• Title/Summary/Keyword: Maxwell

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Direct-current Dielectrophoretic Motions of a Single Particle due to Interactions with a Nearby Nonconducting Wall (비전도성 벽과의 상호작용에 따른 단일 입자의 직류 유전영동 운동)

  • Kang, Sangmo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.5
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    • pp.425-433
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    • 2015
  • In this paper, we have numerically investigated two-dimensional dielectrophoretic (DEP) motions of a single particle suspended freely in a viscous fluid, interacting with a nearby nonconducting planar wall, under an externally applied uniform direct-current electric field. Particularly, we solve the Maxwell equation with a large sharp jump in the electric conductivity at the particle-fluid interface and then integrate the Maxwell stress tensor to compute the DEP force on the particle. Results show that, under an electric field parallel to the wall, one particle is always repelled to move far away from the wall and the motion depends strongly on the particle-wall spacing and the particle conductivity. The motion strength vanishes when the particle is as conductive as the fluid and increases as the conductivity deviates further from that of the fluid.

Analysis of a Dipole Antenna Using Maxwell-SCHRÖDINGER Equation (맥스웰-슈뢰딩거 방정식을 이용한 다이폴 안테나 해석)

  • Kim, Jinyoung;Jung, Jaeyoung;Jung, Youngbae;Jung, Changwon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.5
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    • pp.3107-3113
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    • 2014
  • We present a quantitative analysis of a dipole antenna and its characteristics from the viewpoint of quantum mechanics. The method makes use of a Maxwell equation used in an existing antenna propagation formula. This includes radiation resistance, input reactance, and antenna efficiency as functions of frequency and antenna length. Particular attention is paid to the Schr$\ddot{o}$odinger equation. We accomplish E-field and H-field analyses of a dipole antenna by combining the Maxwell and Schr$\ddot{o}$odinger wave equations. When comparing the existing Maxwell wave equation with the Schr$\ddot{o}$odinger wave equation, quantum-electric movement is more accurate than using the Maxwell wave equation alone.

Design and Construction of Cylindrical Multi-Loop Z-gradient Coil for Linearity Improvement in MRI (핵자기공명영상에서 선형성의 증강을 위한 원통형 Multi-Loop Z-경사자기장 코일의 설계와 제작)

  • 이동훈;백승태;김송희
    • Journal of Biomedical Engineering Research
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    • v.21 no.6
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    • pp.583-589
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    • 2000
  • 본 논문에서는 핵자기공명영상의 고해상도를 이루고, 영상의 신뢰성을 높이기 위해서 선형성이 증가된 경사자기장 코일의 설계와 제작에 목적을 두었다. Maxwell pair를 이용하여 Z-경사자계의 선형성을 증강시키기 위해 코일의 기하학적인 형태의 이론적인 계산과 몇 가지 형태의 코일로부터 예상되는 자기장 및 경사자기장의 분포를 구현했다. 즉, 코일 축 방향의 자기장을 구면좌표계에서 전개하는 방법으로 Maxwell pair의 크기와 위치를 계산하고, 유한요소법을 이용하여 자기장 및 경사자기장의 2차원 분포를 그렸다. 더불어 이론적인 계산 결과와 함께 자기장의 2차원 분포를 토대로 실제 경사자기장 코일을 제작하였고 이를 0.15 Τ 핵자기공명영상기에 적용하여, 영상을 획득하였다. 기존의 방법에 따른 Maxwell pair 형태를 이용한 경우에 코일지름의 40% DSV(diameter spherical volume)내에서 DSV의 5% 이내의 뒤틀림(distortion)을 갖는 선형성이 유지되었고, 새롭게 시도된 방법에 의한 경사자기장 코일의 경우는 코일지름의 70% DSV 내에서 DSV의 5% 이내의 뒤틀림을 갖는 선형성을 유지하였으며, 설계 제작된 경사자기장 코일과 RF-코일을 이용하여 이를 확인하였다. 본 연구에서 제작된 경사자기장 코일의 선형성은 Maxwell pair 코일보다 향상된 결과를 보았으며, 본 논문에서 제시하는 방법은 자기공명영상의 해상도 향상에 기여할 것으로 판단된다.

