• Title/Summary/Keyword: gravitational waves

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Gravitational Instability of Rotating, Vertically-Stratified, Polytropic Disks

  • Kim, Jeong-Gyu;Kim, Woong-Tae;Hong, Seung-Soo
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.2
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    • pp.111.2-111.2
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    • 2011
  • While many astrophysical disks are vertically stratified and obey a polytropic equation of state, most studies on gravitational instability (GI) of flattened systems consider isothermal, razor-thin disks by taking vertical averages of disk properties. We investigate local GI of rotating pressure-confined polytropic disks with resolved vertical stratification by performing linear stability analysis. We find that the GI of vertically-stratified disks is in general a combination of conventional razor-thin Jeans modes and incompressible modes. The incompressible modes that dominate in the limit of the maximal disk compression require surface distortion and are an unstable version of terrestrial water waves. Disks with a steeper equation of state are found to be more Jeans unstable because they tend to have a smaller vertical scale height as well as a steeper temperature gradient corresponding to lower pressure support. GI depends more sensitively on the vertical temperature than density distribution. The density-weighted, harmonic mean, rather than the simple mean, of the adiabatic sound speed well describes the dispersion relation of horizontal modes, and thus is appropriate in the expression for Toomre Q stability parameter of razor-thin disks. We generalize Q into vertically-stratified disks, and discuss astrophysical application of our work.

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Deep Learning Model on Gravitational Waves of Merger and Ringdown in Coalescence of Binary Black Holes

  • Lee, Joongoo;Cho, Gihyuk;Kim, Kyungmin;Oh, Sang Hoon;Oh, John J.;Son, Edwin J.
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.1
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    • pp.46.2-46.2
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    • 2019
  • We propose a deep learning model that can generate a waveform of coalescing binary black holes in merging and ring-down phases in less than one second with a graphics processing unit (GPU) as an approximant of gravitational waveforms. Up to date, numerical relativity has been accepted as the most adequate tool for the accurate prediction of merger phase of waveform, but it is known that it typically requires huge amount of computational costs. We present our method can generate the waveform with ~98% matching to that of the status-of-the-art waveform approximant, effective-one-body model calibrated to numerical relativity simulation and the time for the generation of ~1500 waveforms takes O(1) seconds. The validity of our model is also tested through the recovery of signal-to-noise ratio and the recovery of waveform parameters by injecting the generated waveforms into a public open noise data produced by LIGO. Our model is readily extendable to incorporate additional physics such as higher harmonics modes of the ring-down phase and eccentric encounters, since it only requires sufficient number of training data from numerical relativity simulations.

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A Nonlinear Theory for Wave Resistance and Squat of a Slender Ship Advancing Near the Critical Speed in Restricted Water (제한수로에서 임계속도로 항진하는 선박의 조파저항, 침하 및 종경사에 대한 비선형 해석)

  • Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.4
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    • pp.3-13
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    • 1989
  • In recent towing tank experiments, it has been observed that a ship moving near the critical speed $\sqrt{gh}$(g=gravitational acceleration, h=water depth) radiates solitons upstream in an almost periodic manner. As a ,consequence, the ship experiences considerable changes in resistance, trim and sinkage, or better known as squat. Mei and Choi(1987) developed a nonlinear theory for a slender ship by using the method of matched asymptotic expansions. For a certain class of channel width and ship slenderness, they found that the waves generated can be described by an inhomogeneous Korteweg-de Vries(KdV) equation. The leading-order solution properly predicts solitons propagating upstream, but it fails to render three-dimensional waves in the wake. In this paper a new approach has been made by choosing a different class of channel width and ship slenderness. The wave equation in the farfield turns out to be a homogeneous Kadomtsev-Petviashvili(KP) equation, which predicts solitons upstream and three-dimensional waves in the wake. Numerical results for the wave resistance, sinkage and trim reflect the experimentally identified phenomena.

