Infinitely Long Research Articles

Large-Scale Peculiar Velocity Field Due to Infinitely Long Cosmic Strings

view Abstract Citations (9) References (26) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Large-Scale Peculiar Velocity Field Due to Infinitely Long Cosmic Strings Hara, Tetsuya ; Maehoenen, Petri ; Miyoshi, Shigeru Abstract We investigate the large-scale peculiar velocity field of dark matter due to the wakes formed by infinitely long cosmic strings. The peculiar velocity due to such strings, which passed through at the stage 1 + ζi is solved analytically for one-dimensional case, including the contribution of the background radiation density. The three dimensional large-scale peculiar velocities will be the vector sum of such velocities, and the root mean square (rms) peculiar velocities can be estimated. The large peculiar velocity of the Local Group (≃600 km s-1) and the distribution of peculiar velocities for nearby 20 clusters of galaxies can be explained by adopting the parameter Gμβγ(n)1/2 (4 ± 1) × 10-6, where μ and β are the line density and the velocity of a cosmic string in units of c = 1 and γ = (1 - β2)-1/2. The parameter n denotes the number of infinitely long cosmic strings per horizon passed through in each e-time expansion of the universe. Publication: The Astrophysical Journal Pub Date: October 1993 DOI: 10.1086/173176 Bibcode: 1993ApJ...415..445H Keywords: COSMOLOGY: THEORY; COSMOLOGY: DARK MATTER; COSMIC STRINGS; GALAXIES: DISTANCES AND REDSHIFTS; COSMOLOGY: LARGE-SCALE STRUCTURE OF UNIVERSE full text sources ADS | data products SIMBAD (1)

On the inhomogeneity of dark matter and luminous objects induced by infinitely long cosmic strings

view Abstract Citations (16) References (44) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the Inhomogeneity of Dark Matter and Luminous Objects Induced by Infinitely Long Cosmic Strings Hara, Tetsuya ; Mahonen, Petri ; Miyoshi, Shigeru Abstract The inhomogeneity of cold dark matter due to the wake formed by an infinitely long straight cosmic string is investigated. The 1D motion of cold dark matter induced by infinitely long cosmic strings is solved analytically and numerically, and the homogeneous MW background radiation and the thickness of the wake are also estimated. The mass of the fragments within the wake is estimated from the thickness. The possibility of explaining the distribution and the change of number density of objects such as the Lyman-alpha clouds through such a dark matter fragmentation and clustering is discussed. The formation of luminous objects is also studied. The reionization of the universe and the formation of globular clusters, galaxies, and objects in the voids are addressed as well. Publication: The Astrophysical Journal Pub Date: July 1993 DOI: 10.1086/172897 Bibcode: 1993ApJ...412...22H Keywords: Computational Astrophysics; Dark Matter; Inhomogeneity; Luminosity; String Theory; Equations Of Motion; Lyman Alpha Radiation; Relic Radiation; Astrophysics; COSMOLOGY: THEORY; COSMOLOGY: DARK MATTER; COSMIC STRINGS; COSMOLOGY: LARGE-SCALE STRUCTURE OF UNIVERSE full text sources ADS |

Effect of Rib Eccentricity on Infinitely Long Cylindrical Shells

In the present technical note, the stresses and displacements are determined in an infinitely long circular cylindrical shell reinforced by a single frame. In the solution, the shell and the ring are considered separately. External load and interaction force arising from separation are expressed as harmonic series, namely Fourier series. A unit displacement matrix is obtained for the ring and as well as for the shell under the interaction forces. Imposing the compatibility conditions, the amplitudes of the unknown harmonics are obtained. The solution technique presented can be used for the shell having different boundary conditions and different external load configurations.

Rossby Wave Scattering by a Meridional Line Barrier in an Infinitely Long Zonal Channel

The interaction of a prescribed channel mode Rossby wave with a meridional line barrier situated in an infinitely long, zonally aligned channel is considered. An analytical solution for the scattered field is presented for a barrier that spans half the channel width. The solution is obtained using the Wiener-Hopf technique. For other barrier widths the scattered field is determined by numerically solving the Rossby wave equation. In all cases the scattered field is described in terms of propagating cross-channel eigenmodes, together with an infinite number of evanescent modes. The solutions are interpreted in terms of the energy density and energy flux associated with each scattered field eigenmode. Mode one dominates the energy balance in the scattered field for most barrier widths in response to a mode-one incident wave. However, for a particular range of barrier widths the second cross-channel mode is found to be the most energetic. The energy density of each scattered field mode is larger on the eastern side of the barrier than on the west. The implication of the model results for Rossby wave propagation in the Southern Ocean are examined.

