Calculation of the magnetic field penetration depth for high-Tc cuprate superconductors based on the Interlayer Pair Tunneling model /

In this work, the magnetic field penetration depth for high-Tc cuprate superconductors is calculated using a recent Interlayer Pair Tunneling (ILPT) model proposed by Chakravarty, Sudb0, Anderson, and Strong [1] to explain high temperature superconductivity. This model involves a "hopping" of Cooper pairs between layers of the unit cell which acts to amplify the pairing mechanism within the planes themselves. Recent work has shown that this model can account reasonably well for the isotope effect and the dependence of Tc on nonmagnetic in-plane impurities [2] , as well as the Knight shift curves [3] and the presence of a magnetic peak in the neutron scattering intensity [4]. In the latter case, Yin et al. emphasize that the pair tunneling must be the dominant pairing mechanism in the high-Tc cuprates in order to capture the features found in experiments. The goal of this work is to determine whether or not the ILPT model can account for the experimental observations of the magnetic field penetration depth in YBa2Cu307_a7. Calculations are performed in the weak and strong coupling limits, and the efi"ects of both small and large strengths of interlayer pair tunneling are investigated. Furthermore, as a follow up to the penetration depth calculations, both the neutron scattering intensity and the Knight shift are calculated within the ILPT formalism. The aim is to determine if the ILPT model can yield results consistent with experiments performed for these properties. The results for all three thermodynamic properties considered are not consistent with the notion that the interlayer pair tunneling must be the dominate pairing mechanism in these high-Tc cuprate superconductors. Instead, it is found that reasonable agreement with experiments is obtained for small strengths of pair tunneling, and that large pair tunneling yields results which do not resemble those of the experiments.

Calculation of nondifferential properties for atomic ground states /

A new method for sampling the exact (within the nodal error) ground state distribution and nondiflPerential properties of multielectron systems is developed and applied to firstrow atoms. Calculated properties are the distribution moments and the electronic density at the nucleus (the 6 operator). For this purpose, new simple trial functions are developed and optimized. First, using Hydrogen as a test case, we demonstrate the accuracy of our algorithm and its sensitivity to error in the trial function. Applications to first row atoms are then described. We obtain results which are more satisfactory than the ones obtained previously using Monte Carlo methods, despite the relative crudeness of our trial functions. Also, a comparison is made with results of highly accurate post-Hartree Fock calculations, thereby illuminating the nodal error in our estimates. Taking into account the CPU time spent, our results, particularly for the 8 operator, have a relatively large variance. Several ways of improving the eflSciency together with some extensions of the algorithm are suggested.

Nietzsche's will-to-power ontology : an interpretation of Beyond Good and Evil

Abstract: Nietzsche's Will-to-Power Ontology: An Interpretation of Beyond Good and Evil § 36 By: Mark Minuk Will-to-power is the central component of Nietzsche's philosophy, and passage 36 of Beyond Good and Evil is essential to coming to an understanding of it. 1 argue for and defend the thesis that will-to-power constitutes Nietzsche's ontology, and offer a new understanding of what that means. Nietzsche's ontology can be talked about as though it were a traditional substance ontology (i.e., a world made up of forces; a duality of conflicting forces described as 'towards which' and 'away from which'). However, 1 argue that what defines this ontology is an understanding of valuation as ontologically fundamental—^the basis of interpretation, and from which a substance ontology emerges. In the second chapter, I explain Nietzsche's ontology, as reflected in this passage, through a discussion of Heidegger's two ontological categories in Being and Time (readiness-to-hand, and present-at-hand). In a nutshell, it means that the world of our desires and passions (the most basic of which is for power) is ontologically more fundamental than the material world, or any other interpretation, which is to say, the material world emerges out of a world of our desires and passions. In the first chapter, I address the problematic form of the passage reflected in the first sentence. The passage is in a hypothetical style makes no claim to positive knowledge or truth, and, superficially, looks like Schopenhaurian position for the metaphysics of the will, which Nietzsche rejects. 1 argue that the hypothetical form of the passage is a matter of style, namely, the style of a free-spirit for whom the question of truth is reframed as a question of values. In the third and final chapter, 1 address the charge that Nietzsche's interpretation is a conscious anthropomorphic projection. 1 suggest that the charge rests on a distinction (between nature and man) that Nietzsche rejects. I also address the problem of the causality of the will for Nietzsche, by suggesting that an alternative, perspectival form of causality is possible.

