301 research outputs found

    Generalized Penner model and the Gaussian beta ensemble

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    AbstractIn this paper, a new expression for the partition function of the generalized Penner model given by Goulden, Harer and Jackson is derived. The Penner and the orthogonal Penner partition functions are special cases of this formula. The parametrized Euler characteristic ξgs(γ) deduced from our expression of the partition function is shown to exhibit a contribution from the orbifold Euler characteristic of the moduli space of Riemann surfaces of genus g, with s punctures, for all parameters γ and g odd. The other contributions for g even are linear combinations of the Bernoulli polynomials at rational arguments. It turns out that the free energy coefficients of the generalized Penner model in the continuum limit, are identical to those coefficients in the large N expansion of the Gaussian β-ensemble. Moreover, the duality enjoyed by the generalized Penner model, is also the duality symmetry of the Gaussian β-ensemble. Finally, a shift in the ʼt Hooft coupling constant required by the refined topological string, would leave the Gaussian β-ensemble duality intact. This duality is identified with the remarkable duality of the c=1 string at radius R=β

    Induced energy polarization of the vacuum and the rotational curve for the galaxy

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    This is a manuscript version of an article published as: Penner, A.R. (2013). "Induced energy polarization of the vacuum and the rotational curve for the Galaxy". Canadian Journal of Physics, 91(2), 126-133. DOI: 10.1139/cjp-2012-0300 Canadian Journal of Physics is available online at: http://www.nrcresearchpress.com/journal/cjp and this article is available at: http://dx.doi.org/10.1139/cjp-2012-0300The theory of an induced energy polarized vacuum, as previously presented by the author (Penner. Can. J. Phys. 90, 315 (2012)), is used to generate a theoretical rotational curve for the Galaxy. The theoretical curve generated is found to be in good agreement with Sofue's (Publ. Astron. Soc. Jpn. 64, (2012)) compilation of observations. For the baryonic mass distribution and baryonic Tully–Fisher relationship that is used, the theoretical orbital velocity at the Sun's location is found to be (235 ± 15) km s−1. The galactic rotational velocity is then found to slowly fall from this value as it asymptotically approaches the value of (192 ± 15) km s−1.https://viuspace.viu.ca/bitstream/handle/10613/2896/Penner.CJP91.2.pdf?sequence=3Post-print versio

    Gravitational anti-screening and binary galaxies

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    This is a pre-copyedited, author produced version of an article published as: Penner, A.R. (2017). Gravitational anti-screening and binary galaxies. Astrophysics and Space Science, 362(4), 1-10. DOI: 10.1007/s10509-017-3054-7 The final publication is available at Springer via http://dx.doi.org/10.1007/s10509-017-3054-7.Previously, in Penner (2016a, 2016b), a theory of gravitational anti-screening was shown to lead naturally to the Baryonic Tully-Fisher Relationship. In addition, it was shown to agree with the observed rotational curve of the Galaxy, the observed features in the rotational curves of other spiral galaxies, with observations of the Coma cluster, and with a geometrically flat universe. In this paper the theory will now be applied to binary galaxies. It is shown that there is a relationship between the line-of-sight velocity difference of the pair and the individual rotational velocities of the galaxies. The resulting probability function for β, defined as the ratio of the line-of-sight velocity difference to the rotational velocity of the larger galaxy of the pair, is in excellent agreement with the observations taken by multiple researchers for the case of the binaries being on radial orbits.https://viurrspace.ca/bitstream/handle/10613/5698/Penner.80.pdf?sequence=3Pre-prin

    The coal future capital and fuel cycle energy costs of a 1,000 MWe nuclear reactor / CAC No. 163 Appendix B

