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Applications Of Statistical Mechanics And Nonlinear Science To Ecological Phenomena, Luis Felipe Gonzalez-Palacio Aug 2009

Applications Of Statistical Mechanics And Nonlinear Science To Ecological Phenomena, Luis Felipe Gonzalez-Palacio

Physics & Astronomy ETDs

The application of techniques widely used in physics to explain biological phenomena has become a very successful endeavor in the past few decades. Such techniques include, but are not limited to, kinetic equations and nonlinear dynamics. We present an overview of some current topics of interest in ecology that use such techniques to explain and predict a wide array of phenomena. Several successful models are reviewed. We present the results of our analyses of two datasets of repeated sessions of mark-recaptures of the deer mouse, Peromyscus maniculatus (Rodentia: Muridae), the host and reservoir of Sin Nombre virus (Bunyaviridae: Hantavirus). The …


Studies Of Ultra High Energy Cosmic Rays, John Douglas Hague Aug 2009

Studies Of Ultra High Energy Cosmic Rays, John Douglas Hague

Physics & Astronomy ETDs

In this thesis, analysis tools for understanding the observed spectrum and arrival directions of ultra high energy cosmic rays are developed and applied to both simulated and observed data. Two separate statistical tests are applied to the AGASA and preliminary Auger Cosmic Ray Energy spectra in an attempt to find deviation from a pure power-law. The first test is constructed from the probability distribution for the maximum event of a sample drawn from a power-law. The second employs the TP-statistic, a function defined to deviate from zero when the sample deviates from the power-law form, regardless of the value of …


Statistical Mechanics Of Transport In Disordered Lattices And Reaction-Diffusion Systems, Ziya Kalay Aug 2009

Statistical Mechanics Of Transport In Disordered Lattices And Reaction-Diffusion Systems, Ziya Kalay

Physics & Astronomy ETDs

This thesis is the report of a study of several different problems in statistical physics. The first two are about random walks in a disordered lattice, with applications to a biological system, the third is about reaction-diffusion systems, particularly the phenomena of front propagation and pattern formation, and the last is about a special kind of evolving complex networks, the addition-deletion network. The motivation for the first of the two random walk investigations is provided by the diffusion of molecules in cell membranes. A mathematical model is constructed in order to predict molecular diffusion phenomena relating to the so-called compartmentalized …


Quantum Control Of D-Dimensional Quantum Systems With Application To Alkali Atomic Spins, Seth Merkel Aug 2009

Quantum Control Of D-Dimensional Quantum Systems With Application To Alkali Atomic Spins, Seth Merkel

Physics & Astronomy ETDs

In this dissertation I analyze Hamiltonian control of d-dimensional quantum systems as realized in alkali atomic spins. Alkali atoms provide an ideal platform for studies of quantum control due to the extreme precision with which the control fields are characterized as well as their isolation from their environment. In many cases, studies into the control of atomic spins restrict attention to a 2-dimesional subspace in order to consider qubit control. The geometry of quantum 2-level systems is much simpler than for any larger dimensional Hilbert space, and so control techniques for qubits often are not applicable to larger systems. In …


Uncovering The Origins Of Spiral Structure Through The Measurement Of Pattern Speeds And Their Radial Variation, Sharon Meidt Aug 2009

Uncovering The Origins Of Spiral Structure Through The Measurement Of Pattern Speeds And Their Radial Variation, Sharon Meidt

Physics & Astronomy ETDs

At the intersection of galactic dynamics, evolution and global structure, unresolved issues in the nature and origin of spirals can be addressed through the characterization of the angular speeds of the patterns and their possible radial variation. In this thesis I describe the development, testing, and application of the Radial Tremaine-Weinberg (TWR) Method, a generalized version of the continuity-based TW method wherein the pattern speed is allowed to vary arbitrarily with radius. I will address the utility of, and caveats in applying, the TWR calculation together with a standard regularization technique in a series of tests on N-body simulations. The …


On The Sources Of Astrometric Anomalous Refraction, Malinda Suzanne Taylor Aug 2009

On The Sources Of Astrometric Anomalous Refraction, Malinda Suzanne Taylor

Physics & Astronomy ETDs

Over a century ago, astronomers using transit telescopes to determine precise stellar positions were hampered by an unexplained periodic shifting of the stars they were observing. With the advent of CCD transit telescopes in the past three decades, this unexplained motion, now known as anomalous refraction, is again being observed. Anomalous refraction is described as a low frequency, large angular scale motion of the entire image plane with respect to the celestial coordinate system as observed and defined by previous astrometric catalogs. These motions of typically several tenths of an arcsecond with timescales on the order of ten minutes are …


Inas Quantum Dot Vertical-Cavity Lasers, Alexander R. Albrecht Jul 2009

Inas Quantum Dot Vertical-Cavity Lasers, Alexander R. Albrecht

Physics & Astronomy ETDs

Edge-emitting semiconductor lasers with self-assembled InAs quantum dot (QD) active regions have demonstrated excellent device performance, including low sensitivity to operating temperature and record-low thresholds. In this dissertation, the application of QDs in vertical-cavity lasers (VCLs) is investigated. QDs can reach an emission wavelength up to 1300 nm on GaAs substrate. Key design and device processing issues are discussed and vertical-cavity surface emitting lasers (VCSELs) with both optical and electrical excitation are fabricated. VCSEL diodes with distributed Bragg reflectors (DBRs) formed by selective wet oxidation of AlAs, as well as standard GaAs/AlGaAs mirrors were processed. The latter performed better due …


Measurements Of Low Energy Nuclear Recoil Tracks And Their Implications For Directional Dark Matter Detectors, Christina Hagemann Jan 2009

Measurements Of Low Energy Nuclear Recoil Tracks And Their Implications For Directional Dark Matter Detectors, Christina Hagemann

Physics & Astronomy ETDs

Directional dark matter detection is needed to unambiguously detect a dark matter particle interaction in a detector. This is due to the fact that only a dark matter signature will have its incoming direction vary throughout the day due to the rotation of the earth. This directional signature could only be measured in a gaseous detector as used by the DRIFT detector, currently taking data with one module at the Boulby mine in the UK. Gas has to be used as the detection media to allow for longer tracks that can be resolved in three dimensions and a vector direction, …


Study Of The Current-Voltage Relation For A Single C-60 Transistor, Anita Parmar Jan 2009

Study Of The Current-Voltage Relation For A Single C-60 Transistor, Anita Parmar

Physics & Astronomy ETDs

The beginning of this century saw the pioneering fabrication of a single molecular transistor using a single C60 molecule between gold nanowires, and inspired experimentalists and theorists alike to focus on studying phonon assisted transport through nanoscale electronic devices. We have formulated an electron tunnelling model for the current-voltage (I-V) relationship for a C60 molecular transistor that reproduces trends observed in the experimental I-V curves. A uniform one dimensional tight-binding lattice is used to model the transistor system, with a central defect site representing the molecule. The current is written as a function of tunnelling rates on and off of …