The storying of an educator: the power of living legacy /

"I began these pages for myself, in order to think out my own particular pattern of living, my own individual balance of life, work and human relationships." Lindbergh (1983) p.9. In this thesis, I use self-study research as I focus on the topic of living legacy. This is a personal story, using narrative methodology and method as a means of uncovering and naming life lessons learned. I write to gain insight into my interpretation of the concept of living legacy - what living legacy means to me and why this concept is significant to me - and how living legacy impacts the person that I am in the present. Using a narrative lens, I inquire into stories that connect me to my spirit, my gender, education and theology, through my living legacy lessons, and I seek the impact these stories hold for me in my life today. I utilize a variety of methods including personal journals, course work, and arts-based research experiences as I explore the connections to my emerging perceptions ofmy living legacy lessons. This thesis represents the beginning of a continuing journey of self-discovery. I take the journey in order to uncover hidden and ongoing lessons of living legacy and the impact they have on the student and educator that I am.

Validation of ice skating protocol to predict aerobic power in hockey players

Validation ofan Ice Skating Protocol to Predict Aerobic Power in Hockey Players In assessing the physiological capacity of ice hockey players, researchers have often reported the outcomes from different anaerobic skate tests, and the general physical fitness of participants. However, with respect to measuring the aerobic power of ice hockey players, few studies have reported a sport-specific protocol, and currently there is a lack of cohort-specific information describing aerobic power based on evaluations using an on-ice protocol. The Faught Aerobic Skating Test (FAST) uses an on-ice continuous skating protocol to induce a physical stress on a participant's aerobic energy system. The FAST incorporates the principle of increasing workloads at measured time intervals during a continuous skating exercise. Regression analysis was used to determine the estimate of aerobic power within gender and age level. Data were collected on 532 hockey players, (males=384, females=148) ranging in age between 9 and 25 years. Participants completed a laboratory test to measure aerobic power using a modified Bruce protocol, and the on-ice FAST. Regression equations were developed for six male and female, age-specific cohorts separately. The most consistent predictors were weight and final stage completed on the FAST. These results support the application of the FAST to estimate aerobic power among hockey players with R^ values ranging from 0.174 to 0.396 and SEE ranging from 5.65 to 8.58 ml kg' min'' depending on the cohort. Thus we conclude that FAST to be an accurate predictor of aerobic power in age and gender-specific hockey playing cohorts.

Asymmetrical balance of power in preadolescents' mutual friendships

Dyadic friendShip' asymmetry was examined in relation to gender, friendship quality, and friendship status. Sixty-nine grade five children and their mutual, same-sex, friends participated in a laboratory session comprised ofvarious activities and completed questionnaires to identify mutual friends and evaluate friendship quality. Asymmetry of power was assessed observationally during an origami task. Variations in balance of power were evident in children's friendships. Boys' dyads had significantly greater levels of asymmetry than girls' dyads. Regardless of gender, asymmetry was associated with lower friendship quality, particularly as indexed by validation and caring and conflict resolution. Asymmetry was unrelated to differences in friendship status. Furthermore, relative individual power within the friendship was not related to individual perceptions offriendship quality. The implications ofthese findings in the theoretical and empirical literature were considered and suggestions for future research were made.

Calculation of the optical conductivity for the Anderson impurity model using the slave boson technique

The optical conductivity of the Anderson impurity mode l has been calculated by emp l oying the slave boson technique and an expansion in powers of l i N, where N is the d egeneracy o f the f electron level . This method has been used to find the effective mass of the conduction electrons for temperatures above and below the Kondo tempera ture. For low temperatures, the mass enhancement is f ound to be large while a t high t emperatures, the mass enhancement is sma ll. The conductivity i s f ound to be Drude like with frequency dependent effective mass and scattering time for low independent effective mass and temperatures and scattering time f requency for high t emperatures. The behavior of both the effective mass and the conductivity is in qualitative agreement with experimental r esul t s .