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    Made available in DSpace on 2012-07-17T15:10:18Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) coalfuturecapita163rieb.pdf: 2500906 bytes, checksum: 5a1be35da727d9ff281d4b1512ed38f0 (MD5) Previous issue date: 1975CAC technical memorandum : input-output calculation of fuel cycle energy costs for the average nuclear power plant Penner, Peter no. 50 April 1975.CAC technical memorandum : summary of techniques used for calculating the energy costs of constructing a commercial nuclear reactor no. 51 April 1975 Penner, Peter.Includes bibliographical references

    Gravitational anti-screening as an alternative to the ΛCDM model

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    This is a pre-copyedited, author produced version of an article published as: Penner, A.R. (2016). Gravitational anti-screening as an alternative the ΛCDM model. Astrophysics and Space Science, 361(11), 1-5. DOI: 10.1007/s10509-016-2953-3 The final publication is available at Springer via http://dx.doi.org/10.1007/s10509-016-2953-3.Previously, in Penner (2016), a theory of gravitational anti-screening was shown to lead to the Baryonic Tully-Fisher Relationship. In addition it was shown to agree with the observed rotation curve of the Galaxy, the observed features in the rotational curves of other spiral galaxies, and with observations of the Coma cluster. In this paper, the theory is now shown to be consistent with a geometrically flat universe. Using a model of the distribution of superclusters, the overall density parameter of the universe, as determined by the theory, is Ω = 1.08 ± 0.19. In addition, the energy density which falls out from the theory has a negative pressure associated with it. This, along with a model of the evolution of superclusters, leads to an acceleration of the universal expansion without the requirement of dark energy. The theory of gravitational anti-screening therefore provides an alternative to the ΛCDM model of cosmology.https://viurrspace.ca/bitstream/handle/10613/5697/Penner.631.pdf?sequence=3Article 361Pre-print versio

    A deuterium NMR study of molecular dynamics and geometry in two classes of onium salts:(CH3) 3E+ X-and C6H5M (CH3) 3+ I

