting web page snippets that are highly relevant to the query intention and expressive of the pages’ entire content. We show that the usage of semantics, as a basis for focused retrieval, produces high quality text snippet suggestions. The snippets delivered by our method are significantly better in terms of retrieval performance compared to those derived using the pages’ statistical content. Furthermore, our study suggests that semantically-driven snippet generation can also be used to augment traditional passage retrieval algorithms based on word overlap or statistical weights, since they typically differ in coverage and produce different results. User clicks on the query relevant snippets can be used to refine the query results and promote the most comprehensive among the relevant documents.

We consider the motion of a Brownian particle trapped in an arbitrary bounded two or three-dimensional domain, whose boundary is reflecting except for a small absorbing window through which the particle can escape. We use the method of matched asymptotic expansions to calculate the mean first passage time, defined as the time taken for the Brownian particle to escape from the domain through the absorbing window. This is known as the narrow escape problem. Since the mean escape time diverges as the window shrinks, the calculation is a singular perturbation problem. We extend our results to include N absorbing windows of varying length in two dimensions and varying radius in three dimensions. We present findings in two dimensions for the unit disk, unit square and ellipse and in three dimensions for the unit sphere. The narrow escape problem has various applications in many fields including finance, biology, and statistical mechanics.

Ce mémoire porte sur la densité du premier temps de passage d'un processus gaussien et markovien à travers une frontière. Ce problème est résolu pour quelques cas particuliers, mais il n'est pas encore possible pour l'instant de le résoudre de façon analytique pour une frontière déterministe quelconque. (Di Nardo et al., 2001) ont proposé une méthode qui utilise des fonctions symétriques pour un ensemble de frontières qui généralisent celles de (Daniels, 1996). C'est ce qui est principalement étudié ici. De plus, deux exemples d'applications en finance sont considérés. Finalement, on regarde aussi un exemple de simulations pour comparer cette méthode à celle de (Durbin et Williams, 1992). ______________________________________________________________________________ MOTS-CLÉS DE L’AUTEUR : Processus gaussien et markovien, mouvement brownien, processus d'Ornstein-Uhlenbeck, premier temps de passage.

Communication security is a very important part of modern life. A crucial aspect of security is the ability to identify with near 100% certainty who is on the other side of a connection. This problem can be overcome through the use of random number generators, which create unique identities for each person in a network. The effectiveness of an identity is directly proportional to how random a generator is. The speed at which a random number can be delivered is a critical factor in the design of a random number generator. This thesis covers the design and fabrication of three ring oscillator based truly random number generators, the first two of which were fabricated in 0.13µ m CMOS technology. The randomness from this type of random number generator originates from phase noise in a ring oscillator. The second and third ring oscillators were designed to have a low slew rate at the inverter switching threshold. The outputs of these designs showed vast increases in timing jitter compared to the first design. The third design exhibited improved randomness with respect to the second design.

River restoration is believed to have the greatest chance of success when action is considered in the broader context of the riverscape. However, methods are lacking to fully integrate systemic connectivity into decision-making. Optimisation, a method of prioritisation, is capable of accounting for longitudinal connectivity, spatial interdependence, and cumulative effects of anthropogenic barriers such as dams and culverts. In addition, optimisation can help ensure that limited restoration funds are efficiently allocated. Despite these advantages, it remains under-employed. I present optimisation models for maximising connectivity within a river network (i.e., undirected connectivity) and connectivity between the network and its outflow (i.e., directed connectivity) and demonstrate their application on three river networks in Nova Scotia, Canada. Non-additive cumulative effects of barriers and key budget thresholds that yielded better returns on investment were observed. The methods and models address current challenges in implementation of the optimisation approach to systematic river restoration planning. / Master's Thesis

Throughout the world, particularly in countries such as Canada, water crossings are a significant part of the infrastructure system. Since corrugated metal pipe culverts are an inexpensive choice, as well as hydraulically efficient, they are a very appealing option to designers. To ensure that the natural ecosystem is not adversely affected, culverts must be designed so that throughout the year fish can migrate upstream. Current design regulations are based on the average velocity within the culvert and the prolonged swimming speed of the fish species present. In order to examine the validity of this approach, a physical modeling study was undertaken using a circular CMP culvert. It was found that there is significant cross sectional area below average velocity, and that gravel embedment further increases this area. In addition, a technique was developed that produced very agreeable streamwise velocity predictions over a two dimensional cross section in the developed region.