Torricelli's Infinitely Long Solid and Its Philosophical Reception in the Seventeenth Century

Previous articleNext article No AccessTorricelli's Infinitely Long Solid and Its Philosophical Reception in the Seventeenth CenturyPaolo Mancosu and Ezio VailatiPaolo Mancosu Search for more articles by this author and Ezio Vailati Search for more articles by this author PDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by Isis Volume 82, Number 1Mar., 1991 Publication of the History of Science Society Article DOIhttps://doi.org/10.1086/355637 Views: 12Total views on this site Citations: 16Citations are reported from Crossref Copyright 1991 History of Science Society, Inc.PDF download Crossref reports the following articles citing this article:Gregorio Baldin The Paradoxes of Matter, (Apr 2020): 153–183.https://doi.org/10.1007/978-3-030-41414-6_4Jorge Alberto Molina Catholicism and Mathematics in the Early Modernity, (Jan 2019): 47–67.https://doi.org/10.1007/978-3-030-01617-3_3Andrew Leahy The Method of Archimedes in the Seventeenth Century, The American Mathematical Monthly 125, no.33 (Feb 2018): 267–272.https://doi.org/10.1080/00029890.2018.1413857W. Robert Brown Power law transfer matrix and the acoustic impedance of Gabriel's Horn, The Journal of the Acoustical Society of America 142, no.33 (Sep 2017): 1384–1389.https://doi.org/10.1121/1.5001674Chanakya Wijeratne, Rina Zazkis On Painter’s Paradox: Contextual and Mathematical Approaches to Infinity, International Journal of Research in Undergraduate Mathematics Education 1, no.22 (May 2015): 163–186.https://doi.org/10.1007/s40753-015-0004-zPhilip Beeley Leibniz, Philosopher Mathematician and Mathematical Philosopher, (Apr 2015): 23–48.https://doi.org/10.1007/978-94-017-9664-4_2Antoni Malet, Marco Panza Wallis on Indivisibles, (Jan 2015): 307–346.https://doi.org/10.1007/978-3-319-00131-9_14Vincent Coll, Michael Harrison Gabriel's Horn: A Revolutionary Tale, Mathematics Magazine 87, no.44 (Dec 2017): 263–275.https://doi.org/10.4169/math.mag.87.4.263J. B. Shank What Exactly Was Torricelli’s “Barometer?”, (Aug 2012): 161–195.https://doi.org/10.1007/978-94-007-4807-1_7Thomas Sonar Indivisible und Infinitesimale in der Renaissance, (Apr 2011): 157–233.https://doi.org/10.1007/978-3-642-17204-5_5PAOLO MANCOSU MEASURING THE SIZE OF INFINITE COLLECTIONS OF NATURAL NUMBERS: WAS CANTOR’S THEORY OF INFINITE NUMBER INEVITABLE?, The Review of Symbolic Logic 2, no.0404 (Dec 2009): 612.https://doi.org/10.1017/S1755020309990128Paolo Palmieri Radical mathematical Thomism: beings of reason and divine decrees in Torricelli’s philosophy of mathematics, Studies in History and Philosophy of Science Part A 40, no.22 (Jun 2009): 131–142.https://doi.org/10.1016/j.shpsa.2009.03.005Herbert Breger Mathematik und Religion in der frühen Neuzeit, Berichte zur Wissenschaftsgeschichte 18, no.33 (Jan 1995): 151–160.https://doi.org/10.1002/bewi.19950180304Siegmund Probst Infinity and creation: the origin of the controversy between Thomas Hobbes and the Savilian professors Seth Ward and John Wallis, The British Journal for the History of Science 26, no.33 (Jan 2009): 271–279.https://doi.org/10.1017/S0007087400031058Paolo Mancosu Aristotelian logic and euclidean mathematics: Seventeenth-century developments of the quaestio de certitudine mathematicarum, Studies in History and Philosophy of Science Part A 23, no.22 (Jun 1992): 241–265.https://doi.org/10.1016/0039-3681(92)90034-4 John Neu Current Bibliography of the History of Science and Its Cultural Influences, 1991, Isis 82 (Oct 2015): 1–271.https://doi.org/10.1086/356021