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The determination of continuous relaxation time spectrum of linear polymer (선형 고분자의 연속 완화시간 스펙트럼 결정)

  • 이일순
    • The Korean Journal of Rheology
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    • v.8 no.2
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    • pp.103-118
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    • 1996
  • 변형된 Maxwell 모델을 모의 데이터와 폴리스티렌의 동적 실험 데이터인 G'과 G "에 적용하여 연속 완화시간 스펙트럼을 결정하였고, Maxwell 모델을 사용했을 때 얻어지 는 불연속 완화시간 스펙트럼과 비교하였다. MGMM과 GMM 모두 선형회귀 방법과 비선 형회귀 방법을 사용하여 완화시간 스펙트럼을 결정하였는데 비선형 방법을 사용했을 때 선 형방법에 비해 좀 더 만족스러운 결과를 얻을수 있었다. 모의 데이터의 경우 사용한 완화시 간의 수가 많은 경우에는 MGMM과 GMM 모두 원래의 스펙트럼을 잘 재현했으나 완화시 간의 수가 작은 경우에는 MGMM이 GMM에 비해 원래의 완화시간 스펙트럼을 보다 잘 나 타내었다. 또 단분산성폴리스티렌의 경우 MGMM과 GMM의 완화시간 스펙트럼이 모두 작 은 완화시간 영역에서는 분자량에 무관했고 큰 완화시간 영역에서는 분자량이 커질수록 스 펙트럼이 완화시간이 커지는 쪽으로 이동하였다. 또 두드러진 terminal 완화시간을 볼수 있 었다. 그러나 다분산성 폴리스티렌의 경우에는 단분산성의 경우와는 달리 두드러진 terminal 완화시간을 볼수 없었다. 그리고 MGMM의 파라미터 m은 분자량 분포에 크게 의존함을 알 수 있었으며 연속 완화시간 스펙트럼에서 계산된 불연속 완화시간 스펙트럼이 GMM에서 얻어진 불연속 완화시간 스펙트럼과 잘 일치함을 볼수 있었다.

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Copper Phthalocyanine Field-effect Transistor Analysis using an Maxwell-wagner Model

  • Lee, Ho-Shik;Yang, Seung-Ho;Park, Yong-Pil;Lim, Eun-Ju;Iwamoto, Mitsumasa
    • Transactions on Electrical and Electronic Materials
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    • v.8 no.3
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    • pp.139-142
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    • 2007
  • Organic field-effect transistor (FET) based on a copper Phthalocyanine (CuPc) material as an active layer and a $SiO_2$ as a gate insulator were fabricated and analyzed. We measured the typical FET characteristics of CuPc in air. The electrical characteristics of the CuPc FET device were analyzed by a Maxwell-Wagner model. The Maxwell-Wagner model employed in analyzing double-layer dielectric system was helpful to explain the C-V and I-V characteristics of the FET device. In order to further clarity the channel formation of the CuPc FET, optical second harmonic generation (SHG) measurement was also employed. Interestingly, SHG modulation was not observed for the CuPc FET. This result indicates that the accumulation of charge from bulk CuPc makes a significant contribution.

Theoretical explanation of rock splitting based on the micromechanical method

  • Huang, Houxu;Li, Jie;Hao, Yiqing;Dong, Xin
    • Geomechanics and Engineering
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    • v.14 no.3
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    • pp.225-231
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    • 2018
  • In this paper, in order to explain the splitting of cylindrical rock specimen under uniaxial loading, cracks in cylindrical rock specimen are divided into two kinds, the longitudinal crack and the slanting crack. Mechanical behavior of the rock is described by elastic-brittle-plastic model and splitting is assumed to suddenly occur when the uniaxial compressive strength is reached. Expression of the stresses induced by the longitudinal crack in direction perpendicular to the major axis of the crack is deduced by using the Maxwell model. Results show that the induced stress is tensile and can be greater than the tensile strength even before the uniaxial compressive strength is reached. By using the Inglis's formula and simplifying the cracks as slender ellipse, the above conclusions that drawn by using the Maxwell model are confirmed. Compared to shearing fracture, energy consumption of splitting seems to be less, and splitting is most likely to occur when the uniaxial loading is great and quick. Besides, explaining the rock core disking occurred under the fast axial unloading by using the Maxwell model may be helpful for understanding that rock core disking is fundamentally a tensile failure phenomenon.

