Thesis (Ph. D.)--University of Wisconsin--Madison, 1981. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

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Detecting the existence of a consistent global state that satisfies a predicate in a distributed environment is a processing intensive task since all the consistent global states must be checked to verify that none of them satisfies the predicate. Three different serial implementations have been provided for a breath-first, depth-first, and lexical traversal of the lattice generated by enumerating the possible consistent global states has been provided by Alagar and Venkatesan, Cooper and Marzullo, and Garg. This paper modifies those implementations to perform the checks in a distributed environment, providing the final algorithms, source code, and preliminary results for comparisons with the original algorithms. / text

The aim of this thesis is to provide tools in order to simplify and extend the analysis of stock-flow consistent macroeconomic models. For models in continuous time, we will focus on stability and steady state solutions, considering constant exogenous parameters. For models in discrete time, we will derive systems with considerable reduction in complexity and size from rather big linear systems of equations set up by previous authors into much simpler systems of difference equations. These can then also be analyzed from a continuous perspective, if their limits are taken. We will also see how an alternative continuous layout of the models proposed by us, further reduces the number of dimensions with respect to their counterparts in discrete time, in some cases. / Thesis / Master of Science (MSc)

No description available.

The self-consistent field theory (SCFT) has reveived a great success in prediction of the physical properties of a variety of polymeric systems in the recent two decades. However, the traditional SCFT is based on the Gaussian chain model, completely neglecting the chain rigidity effects, which is ascribed to one of the intrinsic properties of polymer chains. This thesis concentrates on the development of SCFT in the framework of the wormlike chain model and studies the influence of the chain rigidity on the chain configuration which directly determines properties of polymer materials in the mesoscale. Firstly, considering Onsager-type, orientational-dependent repulsive interactions, we study a model for the isotropic-nematic interface in liquid-crystals. Through adjusting the ratio of total contour length L to the persistence length lambda, we consider systems consisting of molecules with various degrees of flexibility: from rods to flexible chains. Physical properties such as the surface tension, interfacial width and density- and order-parameter profiles were numerically calculated as functions of the flexibility L/lambda and tilt angle, which is defined as the angle between the interfacial normal and the nematic director. Secondly, We examine the influence of persistency on the phase diagram of AB diblock copolymers and the properties of the phase transition as a function of volume fraction, Flory-Huggins parameter and chain rigidity, covering a broad regime spanning from Gaussian chains to rigid rodlike chains. On one hand, we demonstrate that results from a Gaussian-weight based theory can be recovered in the long-chain limit, and on the other hand, we display that significant revisions to the phase diagram, due to the persistency effects, exist for shorter chains. To achieve this, an efficient numerical scheme is designed for implementing the calculations of the wormlike-chain SCFT in a full six-dimensional space.

The self-consistent field theory (SCFT) has reveived a great success in prediction of the physical properties of a variety of polymeric systems in the recent two decades. However, the traditional SCFT is based on the Gaussian chain model, completely neglecting the chain rigidity effects, which is ascribed to one of the intrinsic properties of polymer chains. This thesis concentrates on the development of SCFT in the framework of the wormlike chain model and studies the influence of the chain rigidity on the chain configuration which directly determines properties of polymer materials in the mesoscale. Firstly, considering Onsager-type, orientational-dependent repulsive interactions, we study a model for the isotropic-nematic interface in liquid-crystals. Through adjusting the ratio of total contour length L to the persistence length lambda, we consider systems consisting of molecules with various degrees of flexibility: from rods to flexible chains. Physical properties such as the surface tension, interfacial width and density- and order-parameter profiles were numerically calculated as functions of the flexibility L/lambda and tilt angle, which is defined as the angle between the interfacial normal and the nematic director. Secondly, We examine the influence of persistency on the phase diagram of AB diblock copolymers and the properties of the phase transition as a function of volume fraction, Flory-Huggins parameter and chain rigidity, covering a broad regime spanning from Gaussian chains to rigid rodlike chains. On one hand, we demonstrate that results from a Gaussian-weight based theory can be recovered in the long-chain limit, and on the other hand, we display that significant revisions to the phase diagram, due to the persistency effects, exist for shorter chains. To achieve this, an efficient numerical scheme is designed for implementing the calculations of the wormlike-chain SCFT in a full six-dimensional space.

Since the development of the correlation consistent composite approach (ccCA) in 2006, ccCA has been shown to be applicable across the periodic table, producing, on average, energetic properties (e.g., ionization potentials, electron affinities, enthalpies of formation, bond dissociation energies) within 1 kcal/mol for main group compounds. This dissertation utilizes ccCA in the investigation of several chemical systems including nitrogen-containing compounds, sulfur-containing compounds, and carbon dioxide complexes. The prediction and calculation of energetic properties (e.g., enthalpies of formation and interaction energies) of the chemical systems investigated within this dissertation has led to suggestions of novel insensitive highly energetic nitrogen-containing compounds, defined reaction mechanisms for sulfur compounds allowing for increased accuracy compared to experimental enthalpies of formation, and a quantitative structure activity relationship for altering the affinity of CO2 with substituted amine compounds. Additionally, a study is presented on the convergence of correlation energy and optimal domain criteria for local Møller–Plesset theory (LMP2).

Decisions such as saving, investing, policymaking, have consequences in multiple time periods and are called intertemporal. These choices require decision-makers to trade-off costs and benefits at different points in time. Time preference is the preference for immediate gratification or utility over delayed gratification. The discount rate is a tool used to measure this psychological phenomenon. This thesis considers the problem of an individual maximizing his utility from consumption and final wealth when his discount rate is not constant. The question we answer is the following: if we allow the individual to update his decisions, will he stick to his original strategy or will he switch? We show that there are cases in which the individual's strategy keeps changing thus his behaviour becomes time inconsistent. In Chapter 1, we introduce two notions to solve this inconsistency problem: The agent can pre commit i.e. he does not change his original optimal strategy. The agent can also plan for his future changes of strategy and adopt time consistent strategies also known as subgame perfect strategies. We also review the existing literature on time discounting and time consistency. Chapter 2 considers the time consistency in the expected utility maximization problem. The risk preference is of the Constant Relative Risk Aversion (CRRA) type, the time preference is specified by a non constant discount rate and we allow the volatility of the stock price to be stochastic. We show that the determination of one quantity: the utility weighted discount rate completely characterizes the individual's subgame perfect strategies. Chapter 3 is about equilibrium pricing in a model populated by several economic agents in a complete financial market. These agents are investing, saving and consuming and want to maximize their expected utility of consumption and final wealth. We allow the economic agents to differ in their risk preferences, beliefs about the future of the economy and in their time preferences (non constant discount rates). Since the optimal strategies are time inconsistent, the equilibrium is computed by using the time 0 optimal ( precommitment) strategies for the market clearing conditions. Chapter 4 considers the same model as chapter 2. We solve the equilibrium problem when time consistent strategies are used for the market clearing conditions. We limit the study to two economic agents. The subgame perfect equilibrium is compared to the optimal equilibrium of Chapter 3. / Thesis / Doctor of Philosophy (PhD)

Density functional theory has been used in combination with the correlation consistent and polarization consistent basis sets to investigate the structures and energetics for a series of first-row closed shell and several second-row molecules of potential importance in atmospheric chemistry. The impact of basis set choice upon molecular description has been examined, and irregular convergence of molecular properties with respect to increasing basis set size for several functionals and molecules has been observed. The possible reasons and solutions for this unexpected behavior including the effect of contraction and uncontraction, of the basis set diffuse sp basis functions, basis set superposition error (BSSE) and core-valence sets also have been examined.