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Articles 1  30 of 929
FullText Articles in Physical Sciences and Mathematics
The Effects Of Pressure And Magnetic Field On Phase Transitions And Related Physical Properties In Solid State Caloric Materials, Ahmad Ikhwan Us Saleheen
The Effects Of Pressure And Magnetic Field On Phase Transitions And Related Physical Properties In Solid State Caloric Materials, Ahmad Ikhwan Us Saleheen
LSU Doctoral Dissertations
Solidstate caloric effects, such as the magnetocaloric (MCE) and barocaloric (BCE) effects, may be utilized in future cooling technologies that are more efficient and environmentfriendly. Large caloric effects often occur near phase transitions, especially near coupled firstorder magnetostructural transitions (MST), and are initiated by external parameters, such as magnetic field or hydrostatic pressure. In this dissertation, the effects of pressure, temperature, and magnetic field on the phase transitions in three material systems are studied in order to elucidate how the respective caloric effects are affected.
In the first study, the realization of a coupled MST in a MnNiSibased system through ...
Beam Theory For Classical And Quantum Nonlinear OpticsExposing Classical And Quantum Correlations Of TransverseSpatial Modes, Robert Nicholas Lanning
Beam Theory For Classical And Quantum Nonlinear OpticsExposing Classical And Quantum Correlations Of TransverseSpatial Modes, Robert Nicholas Lanning
LSU Doctoral Dissertations
Optics is arguably the most important branch of physics that has ever been studied. It is not only an essential ingredient of many other branches of physics that we study, it governs how we see, how we measure, and how we communicate in the modern world. And as the world continues to change, so do our tools and resources. In a relatively short amount of time, we have progressed from rudimentary tools that shape the world around us, to tools that harness the fundamental laws of nature. Unsurprisingly, the laws of nature governing optics remain paramount. This is because many ...
Effective Visualization Approaches For UltraHigh Dimensional Datasets, Gurminder Kaur
Effective Visualization Approaches For UltraHigh Dimensional Datasets, Gurminder Kaur
LSU Doctoral Dissertations
Multivariate informational data, which are abstract as well as complex, are becoming increasingly common in many areas such as scientific, medical, social, business, and so on. Displaying and analyzing large amounts of multivariate data with more than three variables of different types is quite challenging. Visualization of such multivariate data suffers from a high degree of clutter when the numbers of dimensions/variables and data observations become too large. We propose multiple approaches to effectively visualize large datasets of ultrahigh number of dimensions by generalizing two standard multivariate visualization methods, namely star plot and parallel coordinates plot. We refine three ...
Observation Of HighEnergy GammaRays With The Calorimetric Electron Telescope (Calet) OnBoard The International Space Station, Nicholas Wade Cannady
Observation Of HighEnergy GammaRays With The Calorimetric Electron Telescope (Calet) OnBoard The International Space Station, Nicholas Wade Cannady
LSU Doctoral Dissertations
The CALorimetric Electron Telescope (CALET) is a multiinstrument highenergy astrophysics observatory deployed to the International Space Station (ISS) in August 2015. The primary instrument is the calorimeter (CAL), which is intended for measurement of the cosmic ray electron flux in the energy range 10 GeV  20 TeV. The CAL is also sensitive to gammarays in the energy range 1 GeV  10 TeV and protons and nuclei up to PeV energies. Also present on the CALET payload are an Advanced Stellar Compass (ASC) for the fine determination of the pointing direction and the CALET Gammaray Burst Monitor (CGBM) for the observation ...
Theoretical Studies Of Ultrafast Electron Dynamics In Atoms And Molecules Via HighOrder Harmonic Generation, Paul Vincent Abanador
Theoretical Studies Of Ultrafast Electron Dynamics In Atoms And Molecules Via HighOrder Harmonic Generation, Paul Vincent Abanador
LSU Doctoral Dissertations
The interaction of atoms and molecules with strong laser pulses is of fundamental interest in physics and chemistry. Notably, the process known as highorder harmonic generation (HHG) refers to the production of extremeultraviolet (XUV) light, which occurs when an ensemble of atoms or molecules is subjected to a strong infrared laser field. Characterized by an attosecond time scale (1 as = 10^{18} s), the HHG process provides the capability for experimental measurements to capture the ultrafast motion of electrons in these target atoms and molecules. The underlying physical mechanism behind this process naturally leaves imprints in the properties of the ...
