• 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.

• Communications of the Korean Mathematical Society
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• v.15 no.3
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• pp.391-434
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• 2000

심플렉틱 구조는 국소적으로는 모두 같기 때문에 심플렉틱 다양체 연구는 대역적으로 연구해야한다. 그로모브가 복소해석학적 곡선을 원소를 하는 모률라이 공간의 연구가 심플렉틱 다양체를 연구하는 물고를 텃다. 특이점이 없는 복소곡선의 개수를 세는 그로모브 불변량은 도넬슨의 비선형 게이지 이론의 간략화라 할 수 있는 아벨리안게이지 이론에서 사이버그-위튼 불변량과 같음을 타우브스가 발견하였다. 또한 사이버그-위튼 불변량은 심플렉틱 다양체의 불변량으로 심플렉틱 구조연구에 큰 이바지하고 있다. 그로모브의 모듈라이 공간의 컴펙트하는 과정에서 자연스럽게 마크점과 특이점을 갖는 곡선의 그로모브-위튼 모듈라이 공간이 켐펙트가 되고 여기소 그로모브-위튼 불변량이 얻어진다. 이 그로모브-위튼 불변량은 대수기하와 이론 물리학의 끈이론에서 찾는 대수곡선의 개수를 나타내고, 코호몰로지의 컵곱의 일반화라 할 수 있는 퀸텀곱을 유도하고, 그로모브-위튼 포텐셜함수의 계수를 결정한다. 퀸텀곱의 결합법칙은 포텐셜함수의 WDVV-방정식과 동치를 나타나며 이는 프로베니우스 구조가 평탄함을 나타낸다. 그로모브-위튼 불변량은 앞으로 활발히 연구되고 수학에 광범하게 이바지 할 것이다.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.3
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• pp.1439-1443
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• 2011

A theoretical study on the ground water flow adjacent to buried pipe was conducted. Incompressible and irrotational flow were considered in analytical study. Ground water flow were defined by complex potentials. Firstly, uniform flow without buried pipe was analysed and then the effect of buried pipe was considered by superposition via circle theorem. Although two kinds of flow can be added by linearity of complex potentials, investigation of the singularities of the complex potentials should be done in advance. Finally, ground water flow past a buried pipe was analysed via complex potentials and net force exerted on the buried pipe by the ground water flowing past with circulation was derived.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.12 no.3
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• pp.116-129
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• 2000

The interaction of incident monochromatic waves with a tensioned, flexible, circular membrane submerged horizontally below free surface is investigated in the frame of three-dimensional linear hydro-elastic theory. The velocity potential is split into two parts i.e. the diffraction potential representing the scattering of incident waves by a rigid circular disk and the radiation potential describing motion induced waves by elastic responses of flexible membrane. The fluid domain is divided into three regions, and the diffraction and radiation potentials in each region are expressed by the Fourier Bessel series. The displacement of circular membrane is expanded with a set of natural functions, which satisfy the membrane equation of motion and boundary conditions. The unknown coefficients in each region are determined by applying the continuity of pressure and normal velocity at the matching boundaries. The results show that various types of wave focusing are possible by controlling the size, submergence depth, and tension of membrane.

• Journal of the Korean Chemical Society
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• v.22 no.1
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• pp.1-6
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• 1978

Feeling the potential field within a cell for various environments, every liquid molecule moves to minimize its potential energy. With this simple and fundamental concept, liquid molecules may be treated as a combination of three kinds of typical molecules characterized by Lennard-Jones and Devonshire's earlier work. We can get a partition function which has better functional from and less defects compared to the cell theory and the significant structure theory.

• Journal of Internet Computing and Services
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• v.21 no.2
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• pp.49-55
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• 2020

Information theoretic learning (ITL) methods based on random symbols (RS) use a set of random symbols generated according to a target distribution and are designed nonparametrically to minimize the cost function of the Euclidian distance between the target distribution and the input distribution. One drawback of the learning method is that it can not utilize the input power statistics by employing a constant stepsize for updating the algorithm. In this paper, it is revealed that firstly, information potential input (IPI) plays a role of input in the cost function-derivative related with information potential output (IPO) and secondly, input itself does in the derivative related with information potential error (IPE). Based on these observations, it is proposed to normalize the step-size with the statistically varying power of the two different inputs, IPI and input itself. The proposed algorithm in an communication environment of impulsive noise and multipath fading shows that the performance of mean squared error (MSE) is lower by 4dB, and convergence speed is 2 times faster than the conventional methods without step-size normalization.

• Journal of the Society of Naval Architects of Korea
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• v.28 no.2
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• pp.159-173
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• 1991

This paper describes a potential-based panel method formulated for the analysis of a super-cavitating two-dimensional hydrofoil. The method employs normal dipoles and sources distributed on the foil and cavity surfaces to represent the potential flow around the cavitating hydrofoil. The kinematic boundary condition on the wetted portion of the foil surface is satisfied by requiring that the total potential vanish in the fictitious inner flow region of the foil, and the dynamic boundary condition on the cavity surface is satisfied by requiring thats the potential vary linearly, i.e., the tangential velocity be constant. Green's theorem then results in a potential-based integral equation rather than the usual velocity-based formulation of Hess & Smith type. With the singularities distributed on the exact hydrofoil surface, the pressure distributions are predicted with improved accuracy compared to those of the linearized lilting surface theory, especially near the leading edge. The theory then predicts the cavity shape and cavitation number for an assumed cavity length. To improve the accuracy, the sources and dipoles on the cavity surface are moved to the newly computed cavity surface, where the boundary conditions are satisfied again. This iteration process is repeated until the results are converged. Characteristics of iteration and discretization of the present numerical method are much faster and more stable than the existing nonlinear theories. The theory shows good correlations with the existing theories and experimental results for the super-cavitating flow. In the region of small angles of attack, the present prediction shows and excellent comparison with the Geurst's linear theory. For the long cavity, the method recovers the trends of the Wu's nonlinear theory. In the intermediate regions of the short super-cavitation, the method compares very well with the experimental results of Parkin and also those of Silberman.