Repulsive Interaction between Unipolar Fluxons with Ohmic Loss and Bias Current in Infinitely Long Josephson Junction

The effect of perturbations (constant bias current and Ohmic resistivity) on the motion of two fluxons with identical polarity are investigated by calculating the time evolution of soliton parameters which appear in the two-fluxon solution of unperturbed sine-Gordon equation. It is demonstrated that repulsive force significantly affects the short time behavior of the soliton parameters, and gives rise to a characteristic overshoot structure in this time region. It is also shown that the long time behavior of soliton parameters is dominated by the external perturbations and relative velocity of two fluxon peaks tends to zero in this limit.

Scalar Homomorphisms on Algebras of Infinitely Long Polynomials with an Application to Automatic Continuity Theory

Scalar Homomorphisms on Algebras of Infinitely Long Polynomials with an Application to Automatic Continuity Theory

Asymptotic Methods for an Infinitely Long Step Slider Squeeze Bearing

The step slider squeeze bearing is analyzed by a combination of singular perturbation techniques and numerical procedures. It is assumed that the bearing number associated with the trailing section is large and that the amplitude of the squeezing motion is small. There is no restriction on the film clearance or the jump in the film thickness at the step, so the bearing number associated with the leading section of the bearing need not be large. Results for the steady-state load are given for several geometries. Stability characteristics of different geometries are discussed.

Determination of the Integration Constant for Squeeze Films in Infinitely Long Journal Bearings

The complete film solution for the squeeze film in an infinitely long journal bearing contains an arbitrary constant. When only positive pressure regions are retained, this constant influences the load capacity. Several different values have been used for this constant. Its value is determined here so that the infinitely long journal bearing is the limiting case of the finite journal bearing.

Shear Buckling of Orthogonally Stiffened, Infinitely Long Simply-Supported Plates–Stiffeners having Torsional and Flexural Rigidities

SummaryThe paper presents a solution to the buckling under shear stress of infinitely long plates orthogonally reinforced by stiffeners having both flexural and torsional rigidity. Each family of stiffeners is assumed to consist of equally spaced identical stiffeners. Numerical results are given for the case of a plate with transverse stiffeners and a central longitudinal stiffener for the following three cases: (i)Transverse and longitudinal stiffeners of closed tubular cross-section.(ii)Transverse stiffeners of closed tubular cross-section, longitudinal stiffeners possessing only flexural rigidity.(iii)Transverse stiffeners possessing only flexural rigidity, the longitudinal stiffeners being of closed tubular cross-section.Relationships between the buckling stress parameter K and the flexural rigidity parameter γ of the stiffeners are presented for each of the three cases when the identical transverse stiffeners are placed at spacings of d, 0·8d and 0·5d, where d is the depth of the webplate.Case (i) has provided values of the buckling coefficient K for finite rectangular plates clamped on three edges and simply-supported on the remaining edge.

Closure to “Discussions of ‘Asymptotic Methods for an Infinitely Long Slider Squeeze-Film Bearing’” (1968, ASME J. Lubr. Technol., 90, pp. 637–639)

Closure to “Discussions of ‘Asymptotic Methods for an Infinitely Long Slider Squeeze-Film Bearing’” (1968, ASME J. Lubr. Technol., 90, pp. 637–639)

Asymptotic Methods for an Infinitely Long Slider Squeeze-Film Bearing

The application of the techniques of singular perturbation theory (boundary layer theory) to several problems in gas bearing lubrication is discussed. The leading terms in asymptotic expansions for the pressure are obtained for the cases: A slider bearing with large bearing number, a squeeze-film thrust bearing with large squeeze number, and a combined slider squeeze-film bearing with large bearing number and/or large squeeze number. For the latter problem it is necessary to distinguish several cases depending upon the relative rate at which the bearing number and squeeze number approach infinity

An Approximate Solution for the Infinitely Long, Gas Lubricated Slider Bearing

The only exact solution for the infinitely long, gas-lubricated slider bearing is the one obtained by Harrison [1] for the plane wedge isothermal film. The resultant formulas for the pressure distribution and load-carrying capacity are complicated and therefore quite cumbersome in numerical design calculations. In the analysis to follow, a simplified, approximate solution is developed which can be applied to any infinitely long slider geometry.