Bipartite Quantum Interactions: Entangling And Information Processing Abilities, Siddhartha Das
Bipartite Quantum Interactions: Entangling And Information Processing Abilities, Siddhartha Das
LSU Doctoral Dissertations
The aim of this thesis is to advance the theory behind quantum information processing tasks, by deriving fundamental limits on bipartite quantum interactions and dynamics. A bipartite quantum interaction corresponds to an underlying Hamiltonian that governs the physical transformation of a twobody open quantum system. Under such an interaction, the physical transformation of a bipartite quantum system is considered in the presence of a bath, which may be inaccessible to an observer. The goal is to determine entangling abilities of such arbitrary bipartite quantum interactions. Doing so provides fundamental limitations on information processing tasks, including entanglement distillation and secret key ...
HighDimensional Isotope Relationships, Yuyang He
HighDimensional Isotope Relationships, Yuyang He
LSU Doctoral Dissertations
Highdimensional isotope relationships describes the relationships of two or more element or positionspecific (PS) elements in the same molecule or ion. It provides us more powerful tools to study reaction mechanisms and dynamics. Chapter 1 is about dual or multiple stable isotope relationship on δδ (or δ'δ') space. While temporal data sampled from a closedsystem can be treated by a Rayleigh Distillation Model (RDM), spatial data should be treated by a ReactionTransport Model (RTM). Here we compare the results of a closedsystem RDM to a RTM for systems with diffusional mass transfer by simulating the trajectories on nitrate's ...
Ultrafast And Nonlinear Spectroscopy Of Nanomaterials, Rami Anthony Khoury
Ultrafast And Nonlinear Spectroscopy Of Nanomaterials, Rami Anthony Khoury
LSU Doctoral Dissertations
Ultrafast and nonlinear spectroscopies are implemented in the investigation of excitedstate dynamics and structural properties of materials and nanomaterials. In the first study, the excitedstate dynamics of sizedependent colloidal TiO_{2}Au nanocomposites are investigated using ultrafast transient absorption spectroscopy. The dynamics corresponding to the plasmon depletion band are characterized by electronphonon and phononphonon coupling lifetimes that are observed to be independent of the gold nanocluster shell thickness. The excitedstate dynamics corresponding to the interband transition of gold is also spectrally overlapped with the interfacial electron transfer lifetime, which is shown to decrease as the nanocluster shell thickness increases. In ...
Curve Tracking Control Under State Constraints And Uncertainties, Robert Kelly Sizemore
Curve Tracking Control Under State Constraints And Uncertainties, Robert Kelly Sizemore
LSU Doctoral Dissertations
We study a class of steering control problems for freemoving particles tracking a curve in the plane and also in a threedimensional environment, which are central problems in robotics. In the twodimensional case, we provide adaptive controllers for curve tracking under unknown curvatures and control uncertainty. The system dynamics include a nonlinear dependence on the curvature, and are coupled with an estimator for the unknown curvature to form the augmented error dynamics. This nonlinear dependence puts our curvature identification objective outside the scope of existing adaptive tracking and parameter identification results that were limited to cases where the unknown parameters ...
NonLocal Methods In Fracture Dynamics, Eyad Said
NonLocal Methods In Fracture Dynamics, Eyad Said
LSU Doctoral Dissertations
We first introduce a regularized model for free fracture propagation based on nonlocal potentials. We work within the small deformation setting and the model is developed within a state based peridynamic formulation. At each instant of the evolution we identify the softening zone where strains lie above the strength of the material. We show that deformation discontinuities associated with flaws larger than the length scale of nonlocality $\delta$ can become unstable and grow. An explicit inequality is found that shows that the volume of the softening zone goes to zero linearly with the length scale of nonlocal interaction. This scaling ...
