• Title/Summary/Keyword: 섭동이론

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Scalar Perturbation and Stability of a New Wormhole in Einstein-Born-Infeld Gravity (아인슈타인-본-인펠트 중력 이론에서 새로운 웜홀의 스칼라장 섭동과 안정성)

  • Kim, Jin Young
    • New Physics: Sae Mulli
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    • v.68 no.11
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    • pp.1262-1267
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    • 2018
  • We introduce a new method to construct wormholes without adopting exotic matters in Einstein-Born-Infeld gravity with a negative cosmological constant. Contrary to the conventional method, the throat of the wormhole is located at the point where the metric solutions are joined smoothly. Thus, exotic matters are not needed to sustain the throat. We consider the behavior of a minimally coupled scalar field to study the stability of the new wormhole. If we define the quasinormal mode of the scalar field as the purely ingoing flux at the throat of the wormhole, the stability of wormhole can be discussed in analogy with the argument that we use for the stability of a black hole. Because an analytic solution can not be found, we suggest a formalism to find quasinormal modes numerically. The crucial difference from the black hole case is that the coefficient of the second-order derivative term of the radial equation is expanded from n = -1, which is contrary to the black hole case where it is expanded from n = 0.

Comparison of Potentials for Polymeric Liquids (고분자액체에 대한 포텐셜의 비교)

  • Jeong, Hae Yeong
    • Journal of the Korean Chemical Society
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    • v.46 no.6
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    • pp.545-549
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    • 2002
  • Many theories for polymeric liquids are based on the concepts of cell, hole, free volume or lattice etc. In the theories, van der Waals potential, Lennard-Jones 6-12 potential and their modified potentials are commonly used.In this work, Mie(p, 6) potential was applied to the Continuous Lattice Fluid Theory (which extends the discrete lattices of Lattice Fluid Theory to classically continuous lattices) and Dee-Walsch's Cell Theory (which modifies Flory's Equa-tion of State Theory). Both of them are known to be successful theories for polymeric liquids. Thus, PVT values chang-ing with p (the exponent in the repulsion potential) were calculated and compared with experimental values. And, calculated values of Lattice Fluid Theory, Flory's Equation of State Theory and Cho-Sanchez Theory using pertubation method were also compared. Through the calculated results, van der Waals potential, Lennard-Jones 6-12 potential and Mie(p, 6) potential for polymeric liquids were compared with each other.

Robust Speed and Efficiency Control of Induction Motors via a Simplified Input-Output Linearization Technique (단순화된 입출력선형화방법에 의한유동전동식의 강인한 속도 및 효솔제어)

  • 김규식;고명삼;하인중;김점근
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.10
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    • pp.1066-1074
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    • 1990
  • In this paper, we attempt to control induction motors with high power efficiency as well as high dynamic performance by utilizing the recently developed theories : singular perturbation technique and noninteracting feedback control. Our controller consists of three subcontrollers` a saturation current controller, a decoupling controller, and a well-known flux simulator. The decoupling controller decouples rotor speed (or motor torque) and rotor flux linearly. Our controller does not need the rotor resistance that varies widely with the machine temperature. To illuminate the practical significance of our results, we present simulation and experimental results as well as mathematical performance analysis.

An Approximate Determination of the Adjoint Flux by the Borresen's Coarse-Mesh Method (Borresen의 소격해법에 의한Adjoint속의 근사적 결정)

  • Kim, Chang-Hyo
    • Nuclear Engineering and Technology
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    • v.21 no.1
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    • pp.56-61
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    • 1989
  • A simple, approximate method for determining the two-group adjoint flux based on the Borresen's coarse-mesh 1.5 group diffusion theory scheme is proposed. With the principle of the 1.5 group diffusion theory scheme, the method describes the thermal leakage term of the adjoint flux approximately by the geomerical buckling determined from the fast adjoint flux. The accuracy of the adjoint flux is investigated tv the comparison of the adjoint flux constructed from this method with a fine-mesh finite-difference KIDD computations. It is shown that the proposed method can predict the adjoint flux as good as the KIDD results. Possible applications of the present method are then suggested in conjunction with the application of the perturbation theory.

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The Study of Near-field Scanning Microwave Microscope for the Nondestructive Detection System (비파괴 측정을 위한 근접장 마이크로파 현미경 연구)

  • Kim, Joo-Young;Kim, Song-Hui;Yoo, Hyun-Jun;Yang, Jong-Il;Yoo, Hyung-Keun;Yu, Kyong-Son;Kim, Seung-Wan;Lee, Kie-Jin
    • Journal of the Korean Society for Nondestructive Testing
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    • v.24 no.5
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    • pp.508-517
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    • 2004
  • We described a near-field scanning microwave microscope which uses a high-quality dielectric resonator with a tunable screw. The operating frequency is f=4.5 5GHz. The probe tip is mounted in a cylindrical resonant cavity coupled to a dielectric resonator We developed a hybrid tip combining a reduced length of the tapered part with a small apex. In order to understand the function of the probe, we fabricated three different tips using a conventional chemical etching technique and observed three different NSMM images for patterened Cr films on glass substrates. We measured the reflection coefficient of different metal thin film samples with the same thickness of 300m and compared with theoretical impedance respectly. By tuning the tunable screw coming through the top cover, we could improve sensitivity, signal-to-noise ratio, and spatial resolution to better than $1{\mu}m$. To demonstrate the ability of local microwave characterization, the surface resistance of metallic thin films has been mapped.

