Phonon spectra and thermodynamic properties of rare gas solids based on empirical and semi-empirical (ab initio) two-body potentials : a comparative study /

We study the phonon dispersion, cohesive and thermal properties of raxe gas solids Ne, Ar, Kr, and Xe, using a variety of potentials obtained from different approaches; such as, fitting to crystal properties, purely ab initio calculations for molecules and dimers or ab initio calculations for solid crystalline phase, a combination of ab initio calculations and fitting to either gas phase data or sohd state properties. We explore whether potentials derived with a certain approaxih have any obvious benefit over the others in reproducing the solid state properties. In particular, we study phonon dispersion, isothermal ajid adiabatic bulk moduli, thermal expansion, and elastic (shear) constants as a function of temperatiue. Anharmonic effects on thermal expansion, specific heat, and bulk moduli have been studied using A^ perturbation theory in the high temperature limit using the neaxest-neighbor central force (nncf) model as developed by Shukla and MacDonald [4]. In our study, we find that potentials based on fitting to the crystal properties have some advantage, particularly for Kr and Xe, in terms of reproducing the thermodynamic properties over an extended range of temperatiures, but agreement with the phonon frequencies with the measured values is not guaranteed. For the lighter element Ne, the LJ potential which is based on fitting to the gas phase data produces best results for the thermodynamic properties; however, the Eggenberger potential for Ne, where the potential is based on combining ab initio quantum chemical calculations and molecular dynamics simulations, produces results that have better agreement with the measured dispersion, and elastic (shear) values. For At, the Morse-type potential, which is based on M0ller-Plesset perturbation theory to fourth order (MP4) ab initio calculations, yields the best results for the thermodynamic properties, elastic (shear) constants, and the phonon dispersion curves.

On the path integral formulation and the evaluation of quantum statistical averages

Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a normal coordinate transformation, We next introduced the method of Papadopolous (1969), which is a systematic perturbation type method specifically geared to finding the partition function Z, or equivalently, the Helmholtz free energy F, of a system of interacting oscillators. We applied this method to the next three problems considered• First, by summing the perturbation expansion, we found F for a system of N interacting Einstein oscillators^ The result obtained is the same as the usual result obtained by Shukla and Muller (1972) • Next, we found F to 0(Xi)f where A is the usual Tan Hove ordering parameter* The results obtained are the same as those of Shukla and Oowley (1971), who have used a diagrammatic procedure, and did the necessary sums in Fourier space* We performed the work in temperature space• Finally, slightly modifying the method of Papadopolous, we found the finite temperature expressions for the Debyecaller factor in Bravais lattices, to 0(AZ) and u(/K/ j,where K is the scattering vector* The high temperature limit of the expressions obtained here, are in complete agreement with the classical results of Maradudin and Flinn (1963) .

Critical Connections: Teachers Writing for Social Justice

This qualitative research study explores how teachers who write social justicefocused curriculum support resources conceptualize curriculum and social justice. Curriculum used in schools reflects underlying assumptions and choices about what knowledge is valuable. Class-based, cultural, racial, and religious stereotypes are reinforced in schooling contexts. Are the resources teachers create, select, and use to promote social justice reproducing and reinforcing forms of oppression? Why do teachers pursue social justice through curriculum writing? What are their hopes for this work? Exploring how Teachers' beliefs and values influence cy.rriculum writing engages the teachers writing and using curriculum support resources in critical reflective thought about their experiences and efforts to promote social justice. Individual and focus group interviews were conducted with four teacher-curriculum writers from Ontario schools. In theorizing my experiences as a teacher-curriculum writer, I reversed roles and participated in individual interviews. I employed a critical feminist lens to analyze the qualitati ve data. The participants' identities influenced how they understand social justice and write curriculum. Their understandings of injustices, either personal or gathered through students, family members, or oth.e. r teachers, influenced their curriculum writing . The teacher-curriculum writers in the study believed all teachers need critical understandings of curriculum and social justice. The participants made a case for representation from historically disadvantaged and underrepresented groups on curriculum writing teams. In an optimistic conclusion, the possibility of a considerate curriculum is proposed as a way to engage the public in working with teachers for social justice.

Automatic Inference of Graph Models for Complex Networks with Genetic Programming

Complex networks can arise naturally and spontaneously from all things that act as a part of a larger system. From the patterns of socialization between people to the way biological systems organize themselves, complex networks are ubiquitous, but are currently poorly understood. A number of algorithms, designed by humans, have been proposed to describe the organizational behaviour of real-world networks. Consequently, breakthroughs in genetics, medicine, epidemiology, neuroscience, telecommunications and the social sciences have recently resulted. The algorithms, called graph models, represent significant human effort. Deriving accurate graph models is non-trivial, time-intensive, challenging and may only yield useful results for very specific phenomena. An automated approach can greatly reduce the human effort required and if effective, provide a valuable tool for understanding the large decentralized systems of interrelated things around us. To the best of the author's knowledge this thesis proposes the first method for the automatic inference of graph models for complex networks with varied properties, with and without community structure. Furthermore, to the best of the author's knowledge it is the first application of genetic programming for the automatic inference of graph models. The system and methodology was tested against benchmark data, and was shown to be capable of reproducing close approximations to well-known algorithms designed by humans. Furthermore, when used to infer a model for real biological data the resulting model was more representative than models currently used in the literature.

Postcolonial entanglements of Power, Race, Class and Privilege in Child and Youth Care Work Within a Brazilian Favela

This research assesses the various aspects of Child and Youth Care (CYC) work and how relationships between child or youth and care provider are limited and constricted within greater political, social and historical contexts. Specifically, this research takes place internationally in Rio de Janeiro, Brazil within a favela (slum) and unveils the entangled and complex relationship that I, not only as an ethnographer, but also as a CYC worker had with the many young people that I encountered. It will address a variety of theories that demonstrate the potentials of reproducing oppressive relationships, and argue that it is imperative for CYC workers to critically reflect on the greater contexts in which their work is situated in order to gain forces with those young people whom they are attempting to serve.