Dimers On Cylinders Over Dynkin Diagrams And Cluster Algebras, Maitreyee Chandramohan Kulkarni
Dimers On Cylinders Over Dynkin Diagrams And Cluster Algebras, Maitreyee Chandramohan Kulkarni
LSU Doctoral Dissertations
This dissertation describes a general setting for dimer models on cylinders over Dynkin diagrams which in type A reduces to the wellstudied case of dimer models on a disc. We prove that all BerensteinFominZelevinsky quivers for Schubert cells in a symmetric KacMoody algebra give rise to dimer models on the cylinder over the corresponding Dynkin diagram. We also give an independent proof of a result of Buan, Iyama, Reiten and Smith that the corresponding superpotentials are rigid using the dimer model structure of the quivers.
Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang
Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang
LSU Doctoral Dissertations
We investigate the spectrum of regular quantumgraph trees, where the edges are endowed with a Schr\"odinger operator with selfadjoint Robin vertex conditions. It is known that, for large eigenvalues, the Robin spectrum approaches the Neumann spectrum. In this research, we compute the lower Robin spectrum. The spectrum can be obtained from the roots of a sequence of orthogonal polynomials involving two variables. As the length of the quantum tree increases, the spectrum approaches a bandgap structure. We find that the lowest band tends to minus infinity as the Robin parameter increases, whereas the rest of the bands remain positive ...
Templates For Representable Matroids, Kevin Manuel Grace
Templates For Representable Matroids, Kevin Manuel Grace
LSU Doctoral Dissertations
The matroid structure theory of Geelen, Gerards, and Whittle has led to a hypothesis that a highly connected member of a minorclosed class of matroids representable over a finite field is a mild modification (known as a perturbation) of a frame matroid, the dual of a frame matroid, or a matroid representable over a proper subfield. They introduced the notion of a template to describe these perturbations in more detail. In this dissertation, we determine these templates for various classes and use them to prove results about representability, extremal functions, and excluded minors.
Chapter 1 gives a brief introduction to ...
Two Results In Drawing Graphs On Surfaces, Joshua E. Fallon
Two Results In Drawing Graphs On Surfaces, Joshua E. Fallon
LSU Doctoral Dissertations
In this work we present results on crossingcritical graphs drawn on nonplanar surfaces and results on edgehamiltonicity of graphs on the Klein bottle. We first give an infinite family of graphs that are 2crossingcritical on the projective plane. Using this result, we construct 2crossingcritical graphs for each nonorientable surface. Next, we use 2amalgamations to construct 2crossingcritical graphs for each orientable surface other than the sphere. Finally, we contribute to the pursuit of characterizing 4connected graphs that embed on the Klein bottle and fail to be edgehamiltonian. We show that known 4connected counterexamples to edgehamiltonicity on the Klein bottle are hamiltonian ...
Shifting Niche Space In Coastal Landscapes: SpatioTemporal Patterns Driving Submerged Aquatic Vegetation Across The Northern Gulf Of Mexico, Kristin Elise Demarco
Shifting Niche Space In Coastal Landscapes: SpatioTemporal Patterns Driving Submerged Aquatic Vegetation Across The Northern Gulf Of Mexico, Kristin Elise Demarco
LSU Doctoral Dissertations
Identifying distributions of submerged aquatic vegetation (SAV) across the northern Gulf of Mexico (NGOM) coastal landscape necessitates describing ecological processes in estuarine gradients. SAV assemblages are ecological indicators of aquatic ecosystem health; spatial and temporal distributions are strongly correlated to environmental conditions. Many wildlife species, including waterfowl, are dependent on SAV and seeds in NGOM coastal marshes for food and habitat. To understand SAV distributions at multiple spatial and temporal scales a multitiered project was designed to collect SAV presence, species assemblage, and cover data, and cores to describe seed food. The first tier sampled interannually in the growing seasons ...