Throughout the world, particularly in countries such as Canada, water crossings are a significant part of the infrastructure system. Since corrugated metal pipe culverts are an inexpensive choice, as well as hydraulically efficient, they are a very appealing option to designers. To ensure that the natural ecosystem is not adversely affected, culverts must be designed so that throughout the year fish can migrate upstream. Current design regulations are based on the average velocity within the culvert and the prolonged swimming speed of the fish species present. In order to examine the validity of this approach, a physical modeling study was undertaken using a circular CMP culvert. It was found that there is significant cross sectional area below average velocity, and that gravel embedment further increases this area. In addition, a technique was developed that produced very agreeable streamwise velocity predictions over a two dimensional cross section in the developed region.

Cette thèse a pour but d’analyser l’émergence et l’évolution de différents discours portant sur la sécurité et la souveraineté arctiques au Canada, pendant la décennie 2000-2010. Notre regard portera plus précisément sur le discours du Grand Nord assiégé. Une de nos questions de recherche fut de comprendre comment des évaluations optimistes et pessimistes du portrait sécuritaire arctique au Canada se sont traduites dans les discours sécuritaires arctiques tenus par différents acteurs politiques canadiens au cours de la décennie 2000-2010. De plus, une deuxième question de recherche se demandera si des groupes de la société civile canadienne ont été à même de formuler des idées sécuritaires alternatives à celles défendues par le gouvernement canadien. Pour ce faire, nous réaliserons une analyse de contenu qualitative de trois différents acteurs politiques canadiens : le gouvernement fédéral, les médias, plus particulièrement les textes d’opinion dans les quotidiens canadiens, et les groupes inuits. Une attention particulière sera portée à trois crises de souveraineté ayant éclaté durant cette période : la crise de l’île de Hans (été 2005), celle du sous-américain USS Charlotte (hiver 2005-2006) et la crise du drapeau russe sous le pôle nord (été 2007). Nos conclusions nous indiquent que le discours pessimiste a été exprimé en tout premier lieu dans les médias canadiens avant d’être inséré dans la rhétorique gouvernementale en 2005. De plus, les menaces étatiques vont davantage mobiliser les différents acteurs politiques canadiens étudiés que les menaces non-étatiques. La menace russe en particulier a été utilisée pour justifier des mesures additionnelles de défense de la souveraineté canadienne en Arctique. Sur notre deuxième question de recherche, nous pouvons observer que la société civile canadienne a été capable d’exprimer des idées sécuritaires alternatives. Par contre, les idées dominantes du continentalisme et du nationalisme ont guidé la politique étrangère canadienne pendant une bonne partie de la décennie, l’internationalisme libéral étant marginalisé par la prédominance de celles-ci. De plus, les groupes inuits ont été les plus à même de formuler des conceptualisations alternatives de la sécurité et de la souveraineté arctiques au Canada.

We consider the motion of a Brownian particle trapped in an arbitrary bounded two or three-dimensional domain, whose boundary is reflecting except for a small absorbing window through which the particle can escape. We use the method of matched asymptotic expansions to calculate the mean first passage time, defined as the time taken for the Brownian particle to escape from the domain through the absorbing window. This is known as the narrow escape problem. Since the mean escape time diverges as the window shrinks, the calculation is a singular perturbation problem. We extend our results to include N absorbing windows of varying length in two dimensions and varying radius in three dimensions. We present findings in two dimensions for the unit disk, unit square and ellipse and in three dimensions for the unit sphere. The narrow escape problem has various applications in many fields including finance, biology, and statistical mechanics.