Exchange energy calculation of He-He with supermolecular one-matrix

Exch~nge energy of the He-He system is calculated using the one-density matrix which has been modified according to the supermolecular density formula quoted by Kolos. The exchange energy integrals are computed analytically and by the Monte Carlo method. The results obtained from both ways compared favourably,with the results obtained from the SCF program HONDO

Molecular dynamics calculation of mean square displacement in alkali metals and rare gas solids and comparison with lattice dynamics

Molec ul ar dynamics calculations of the mean sq ua re displacement have been carried out for the alkali metals Na, K and Cs and for an fcc nearest neighbour Lennard-Jones model applicable to rare gas solids. The computations for the alkalis were done for several temperatures for temperature vol ume a swell as for the the ze r 0 pressure ze ro zero pressure volume corresponding to each temperature. In the fcc case, results were obtained for a wide range of both the temperature and density. Lattice dynamics calculations of the harmonic and the lowe s t order anharmonic (cubic and quartic) contributions to the mean square displacement were performed for the same potential models as in the molecular dynamics calculations. The Brillouin zone sums arising in the harmonic and the quartic terms were computed for very large numbers of points in q-space, and were extrapolated to obtain results ful converged with respect to the number of points in the Brillouin zone.An excellent agreement between the lattice dynamics results was observed molecular dynamics and in the case of all the alkali metals, e~ept for the zero pressure case of CSt where the difference is about 15 % near the melting temperature. It was concluded that for the alkalis, the lowest order perturbation theory works well even at temperat ures close to the melting temperat ure. For the fcc nearest neighbour model it was found that the number of particles (256) used for the molecular dynamics calculations, produces a result which is somewhere between 10 and 20 % smaller than the value converged with respect to the number of particles. However, the general temperature dependence of the mean square displacement is the same in molecular dynamics and lattice dynamics for all temperatures at the highest densities examined, while at higher volumes and high temperatures the results diverge. This indicates the importance of the higher order (eg. ~* ) perturbation theory contributions in these cases.

On the formulation and the calculation of the harmonic contributions to the Debye-Waller factor in metals (sodium)

The algebraic expressions for the anharmonic contributions to the Debye-Waller factor up to 0(A ) and 0 L% ) £ where ^ is the scattering wave-vector] have been derived in a form suitable for cubic metals with small ion cores where the interatomic potential extends to many neighbours. This has been achieved in terms of various wave-vector dependent tensors, following the work of Shukla and Taylor (1974) on the cubic anharmonic Helmholtz free energy. The contribution to the various wave-vector dependent tensors from the coulomb and the electron-ion terms in the interatomic metallic potential has been obtained by the Ewald procedure. All the restricted multiple whole B r i l l o u i n zone (B.Z.) sums are reduced to single whole B.Z. sums by using the plane wave representation of the delta function. These single whole B.Z. sums are further reduced to the •%?? portion of the B.Z. following Shukla and Wilk (1974) and Shukla and Taylor (1974). Numerical calculations have been performed for sodium where the Born-Mayer term in the interatomic potential has been neglected because i t is small £ Vosko (1964)3 • *n o^er to compare our calculated results with the experimental results of Dawton (1937), we have also calculated the r a t io of the intensities at different temperatures for the lowest five reflections (110), (200), (220), (310) and (400) . Our calculated quasi-harmonic results agree reasonably well with the experimental results at temperatures (T) of the order of the Debye temperature ( 0 ). For T » © ^ 9 our calculated anharmonic results are found to be in good agreement with the experimental results.The anomalous terms in the Debye-Waller factor are found not to be negligible for certain reflections even for T ^ ©^ . At temperature T yy Op 9 where the temperature is of the order of the melting temperature (Xm) » "the anomalous terms are found to be important almost for all the f i ve reflections.

Niagara Falls power and American industries /

Reprinted from the Transactions of the American Electrochemical Society, twenty-ninth general meeting, Washington, D.C., April 27-29, 1916.

Water-power at Niagara Falls to be successfully utilized : its objects, facilities and resources, inducements for manufacturers, etc. /

The lithograph, "General view of lands, tunnel and docks of Niagara River Hydraulic Tunnel, Power and Sewer Company," called for p. [4] in the Index, has been removed and encapsulated, and is shelved separately.