Nucleation Field of an Infinitely Long Elliptical Cylinder

The system of Brown's linear equations is rigorously solved for an infinitely long elliptical ferromagnetic cylinder magnetized to saturation. The problem is treated when the applied magnetic field and the easy direction of magnetization are assumed to be along the axis.

Theoretical Work on the Elastohydrodynamic Lubrication of an Infinitely Long Journal Bearing

Theoretical Work on the Elastohydrodynamic Lubrication of an Infinitely Long Journal Bearing

Finite Deformations under Pressurization in an Infinitely Long, Thick-Walled, Elastic Cylinder Ideally Bonded to a Thin Elastic Case

Using the tensor-analytic approach of Green and Zerna, an expression relating the internal pressure in an infinitely long, hollow, elastic cylinder with a thin elastic casing to the geometry of the cylinder in the strained and unstrained states, has been derived. Assumption of incompressibility is made. The strains in the elastic case are assumed to be infinitesimal, whereas, as long as they are consistent with the above requirement, no restriction is placed on the magnitude of the strains in the cylinder. The result is specialized for the case of a Mooney material for which expressions of stresses and strains in the cylinder are also presented. In the latter case, an additional restriction is placed on the magnitude of the strains in the cylinder, namely, that of being within the limits of validity of the Mooney expression for the strain energy function. The results of the analysis are applied in the solution of a practical problem, and in this case, the discrepancies between finite and infinitesimal strain theories are discussed.

Scattering of Electromagnetic Radiation by Infinitely Long, Hollow, and Coated Cylinders

The scattering efficiency and backward component of the scattered flux have been calculated for infinitely long, hollow cylinders with real indices of refraction of 1.5, 2.0, and 2.5; ratios of inner diameter to outer diameter of 0.0, 0.01, 0.10, 0.50, 0.90, and 0.99; and outer circumference to wavelength ratios of 0.12(0.02) 6.00. Values were obtained for the cases of incident radiation parallel polarized and perpendicularly polarized. A generalized computer subroutine has been made available for the calculation of the amplitude functions, as well as the above functions, for any arbitrary values of the parameters.

Input Admittance of Infinitely Long Dipole Antennas Driven from Coaxial Lines

For an infinitely long dipole antenna driven from a coaxial line, the reflection coefficient and hence the apparent terminal admittance are determined approximately when the radii of the coaxial line are small compared with the wavelength. This result is useful because the differences of admittances for antennas with identical geometries near the driving point are less sensitive to the driving condition and hence can be found approximately by many existing theories.

Nucleation Fields of an Infinitely Long Square Ferromagnetic Prism

When a homogeneous ferromagnetic specimen possesses an equilibrium state of uniform magnetization, the equilibrium becomes unstable at a certain (usually negative) value of the field component along the magnetization. This ``nucleation field'' is known for a longitudinally magnetized circular cylinder; the mode of deviation from the initial state is ``magnetization curling'' at large diameters and, to a good approximation, ``rotation in unison'' at small diameters. Values for square cross section would be useful for interpreting measurements on iron whiskers; but here the modes are more complicated, and rigorous solution would be difficult. The present calculation establishes upper and lower bounds to the nucleation fields for the modes described. The term that must be added to the crystalline-anisotropy term is determined to within a factor π/2 for ``rotation in quasi-unison'' and to within a factor 2 for curling; the corresponding values for a cylinder of the same cross section lie at the upper bound for the former mode and slightly above the lower bound for the latter; the critical thickness for change of mode is between 0.85 and 1.51 times the critical diameter for a cylinder.

Shear Buckling of Clamped and Simply-Supported Infinitely Long Plates Reinforced by Closed-Section Transverse Stiffeners

SummaryThe paper presents a solution to the buckling of infinitely long plates when they are reinforced by transverse stiffeners possessing both torsional and flexural rigidity. The cases of both edges being clamped and simply-supported are dealt with. Numerical results are presented for the ratio of torsional rigidity to flexural rigidity as obtained with a thin-walled circular tube. When the stiffeners are completely rigid, in which case the individual panels are clamped along the transverse edges, the results obtained are in agreement with existing solutions for isolated rectangular plates.