• Title/Summary/Keyword: Symmetry breaking

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A study on measurements of local ice pressure for ice breaking research vessel "ARAON" at the Amundsen Sea

  • Kwon, Yong-Hyeon;Lee, Tak-Kee;Choi, Kyungsik
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.3
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    • pp.490-499
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    • 2015
  • In this study, a local ice pressure prediction has been conducted by using measured data from two ice breaking tests that was conducted for a relatively big ice floe at Amundsen Sea in the Antarctica from January 31 to March 30 2012. The symmetry of load was considered by attaching strain gauges on the same sites inside the shell plating of ship at the port and the starboard sides in the bow thrust room. Using measured strain data, after the ice pressure was converted by the influence coefficient method and the direct method, the two values were found to be similar.

LOCAL AND NORM BEHAVIOR OF BLOWUP SOLUTIONS TO A PARABOLIC SYSTEM OF CHEMOTAXIS

  • Senba, Takasi;Suzuki, Takashi
    • Journal of the Korean Mathematical Society
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    • v.37 no.6
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    • pp.929-941
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    • 2000
  • We study a parabolic system of chemotaxis introduced by E.F. Keler and L.A. Segel. First, norm behaviors of the blow-up solution are proven. Then some kind of symmetry breaking and the concentration toward the boundary follow when the L$^1$norm of the initial value is less than 8$\pi$. Meanwhile a method of rearrangement is porposed toprove an inequality of Trudinger-Moser's type.

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Oscillatory modes generated by Hopf bifurcations in coupled four oscillators

  • Kitajima, Hiroyuki;Kawakami, Hiroshi
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1634-1637
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    • 2002
  • We examine the oscillatory modes generated by the Hopf bifurcations of non-origin equilibrium points in the four-coupled oscillator system. The Hopf bifurcations of the equilibrium points and the generated oscillatory modes are classified. By numerical bifurcation analysis we observe various interesting synchronized states caused by symmetry-breaking bifurcations.

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Design of Hierarchical Ring-Mesh Optical Networks Considering Cabling Cost (케이블 비용을 고려한 링메쉬 구조의 광통신망 설계)

  • Han, Jung-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.5
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    • pp.1716-1729
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    • 2010
  • In this paper, we deal with a hierarchical ring-mesh optical network design problem. The objective is to minimize the total cost of optical add-drop multiplexers (OADMs) handling intra-ring traffic, optical cross-connects (OXCs) handling inter-ring traffic, and cabling cost among OADMs and among OXCs, while satisfying intra-ring and inter-ring capacities. We develop an integer programming (IP) formulation for the problem and devise some cutting planes that partially break the symmetry of rings. Dealing with the inherent computational complexity of the problem, we devise an effective heuristic procedure that finds a good quality feasible solution within reasonable computing times. Computational results demonstrate the efficacy of the proposed solution procedure; the developed symmetry breaking inequalities significantly reduce the computing time to find an optimal solution for small size problems, and the heuristic procedure finds a better feasible solution than that CPLEX, a commercial optimization software, finds for large size problems.

Drirect Numerical Simulation of Transitional Separated Flows Part I:Primary Instability (천이박리유동의 직접수치모사 Part I:주 불안정성)

  • Yang, Gyeong-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.9
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    • pp.2965-2972
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    • 1996
  • Transitional flow in an obstructed channel is investigated using numerical simulation. Two-dimensional thin obstacles are mounted symmetrically in the vertical direction and periodically in the streamwise direction. Flow separation occurs at the tip of the sharp obstacles. Depending on the Reynolds number, the flow undergoes Hopf bifurcation as the primary instability leading to a two-dimensional unsteady periodic solution. At higher Reynolds numbers, the unsteady solution exhibits a symmetry-breaking bifurcation which results in an unsteady asymmetric solution. The results are compared with experiments currently available, and show a good agreement.

Antisymmetric S-curve Profile for Fast and Vibrationless Motion (고속 저진동 운동을 위한 비대칭 S-커브 프로파일)

  • Rew Keun-Ho;Kwon Jeong-Tae;Park Kyoung-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.10
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    • pp.1012-1017
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    • 2006
  • By breaking the symmetry of the velocity profile in the S-curve, we developed a fast starting and smooth ending motion profile, named asymmetric S-curve(AS-curve). The problem for generating motion profile is formulated, and the algorithm for the AS-curve is derived and the flow chart of the AS-curve is illustrated. By various simulations, the derived algorithm is tested and shows the validity. This AS-curve can be applied to the high precision machines where fast and vibrationless motion is required in the near future.

Quantum Spin Hall Effect And Topological Insulator

  • Lee, Ilyoung;Yu, Hwan Joo;Lee, Won Tae
    • Proceeding of EDISON Challenge
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    • 2014.03a
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    • pp.516-520
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    • 2014
  • Fractional quantum Hall Effect (FQSH) is one of most fundamental issues in condensed matter physics, and the Topological insulator becomes its prominent applications. This article reviews the general frameworks of these development and the physical properties. FQSH states and topological insulators are supposed to be topologically invariant under the minor change of geometrical shape or internal impurities. The phase transitions involved in this phenomena are known not to be explained in terms of symmetry breaking or Landau-Ginsburg theory. The new type of phase transitions related to topological invariants has acquired new name - topological phase transition. The intuitive concepts and the other area having same type of phase transitions are discussed.

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PRIMORDIAL BLACKHOLE AS A SEED FOR THE COSMIC MAGNETIC FIELD

  • LA DAIL;PARK CHANGBOM
    • Journal of The Korean Astronomical Society
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    • v.29 no.2
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    • pp.83-91
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    • 1996
  • We present a model that rotating primordial blackholes(PBHs) produced at the end of inflation generate the random, non-oriented primordial magnetic field. PBHs are copiously produced as the Universe completes the cosmic phase transition via bubble nucleation and tunneling processes in the extended inflation hypothesis. The PBHs produced acquire angular momentum through the mutual tidal gravitational interaction. For PBHs of mass less than 1013g, one can show that the evaporation (photon) luminosity of PBHs exceeds the Eddington limit. Thus throughout the lifetime of the rotating PBH, radiation flow from the central blackhole along the Kerr-geodesic exerts torque to ambient plasma. In the process similar to the Bierman's battery mechanism electron current reaching up to the horizon scale is induced. For PBHs of Grand Unified Theories extended inflation with the symmetry breaking temperature of $T_{GUT}\;\~\;10^{10}$ GeV, which evaporate near decoupling, we find that they generate random, non-oriented magnetic fields of $\~10^{-11}G$ on the last-scattering surface on (the present comoving) scales of $\~O(10)Mpc$.

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