Mixed Categories Of Sheaves On Toric Varieties, Sean Michael Taylor
Mixed Categories Of Sheaves On Toric Varieties, Sean Michael Taylor
LSU Doctoral Dissertations
In [BGS96], Beilinson, Ginzburg, and Soergel introduced the notion of mixed categories. This idea often underlies many interesting "Koszul dualities." In this paper, we produce a mixed derived category of constructible complexes (in the sense of [BGS96]) for any toric variety associated to a fan. Furthermore, we show that it comes equipped with a tstructure whose heart is a mixed version of the category of perverse sheaves. In chapters 2 and 3, we provide the necessary background. Chapter 2 concerns the categorical preliminaries, while chapter 3 gives the background geometry. This concerns both some basics of toric varieties as well ...
Endorectal Digital Prostate Tomosynthesis, Joseph Robert Steiner
Endorectal Digital Prostate Tomosynthesis, Joseph Robert Steiner
LSU Doctoral Dissertations
Several areas of prostate cancer (PCa) management, such as imaging permanent brachytherapy implants or small, aggressive lesions, benefit from high image resolution. Current PCa imaging methods can have inadequate resolution for imaging these areas. Endorectal digital prostate tomosynthesis (endoDPT), an imaging method that combines an external xray source and an endorectal xray sensor, can produce threedimensional images of the prostate region that have high image resolution compared to typical methods. This high resolution may improve PCa management and increase positive outcomes in affected men.
This dissertation presents the initial development of endoDPT, including system design, image quality assessment, and examples ...
Entropic Bounds On TwoWay Assisted SecretKey Agreement Capacities Of Quantum Channels, Noah Anthony Davis
Entropic Bounds On TwoWay Assisted SecretKey Agreement Capacities Of Quantum Channels, Noah Anthony Davis
LSU Doctoral Dissertations
In order to efficiently put quantum technologies into action, we must know the characteristics of the underlying quantum systems and effects. An interesting example is the use of the secretkeyagreement capacity of a quantum channel as a guide and measure for the implementation of quantum key distribution (QKD) and distributed quantum computation. We define the communication task of establishing a secret key over a quantum channel subject to an energy constraint on the input state and while allowing for unlimited local operations and classical communication (LOCC) between a sender and receiver. We then use the energyconstrained squashed entanglement to bound ...
Workflows For XRay And Neutron Interferometry/Tomography As Applied To Additive Manufacturing, Jumao Yuan
Workflows For XRay And Neutron Interferometry/Tomography As Applied To Additive Manufacturing, Jumao Yuan
LSU Doctoral Dissertations
Gratingbased interferometry/tomography is being rapidly developed for nondestructive evaluation of additive manufacturing test articles. An application requiring an eﬃcient workﬂow is extremely necessary for stress and fatigue testing samples.
At present, scientiﬁc workﬂows play an important role for computational experiments in additive manufacturing 3D printing and interferometry/tomography imaging analysis. A clear workﬂow template allows scientists to process experiments easier and faster. Work ﬂow library grows, but to ﬁnd an appropriate workﬂow for their task is challenging. In our research, there are mainly three portions in the workﬂow, interferometry analysis, image reconstruction and 3D visualization. Currently, the hierarchy of ...
General Stochastic Integral And Itô Formula With Application To Stochastic Differential Equations And Mathematical Finance, Jiayu Zhai
LSU Doctoral Dissertations
A general stochastic integration theory for adapted and instantly independent stochastic processes arises when we consider anticipative stochastic differential equations. In Part I of this thesis, we conduct a deeper research on the general stochastic integral introduced by W. Ayed and H.H. Kuo in 2008. We provide a rigorous mathematical framework for the integral in Chapter 2, and prove that the integral is welldefined. Then a general Itô formula is given. In Chapter 3, we present an intrinsic property, nearmartingale property, of the general stochastic integral, and DoobMeyer's decomposition for nearsubmartigales. We apply the new stochastic integration theory ...