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    Deuterium NMR measurements are reported for two types of onium salts: (CH3)3E+I-, where E = O (counterion is BF4-), S, Se, or Te, and C6H5M(CH3)3+I-, where M = N, P, or As. Within each class of compounds the activation energy for rotation of the trimethyl groups about the C3' axis increases with increasing size of the central atom. In the first class of compounds the C-E-C bond angle decreases with the size of the atom E. In addition the magnitude of the quadrupolar coupling constant, chi, varies with E, ranging from 160 kHz for E = O to 190 kHz for E = Te. This is in qualitative agreement with molecular orbital calculations of the electric field gradients. At low temperatures the H-2 NMR spectrum of C6H5N(CH3)3+I- Can only be rationalized with a model in which trimethyl rotation is faster than methyl rotation. The H-2 NMR of ring (predominantly ortho and para)-deuterated C6H5N(CH3)3+I- is consistent with rapid n-site (n greater-than-or-equal-to 3) rotation of the phenyl ring above 390 K. Below 390 K spectra characteristic of two-site, 180-degrees, flips of the phenyl ring are observed. Below 280 K the motion of the phenyl ring is in the rigid lattice limit.PT: J; CR: COLLINS MJ, 1988, J AM CHEM SOC, V110, P8583 DAVIS JH, 1976, CHEM PHYS LETT, V42, P390 DAVIS JH, 1991, ISOTOPES PHYSICAL BI, V3 EINSTEIN F, 1967, J CHEM SOC A, P2018 FECHER G, 1986, BER BUNSEN PHYS CHEM, V90, P10 FISCH MJ, 1990, GAUSSIAN 90 FURUKAWA Y, 1989, Z NATURFORSCH A, V44, P112 GREENFIELD MS, 1987, J MAGN RESON, V72, P89 GRIFFIN RG, 1981, METHOD ENZYMOL, V72, P108 GRUWEL MLH, 1990, Z NATURFORSCH A, V45, P55 HAYS GR, 1978, THESIS U E ANGLIA HIROKAWA K, 1988, Z NATURFORSCH A, V43, P187 HOPE H, 1966, ACTA CRYSTALLOGR, V20, P610 IKEDA R, 1989, J PHYS CHEM-US, V93, P7315 ISHIDA H, 1989, Z NATURFORSCH A, V44, P741 ISHIDA H, 1991, Z NATURFORSCH A, V46, P265 KOBAYASHI A, 1988, Z NATURFORSCH A, V43, P233 KORFER M, 1989, Z NATURFORSCH A, V44, P1177 KRUG V, 1989, ACTA CRYSTALLOGR C, V45, P2022 LAMBERT JB, 1968, J AM CHEM SOC, V90, P1349 MANTSCH HH, 1977, PROG NUCL MAG RES SP, V11, P211 MOOIBROEK S, 1988, CAN J CHEM, V66, P734 MOOIBROEK S, 1989, CAN J CHEM, V63, P2926 OLAH GA, 1984, J ORG CHEM, V49, P2112 PALMER MH, 1986, Z NATURFORSCH A, V41, P1471 PALMER MH, 1990, Z NATURFORSCH A, V45, P357 PENNER GH, 1992, CAN J CHEM, V70, P2420 PENNER GH, 1992, J PHYS CHEM-US, V96, P5121 PETTITT BA, 1981, J MAGN RESON, V44, P508 RATCLIFFE CI, 1979, FARADAY DISC CHEM SO, V13, P142 RATCLIFFE CI, 1986, CAN J CHEM, V64, P1348 RATCLIFFE CI, 1990, J PHYS CHEM-US, V94, P152 RIPMEESTER JA, 1987, DYNAMICS MOL CRYSTAL SCHWARTZ LJ, 1983, J PHYS CHEM-US, V87, P4457 SPIESS HW, 1985, ADV POLYM SCI, V66, P23 THOMAS AF, 1971, DEUTERIUM LABELING O TSAU J, 1970, CAN J CHEM, V48, P717 VEGA AJ, 1987, J CHEM PHYS, V86, P1803 WATKINS MI, 1982, J AM CHEM SOC, V104, P2365 WITTEBORT RJ, 1987, J CHEM PHYS, V86, P5411 XU Q, 1991, Z NATURFORSCH A, V46, P240 ZUCCARO DE, 1959, Z KRISTALLOGR, V112, P26; NR: 42; TC: 6; J9: CAN J CHEM; PG: 10; GA: LC512Source type: Electronic(1

    Refined open intersection numbers and the Kontsevich-Penner matrix model

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    A study of the intersection theory on the moduli space of Riemann surfaces with boundary was recently initiated in a work of R. Pandharipande, J.P. Solomon and the third author, where they introduced open intersection numbers in genus 0. Their construction was later generalized to all genera by J.P. Solomon and the third author. In this paper we consider a refinement of the open intersection numbers by distinguishing contributions from surfaces with different numbers of boundary components, and we calculate all these numbers. We then construct a matrix model for the generating series of the refined open intersection numbers and conjecture that it is equivalent to the Kontsevich-Penner matrix model. An evidence for the conjecture is presented. Another refinement of the open intersection numbers, which describes the distribution of the boundary marked points on the boundary components, is also discussed

    The physics of golf: The optimum loft of a driver

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    The impact between a clubhead and a golf ball along with the resulting flight and run of the ball after landing is considered. The clubhead loft which results in the maximum drive distance and its dependence on the initial clubhead speed is then determined.https://viuspace.viu.ca/bitstream/handle/10613/2821/Penner.Loft.pdf?sequence=3Copyright 2001 American Association of Physics Teachers (AIP Publishing). This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared as: Penner, A.R. (2001). "The physics of golf: The optimum loft of a driver". American Journal of Physics, 69(5), 563-568, and may be found at http://dx.doi.org/10.1119/1.134416

    MF2269

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    Original author: Karen P. Penner, Ph.D. Professor Emeritus Food Science Institute.Fadi Aramouni, Karen Blakeslee and Karen P. Penner. Microorganisms and foodborne illness, Kansas State University, January 2006
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