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Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 160-164).

Optical techniques were used to study the critical behaviour of the pure fluids CHF₃, CCIF₃ and Xe, and binary mixtures He-Xe and nicotine + water. We find that for all these substances, the order parameter is described by a power law in the reduced temperature t = (Tc - T)/Tc with a leading exponent β = 0.327 ± 0.002. Also, we determine the first correction to scaling exponent to be Δ = 0.43 ± 0.02 for the pure fluids and Δ = 0.50 ± 0.02 for the He-Xe system. The coexistence curve diameter in CHF₃ and CCIF₃ exhibits a deviation from rectilinear diameter, in agreement with a modern theory which interprets this behaviour as resulting from three-body effects. In contrast, no such deviation is observed in Xe where, according to that theory, it should be more pronounced than in other substances. In the polar fluid CHF₃, the order parameter, isothermal compressibility and the chemical potential along the critical isotherm were simultaneously measured in the same experiment in an effort to ensure self-consistency of the results. From the data, two amplitude ratios which are predicted to be universal are determined: Γ+⃘ /Γ-⃘= 4.8 ± 0.6 and D⃘Γ+⃘B⃘δ-₁ = 1.66 ± 0.14. In the binary liquid system nicotine + water, the diffusivity was measured both by light scattering and by interferometry. The results agree qualitatively, but differ by a factor of ≈ 2. From the light scattering data, the critical exponent of the viscosity is found to be zη = 0.044 ± 0.008. The interferometric experiments on Xe and He-Xe furnish a direct way to maesure the effects of wetting: From the data, the exponent of the surface tension is found to be n = 1.24 ± 0.06. The similarity of the order parameter and compressibility in Xe and a He-Xe mixture containing 5% He indicate that the phase transition in this He-Xe mixture is of the liquid-gas type rather than the binary liquid type. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

Nesta dissertação, realizamos um estudo sobre cadeias unidimensionais quânticas de spin meio e spin um exatamente integráveis. Estudamos as propriedades do espectro de energia e efeitos produzidos no mesmo devido à finitude da cadeia. Para tal fim, exploramos as propriedades advindas da invariância por transformações conforme dos modelos em seus respectivos pontos críticos. Como apreciação dessa abordagem, estudamos o modelo exatamente integrável NDF, proposto por Alcaraz e Bariev, para partículas de spin 1. Verificamos em tal modelo uma transição de fase quântica. / In this dissertation, we have studied exactly integrable unidimensional quantum spin chains of spin 1/2 and spin 1. Special atention was given to the properties of the energy eigenspectra of these chains and particularly to their finite size effects. To achieve this goal, we have explored the invariance by conformal transformations of the models in their critical points. As an appreciation of these studies, we have studied the exactly integrable model NDF of spin 1, proposed by Alcaraz e Bariev. We verified that such model possess a quantum phase transition.

Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Physics. / M̲i̲c̲ṟo̲f̲i̲c̲ẖe̲ c̲o̲p̲y̲ a̲v̲a̲i̲ḻa̲ḇḻe̲ i̲ṉ A̲ṟc̲ẖi̲v̲e̲s̲ a̲ṉḏ S̲c̲i̲e̲ṉc̲e̲. / Vita. / Bibliography : leaf 134. / Ph.D.

Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1982. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE / Bibliography: leaves 63-64. / by Karen Marie Klincewicz. / M.S.

Thesis (Sc.D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1981. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE. / Vita. / Bibliography: leaves 523-531. / by Glenn Thomas Hong. / Sc.D.

Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1981. / MICROFICHE COPY AVAILABLE IN SCIENCE AND ARCHIVES. Science copy in 2 v. / Vita. / Bibliography: leaves 320-331. / by Ronald Ted Kurnik. / Sc.D.

Estudamos vários modelos de polímeros (Caminhadas auto- e mutuamente excludentes sobre redes) que apresentam pontos tricríticos em seus diagramas de fases. Concentramos a nossa atenção nos problemas de polímeros com interações atrativas, nos quais o ponto tricrítico é conhecido como ponto H na literatura, e de polímeros na presença de diluição recozida. Analisamos o comportamento termodinâmico desses modelos na rede de Bethe e em gaxetas de Sierpinski bi- e tridimensionais, bem como na rede quadrada. Nas redes de Bethe e fractais foi possível obter soluções exatas. Já na rede quadrada empregamos métodos baseados na teoria de escala para sistemas finitos através do cálculo da matriz de transferência. Enfatizamos o estudo dos pontos tricríticos, dando particular atenção ao cálculo de seus expoentes nas redes fractais e quadrada. Na rede de Bethe, onde os expoentes são clássicos, foi possível estudar em detalhe o diagrama de fases do modelo com diluição e interações atrativas. / We study several polymer models (self- and mutually avoiding walks on lattices) which display tricritical points in their phase diagrams. We concentrated our attention on the problems of polymers with attrative interactions, where the tricritical point is known as H point in the literature, and of polymers in the presence of annealed dilution. We considered the thermodynamic behavior of these models on the Bethe lattice, on the two- and three-dimentional Sierpinski gaskets, and on the square lattice. On the Bethe and the Sierpinski gaskets an exact solution could be obtained. On the square lattice we used finite size scaling methods together with transfer matrix calculations. We stressed the study of the tricritical points, paying particular attention to the calculation of their exponents on the fractal and the square lattice. On the Bethe lattice, where the exponents are classical, it was possible to study in detail the phase diagram of the model with dilution and attractive interactions.

xiii, 110 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. / This dissertation investigates the interplay between, and the possible coexistence of, magnetic and superconducting order in metals. We start with studying the electromagnetic properties of s-wave superconductors near a ferromagnetic instability. By using a generalized Ginzburg-Landau theory and scaling arguments, we show that competition between magnetic order and superconducting order can change the scaling of observables. For instance, the exponent for the temperature dependence of the critical current can deviate from the Ginzburg-Landau value of 3/2. These results may be relevant to understanding the observed behavior of MgCNi 3 . We then study the nature of the superconductor-to-normal-metal transition in p-wave superconductors. Although the phase transition is continuous at a mean- field level, a more careful renormalization-group analysis in conjunction with large-n expansion techniques strongly suggest that the transition is first order. This conclusion is the same as for s-wave superconductors, where these techniques also predict a first-order transition. In p-wave superconductors, topological excitations known as skyrmions are known to exist in addition to the more common vortices. In the third part of this dissertation, we study the properties of skyrmion lattices in an external magnetic field. We propose iv experiments to distinguish vortex lattices from skyrmion lattices by means of their melting curves and their μSR signatures. / Adviser: Dietrich Belitz