Numerical Experiment Of Sediment Dynamics Over A Dredged Pit On The Louisiana Shelf, Nazanin Chaichitehrani
Numerical Experiment Of Sediment Dynamics Over A Dredged Pit On The Louisiana Shelf, Nazanin Chaichitehrani
LSU Doctoral Dissertations
Sediment transport over Sandy Point dredge pit in the northern Gulf of Mexico was examined using field measurements and a finely resolved numerical model. Delft3D model with wellvetted computational grid and input parameters was used. Numerical experiments were performed to examine the effect of windgenerated waves, winddriven currents and their interaction on sediment dynamics in our study area during a cold front in November 2014 and fairweather conditions between July and August of 2015. Sediment dispersal from the lower Mississippi River, sediment resuspension, transport and deposition with high spatial and temporal resolution were simulated. A reliable satellitederived nearsurface suspended particulate ...
Innovative Monte Carlo Methods For Sampling Molecular Conformations, Aliasghar Sepehri
Innovative Monte Carlo Methods For Sampling Molecular Conformations, Aliasghar Sepehri
LSU Doctoral Dissertations
Sampling molecular conformations is an important step in evaluating physical, mechanical, hydrodynamic, and optical properties of flexible molecules especially polymers. One powerful method for this purpose is configurationalbias Monte Carlo in which one random segment of a molecule is chosen, all segments toward one random end are removed, and then regrown segment by segment to produce a new geometry to be accepted/rejected according to probability laws. The advantage of this method is the ability to generate acceptable conformations that are favorable for intra and intermolecular energies to save computational costs. However, when there are several interdependent energetic terms, trial ...
The Graphs And Matroids Whose Only Odd Circuits Are Small, Kristen Nicole Wetzler
The Graphs And Matroids Whose Only Odd Circuits Are Small, Kristen Nicole Wetzler
LSU Doctoral Dissertations
This thesis is motivated by a graphtheoretical result of Maffray, which states that a 2connected graph with no odd cycles exceeding length 3 is bipartite, is isomorphic to K_4, or is a collection of triangles glued together along a common edge. We first prove that a connected simple binary matroid M has no odd circuits other than triangles if and only if M is affine, M is M(K_4) or F_7, or M is the cycle matroid of a graph consisting of a collection of triangles glued together along a common edge. This result implies that a 2connected loopless graph ...
Characterizations Of Some Classes Of Graphs That Are Nearly SeriesParallel, Victoria Fontaine
Characterizations Of Some Classes Of Graphs That Are Nearly SeriesParallel, Victoria Fontaine
LSU Doctoral Dissertations
A seriesparallel graph can be built from a singleedge graph by a sequence of series and parallel extensions. The class of such graphs coincides with the class of graphs that do not have the complete graph K_{4} as a minor. This dissertation considers a class M_{1} of graphs that are close to being seriesparallel. In particular, every member of the class has the property that one can obtain a seriesparallel graph by adding a new edge and contracting it out, or by splitting a vertex into two vertices whose neighbor sets partition the neighbor set of the original ...
Development Of Remote Hydroxylation Via Redox Catalysis And Mild Activation Of Thioglycosides For OGlycosylation, Kristina Deveaux
Development Of Remote Hydroxylation Via Redox Catalysis And Mild Activation Of Thioglycosides For OGlycosylation, Kristina Deveaux
LSU Doctoral Dissertations
The focus of this dissertation is the development of a CH functionalization method using redox catalysis and the synthesis of saccharides using thioglycosides. Chapter 1 is a review of CH functionalization and visiblelight photoredox catalysis. Over the years there have been many significant contributions to the field of CH functionalization. Select examples have been discussed and a foundation for the method developed in chapter 2 has been outlined. Chapter 2 discusses the development and optimization of a CH functionalization method. This approach uses the Tz^{o} directing group and Ir(ppy)_{3} to activate a remote CH bond via 1 ...