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Effects of Black Hole Mass Spectrum in Dynamics of Globular Clusters

  • Park, Dawoo;Kim, Chunglee;Lee, Hyung Mok;Bae, Yeong-Bok
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.80-80
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    • 2014
  • Dynamics of a globular cluster (GC) is dominated by behaviors of high-mass components such as neutron stars or black holes (BHs). Massive components in a cluster are segregated into the cluster core and some of them are ejected by dynamical interactions. In this study, we perform N-body simulations of GCs adapting two BH mass components, $10M_{\odot}$ and $20M_{\odot}$. Previous studies which mostly assume single-mass BHs suggested a rapid collapsing and escaping of BHs. A cluster with a two-component BH mass spectrum, however, retains a large fraction of $10M_{\odot}$ BHs longer. In addition to their roles in cluster dynamics, massive components in binaries are one of important sources of gravitational waves (GWs). We investigate properties of BH binaries escaped from the cluster and discuss their implications for GW detection.

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"The Whale Says Hello Universe!"

  • Sabiu, Cristiano G.;Yoo, Jaewon
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.2
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    • pp.48.1-48.1
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    • 2018
  • We report on a series of science articles presented in the Children's magazine 고래가그랬어. The monthly articles (appearing since 2016) highlight current issues in Physics and Astronomy with particular emphasis on science being conducted in Korea. Reporting is performed by interviewing experts in their respective fields. In an effort to encourage children to envisage themselves as scientists, interviews are taken predominantly from Korean early-career researchers. Gender balance is obtained through a careful selection of interviewees ensuring that children are exposed to a broad cross-section of science researchers. This series has introduced children to the 1st detection of Gravitational Waves, the KMTnet telescope system, the Korean Very Long Baseline Interferometric Network, KGMT, IBS Axion experiments, and many other experiments and discoveries.

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Horizon Run 5 Black Hole Populations and Pulsar Timing Array

  • Kim, Chunglee;Park, Hyo Sun;Kim, Juhan;Lommen, Andrea
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.45.2-45.2
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    • 2021
  • Merging of two supermassive black holes would generate gravitational waves that can be detected by the Pulsar Timing Array (PTA) in the nHz band. In order to assess the plausibility of GW detection with PTA and to develop the data analysis scheme, it is important to understand the underlying properties of black holes and black hole binaries. In this work, we present mass and redshift distributions of black hole mergers using the Horizon Run 5 (HR5) data and discuss their implications for GW detection. We find a general conjecture about the black hole merger tree is true with the Horizon Run 5. For example, a) relatively lighter black holes merge at higher redshifts and b) binary mergers do contribute to the formation of more massive black holes toward low redshifts. We also present our plan to use the black hole properties extracted from the HR5 data in order to generate simulated GW signals to be injected into actual PTA data analysis pipelines. Mass and distance obtained from the HR5 would be key ingredients to generate a more realistic PTA source data set.

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Construction of Nano-meter Scale Linear Translation System (직선 이동용 나노 미세 이동장치의 제작)

  • Jung, Goo-Eun;Kahng, Se-Jong
    • Journal of the Korean Vacuum Society
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    • v.15 no.5
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    • pp.512-517
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    • 2006
  • A reliable linear translation system was constructed. The system has six piezo legs, attached to a main body, holding a hexagonal sapphire rod. The sapphire rod moves either forward or backward with the sequential motion of the piezo legs, driven by characteristic electric voltage waves. The translational system was tested in vertical direction. The speed of the sapphire rod was turned out to be constant during several mm travel. The slowest upward speed was measured to be ${\sim}1.7{\times}10^{-6}m/s$, yielding ${\sim}28.3nm/step$, while the slowest upward speed was ${\sim}3.7{\times}10^{-6}m/s$, with ${\sim}61.7nm/step$, due to gravitational force. The velocity increases linearly, as the amplitude of the voltage waves increases. The linear translation system will be used as a coarse approach part for a scanning tunneling microscope.