the Combination of Wavelet with Boundary Element Method for the Efficient Solution of Maxwell's Equations (Maxwell 방정식의 효율적인 풀이를 위한 경계요소법과 웨이브렛의 결합)

  • Kim, Hyun-Jun;Lee, Seung-Gol;O, Beom-Hoan;Lee, El-Hang
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.39 no.6
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    • pp.24-35
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    • 2002
  • The wavelet transform is combined with the boundary element method (BEM), to solve efficiently the Maxwell's equation and the proposed method is applied to the electromagnetic problem for the analysis of topological effects of phase-shifting masks. The accuracy of the module developed was verified by comparison with both analytic solutions and published results. In addition, it was found that the boundary element method in combination with the wavelet matrix transform would be more efficient than the conventional methods based on the BEM in views of the calculation speed and the usage of computer memory.

Simulation of Bi-dispersed Electrorheological Fluids of Different Particle Sizes by the Extended Maxwell-Wagner Polarization Model (확장된 Maxwell-Wagner 분극 모델에 의한 서로 크기가 다른 입자들로 구성된 이성분계 전기유변 유체의 전산 모사)

  • Kim, Young Dae
    • Korean Chemical Engineering Research
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    • v.60 no.4
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    • pp.613-619
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    • 2022
  • The extended Maxwell-Wagner polarization model is employed to describe the ER(Electrorheological) behavior of bi-dispersed ER suspensions, and solutions to the equation of motion are obtained by dynamic simulation. Under the same particle volume fraction, it is found that the dynamic yield stresses of uniform size suspensions do not depend on the particle size. Compared with uniform size suspensions, the dynamic yield stress is reduced for ER fluids consisting of two kinds of particles with different sizes. Compared with the dynamic yield stress behavior, for ${\dot{\gamma}}^*$≧0.01 the shear stress shows different behaviors depending on the particle sizes and the raio of different size particles. The simulation results show the nonlinear ER behavior (∆𝛕 ∝ En, n ≈ 1.55) of the conducting particle ER suspensions.

Rheological Properties of Acorn Flour Gels by Stress Relaxation Test (응력완화 검사(stress relaxation test)에 의한 도토리묵의 물리적 특성)

  • 김영아;이혜수
    • Korean journal of food and cookery science
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    • v.1 no.1
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    • pp.53-56
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    • 1985
  • The rheological models of acorn flour gels with different concentrations were investigated by stress relaxation test. The analysis of relaxation curves by successive residual method revealed that the rheological behavior of acorn flour gels could be expressed by the 7-element, generalized Maxwell model. The equilibrium modulus and modulus of elasticity increased by the increment of acorn flour concentration.

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EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR KLEIN-GORDON-MAXWELL SYSTEM WITH A PARAMETER

  • Che, Guofeng;Chen, Haibo
    • Journal of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.1015-1030
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    • 2017
  • This paper is concerned with the following Klein-Gordon-Maxwell system: $$\{-{\Delta}u+{\lambda}V(x)u-(2{\omega}+{\phi}){\phi}u=f(x,u),\;x{\in}\mathbb{R}^3,\\{\Delta}{\phi}=({\omega}+{\phi})u^2,\;x{\in}\mathbb{R}^3$$ where ${\omega}$ > 0 is a constant and ${\lambda}$ is the parameter. Under some suitable assumptions on V (x) and f(x, u), we establish the existence and multiplicity of nontrivial solutions of the above system via variational methods. Our conditions weaken the Ambrosetti Rabinowitz type condition.