Propagation Speed of Torsional Elastic Waves In a Cylinder with a Periodically Corrugated Outer Surface (외면이 주기적으로 울퉁불퉁한 실린더에서 비틂 탄성파의 전파속도)

  • 김진오
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.54-60
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    • 1999
  • The paper describes a theoretical study on the speed of the torsional elastic waves propagating in a circular cylinder whose outer radius varies periodically as a harmonic function of the axial coordinate. The approximate solution for the phase speed has been obtained using the perturbation technique for sinusoidal modulation of small amplitude. It is shown that the wave speed in the cylinder with a corrugated outer surface is less than that in a smooth cylinder by the square of the amplitude of the surface perturbation. This theoretical prediction agrees reasonably with an experimental observation reported earlier. It is also shown that the wave speed reduction due to the surface corrugation becomes larger for a thinner cylinder and for a bigger density of corrugation.

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Buckling of Ferromagnetic Plates in Thermal and Magnetic Fields (자기장과 온도장으로 재하된 강자성 판의 좌굴)

  • 이종세;왕성철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.727-739
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    • 2002
  • Based on a generalized variational principle for magneto-thermo-elasticity, a theoretical model is proposed to describe the coupled magneto-thermo-elastic interaction in soft ferromagnetic plates. Using the linearized theory of magneto-elasticity and perturbation technique, we analyze the magneto-elastic and magneto-thermo-elastic instability of simply supported ferromagnetic plates subjected to thermal and magnetic fields. A nonlinear finite element procedure is developed next to simulate the magneto-thermo-elastic behavior of a finite-size ferromagnetic plates. The effects of thermal and magnetic fields on the magneto-thermo-elastic bending and buckling is investigated in some detail.

Threshold Crossing Rate, Phase Distribution and Group Properties of Nonlinear Random Waves of finite Bandwidth (유한한 Bandwidth를 갖는 비선형 불규칙 파열에서의 Threshold Crossing Rate, 위상분포와 파군특성)

  • Jo, Yong-Jun
    • Journal of Korea Water Resources Association
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    • v.30 no.3
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    • pp.225-233
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    • 1997
  • The nonlinear effects on the statistical properties of wave groups in terms of the average nomber of waves in a group and the mean number of waves in a high run is studied in this paper utilizing the complex envelope and total phase function, random variable transformation technique and perturbation method. It tures out that the phase distribution is modified significantly by nonlinearities and it show systematic excess of values near the mean phase and the corresponding symmetrical deficiency on both sides away from the mean. for the case of threshold crossing rate, it turns out that threshold crossing rate reaches its maxima just below the mean water level rather than zero and considerable amount of probability mass is shifted toward the larger values of water surface elevation as nonlinearity is getting profound. Furthermore, the mean waves in a high run associated with nonlinear wave are shown to have larger values than the linear counterpart. Similar trend can also be found in the average number of waves in a group.

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Introduction to Thermoacoustic Models for Combustion Instability Prediction Using Flame Transfer Function (화염 전달 함수를 이용한 열음향 연소 불안정 해석 모델 소개)

  • Kim, Dae-Sik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.15 no.6
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    • pp.98-106
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    • 2011
  • This paper reviews the state-of-the-art thermoacoustic(TA) modeling techniques and research trend to predict major parameters determining combustion instabilities in lean premixed gas turbine combustors. Linear TA modeling results give us an information on eigenfrequencies and initial growth rate of the instabilities. For the prediction, linear relation equation between acoustic waves and heat release oscillations should be derived in the determined system. Key information for this analysis is to determine the heat release fluctuations in the combustor, which is typically obtained by using n-${\tau}$ function from flame transfer function measurements and/or predictions. Great advancement in the linear TA modeling has been made over a couple of decades, and some successful prediction results have been reported in actual gas turbine combustors. However nonlinear TA model developments which are required to analyze nonlinear system behaviors such as limit cycle saturation and transition phenomena are still limited in a very simple system. In order to fully understand combustion instabilities in a complicated real system, nonlinear flame dynamics and acoustic wave interaction with nonlinear system boundary conditions should be explained from the nonlinear TA model developments.

A Study of the Cubic Field Splitting Parameter 10Dq by Means of One-Center Expansion of Complex MO (착물 분자궤도함수의 일점 전개에 의한 입방결정장 분열 파라미터 10Dq의 고찰)

  • Hojing Kim;Sangyoub Lee
    • Journal of the Korean Chemical Society
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    • v.22 no.2
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    • pp.67-77
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    • 1978
  • MO's of a complex are expanded in terms of the set of Shull-Lowdin functions based on a single point, the nucleus of central metal ion, and the result was interpreted from the viewpoint of perturbation theory. We find that even in the case of $[NiF_6]^{4-}$, which has relatively small covalency, excited configurations with high orbital angular momentum are considerably mixed into $e_g$ and $t_{2g}$, orbitals of central metal ion, and that the distortions in these orbitals differ from each other. Therefore it is concluded that the energy difference between $e^*_g$ and $t^*_{2g}$, orbitals evaluated in the MO scheme has little meaning of the unique parameter 10Dq in the crystal field theory, and that such a unique parameter cannot be defined in a rigorous sense in the MO scheme.

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