GAS-DYNAMICAL FRICTION OF A PERTURBER MOVING ON A CIRCULAR ORBIT

  • Kim, Hyo-Sun;Kim, Woong-Tae
    • Journal of The Korean Astronomical Society
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    • v.40 no.4
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    • pp.179-182
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    • 2007
  • Dynamical friction plays an important role in reducing angular momenta of objects in orbital motions. While astronomical objects usually follow curvilinear orbits, most previous studies focused on the linear-trajectory cases. Here, we present the gravitational wake due to, and dynamical friction on, a perturber moving on a circular orbit in a uniform gaseous medium using a semi-analytic method. The circular orbit causes the density wakes to bend along the orbit into asymmetric configurations, resulting in the drag forces in both opposite (azimuthal) and lateral (radial) directions to the perturber motion, although the latter does not contribute to the orbital decay much. For a subsonic perturber, the bending of a wake is only modest and the resulting drag force in the opposite direction is remarkably similar to the linear-trajectory counterpart. On the other hand, a supersonic perturber is able to overtake its own wake, possibly multiple times, creating a high-density trailing tail. Despite the dramatic changes in the wake morphologies, the azimuthal drag force is in surprisingly good agreement with the formulae of Ostriker for the linear-trajectory cases, provided $V_pt=2R_p,\;where\;V_p\;and\;R_p$ are the velocity and orbital radius of the perturber, respectively.

Spiral Waves and Shocks in Discs around Black Holes: Low Compressibility and High Compressibility Models

  • LANZAFAME GIUSEPPE;BELVEDERE GAETANO
    • Journal of The Korean Astronomical Society
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    • v.34 no.4
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    • pp.313-315
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    • 2001
  • Some authors have concluded that spiral structures and shocks do not develop if an adiabatic index $\gamma$ > 1.16 is adopted in accretion disc modelling, whilst others have claimed that they obtained well defined spirals and shocks adopting a $\gamma$ = 1.2 and a $M_2/ M_1$ = 1 stellar mass ratio. In our opinion, it should be possible to develop spiral structures for low compressibility gas accretion discs if the primary component is a black hole. We considered a primary black hole of 8M0 and a small secondary component of 0.5M$\bigodot$ to favour spiral structures formations and possible spiral shocks via gas compression due to a strong gravitational attraction. We performed two 3D SPH simulations and two 2D SPH simulations and characterized a low compressibility model and a high compressibility model for each couple of simulations. 2D models reveal spiral structures existence. Moreover, spiral shocks are also evident in high compressibility 2D model at the outer disc edge. We believe that we could develop even well defined spiral shocks considering a more massive primary component.

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Compact Binaries Ejected from Globular Clusters as GW Sources

  • Bae, Yeong-Bok;Kim, Chunglee;Lee, Hyung Mok
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.57.2-57.2
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    • 2013
  • Based on N-body simulations, we find out that significant fraction of dynamically formed BH-BH (10 $M_{\odot}$ and NS-NS (1.4 $M_{\odot$ ecah) binaries are ejected from globular clusters. About 30 percent of compact stars are ejected in the form of binary. The merging time of ejected binary depends on the velocity dispersion of globular cluster. Some of ejected binaries have merging time-scales shorter than Hubble time and are expected to produce gravitational waves that can be detectable by the advanced ground-based interferometers. The merger rates of ejected BH-BH and NS-NS binaries per globular cluster are estimated to be 3.5 and 17 per Gyr, respectively. Assuming the spatial density of globular clusters as 8.4 $h^3$ clusters $Mpc^{-3}$ and extrapolating to the horizon distance of the advanced LIGO-Virgo network, we expect the detection rates solely attributed to BH-BH and NS-NS with cluster origin are to be 42 and 1.7 $yr^{-1}$, respectively. Besides, we find out that BH-NS binary ejection hardly occurs in globular clusters and dynamically formed compact binaries may possibly be the source of short GRBs whose locations are far from host galaxies.

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