Multimode Approach To Classical And Quantum Diffraction, Zhihao Xiao
Multimode Approach To Classical And Quantum Diffraction, Zhihao Xiao
LSU Doctoral Dissertations
I have investigated classical diffraction of optical beams with multimode approach, which is a significant improvement upon the traditional Huygens–Fresnel principle based diffraction theory. I have also investigated quantum diffraction with multimode approach, which describes the behavior of multimode quantum state. Multimode approach to classical and quantum diffraction provides a clear mathematical formalism and is verified by numerical simulations. In addition, I present the work on superconducting qubit and oscillator with timedependent coupling coefficient, with first order correction with finite qubit energy and schemes based on and π pulses.
Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry
Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry
LSU Doctoral Dissertations
In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the continuous spectrum. When the structure is perturbed, this embedded eigenvalue moves into the complex plane and becomes a “complex resonance” frequency. The real and imaginary parts of this complex frequency have physical meaning. They lie behind anomalous scattering behaviors known collectively as “Fano resonance”, and people are interested in tuning them to specific values in optical devices. The mathematics involves spectral theory and analytic perturbation theory and is well understood [16], at least on a theoretical ...
Nanopatterns Of Zinc Phthalocyanines, Gold Nanoparticles, And Porphyrins Prepared Using Particle Lithography: Characterization Of Patterning Steps With Scanning Probe Microscopy, Ashley Marie Taylor
Nanopatterns Of Zinc Phthalocyanines, Gold Nanoparticles, And Porphyrins Prepared Using Particle Lithography: Characterization Of Patterning Steps With Scanning Probe Microscopy, Ashley Marie Taylor
LSU Doctoral Dissertations
The growth and selfassembly of molecules on surfaces can be directly visualized at the molecular level using studies which combine nanoscale lithography and highresolution imaging. Nanopatterning provides a unique and practical approach for direct views of surface changes after the key chemical steps of nanopatterning, providing landmarks and baselines for measuring growth in vertical and lateral dimensions. Controlling the arrangement of materials on surfaces at the nanoscale can be achieved using particle lithography. Arrays of welldefined nanostructures can be prepared with reproducible geometries and arrangement. Results for the preparation of nanopatterns produced with particle lithography are presented using high resolution ...
Coupled Plasmon/Molecule Dynamics Near CoreShell Nanoparticles: Synthesis, Ultrafast Characterization, And Quantum/Classical Modeling, Holden Tyler Smith
Coupled Plasmon/Molecule Dynamics Near CoreShell Nanoparticles: Synthesis, Ultrafast Characterization, And Quantum/Classical Modeling, Holden Tyler Smith
LSU Doctoral Dissertations
In this dissertation, the resonance coupling of chromaphoric dyes adsorbed on the surface of plasmonic nanoparticles (NPs) are investigated using a combined theoretical and experi mental approach. Colloidal gold, goldsilver coreshell, silvergold coreshell, and goldsilver gold coreshellshell NPs are considered. These NPs are thiolated with mercaptosuccinic acid, and malachite green dyes are adsorbed to the surface of the nanoparticle (NP) via elec trostatic interactions. Second harmonic generation is used to determine the surface to the isotherm of the molecular dyes to the colloidal nanoparticle surface. Adsorption isotherms show that the SHG intensity increases as the concentration of dye increases, reaching ...
An Enhanced Bridge WeighInMotion Methodology And A Bayesian Framework For Predicting Extreme Traffic Load Effects Of Bridges, Yang Yu
LSU Doctoral Dissertations
In the past few decades, the rapid growth of traffic volume and weight, and the aging of transportation infrastructures have raised serious concerns over transportation safety. Under these circumstances, vehicle overweight enforcement and bridge condition assessment through structural health monitoring (SHM) have become critical to the protection of the safety of the public and transportation infrastructures. The main objectives of this dissertation are to: (1) develop an enhanced bridge weighinmotion (BWIM) methodology that can be integrated into the SHM system for overweight enforcement and monitoring traffic loading; (2) present a Bayesian framework to predict the extreme traffic load effects (LEs ...