• Proceedings of the Korean Vacuum Society Conference
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• 2011.02a
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• pp.214-215
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• 2011

RF 플라즈마의 경우 일반적인 싱글 랑뮤어 프루브를 사용하여 I-V 파형을 구하는 경우에, 우리는 시평균한 값만을 구할 수 있다. 일반적인 플라즈마 반응 챔버의 구조상, 양 전극의 크기가 다르기 때문에, 시간에 따라 진동하는 플라즈마 포텐셜의 형태는 정확한 사인파의 형태가 아니다. 그렇기 때문에 플라즈마 포텐셜에 따라서 진동하는 데이터를 시평균한 값에는 DC 오프셋 성분이 나타난다. 이러한 DC 오프셋값은 랑뮤어 프루브를 통한 플라즈마 포텐셜 측정시에 오차로 나타난다. 우리는 DC 오프셋에 의한 에러값을 보정하기 위해 멀티 프루브를 사용할 수 있다. 가장 흔하게 쓰이는 듀얼 랑뮤어 프루브의 경우를 살펴보면, 내부의 전원이 플로팅되어 있으며 전압인가를 위한 회로 또한 접지에서 절연되어 있기 때문에, 플라즈마 포텐셜이 시간에 따라 흔들려도 전체적인 전위가 플라즈마 포텐셜과 함께 움직이기 때문에, 앞에서 말한 DC 오프셋에 의한 오차를 줄일 수있다는 장점이 있다. 그러나, 이를 위하여는 회로의 절대적인 플로팅이 필요하지만 실제 듀얼 랑뮤어 프루브의 전원 회로를 구현시에는, 트랜스포머 등을 사용하여 회로를 절연시켜도 회로에 기생적으로 발생하는 콘덴서 성분 때문에 플로팅에 영향을 받을 수 있다. 또한 양극과 음극 사이의 내부 임피던스가 다르게 나타난다. 실제로 기존의 듀얼 랑뮤어를 가지고 RF 플라즈마를 측정할 때에, 듀얼 랑뮤어 프루브의 두 팁 간에 서로 다른 전압-전류 파형이 나타나곤 한다. 이러한 두 팁간의 전압-전류 파형의 차이는 두 팁이 물리적으로 완전히 동일한 구조를 가질 수 없기 때문에 발생 하기도 하지만, 위에서 밝힌 원인에 의해서도 발생한다. 이로 인하여 듀얼 랑뮤어 프루브에 의한 I-V 파형은 이론 상 원점을 대칭으로 한 기함수의 형태이어야 하는데, 실제 측정 결과를 보면 이러한 대칭 형태의 모양을 보기 힘들다. 우리는 이에 이를 보정하기 위하여 위상이 180도 차이가 나는 두 개의 삼각파 발생 전원을 각각 듀얼 랑뮤어 프루브의 양 팁에 인가하여 두 팁 간의 내부 저항과 기생 임피던스 등을 일치시킨 프루브를 디자인하였으며 이 프루브를 이용한 실험에서, 비교적 완벽하게 원점에 대하여 대칭하는 I-V 커브를 구할 수 있었다. 이에 이 논문에서는 새로운 회로와 이 회로로 이루어진 듀얼 랑뮤어 프루브를 사용하여 플라즈마를 진단하는 방법에 대하여 기술한다.

• Transactions of Materials Processing
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• v.20 no.5
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• pp.369-376
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• 2011

A non-quadratic anisotropic strain rate potential was introduced as a conjugate potential of the yield stress potential Yld2000-2d to describe anisotropic behavior of sheet metals, in particular, aluminum alloy sheets under plane stress state. This strain-rate potential takes into account the anisotropic yield stresses and R-values measured along the directions measured at 0, 45 and 90 degrees from the rolling direction, as well as the balanced biaxial yield stress and strain-rate ratio. The convexity of the strain-rate potential was completely proven. The strain-rate potential was applied for two anisotropic aluminum alloy sheets, AA6022-T4 and AA2090-T3. The results verified that the strain rate potential properly described the anisotropic behavior of aluminum alloy sheets and was closely conjugate of Yld2000-2d under the plane stress state.

• The Journal of Korea Institute of Information, Electronics, and Communication Technology
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• v.16 no.6
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• pp.378-384
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• 2023

In this study, we aim to derive the descriptor vector conditions that can simultaneously achieve the efficiency and accuracy of artificial Neural Network Potentials (NNP). The material system selected is silicon, a highly applicable material in various industries. Atomic structure-dependent energy data for training artificial neural networks were generated through density functional theory calculations. Behler-Parrinello type atomic-centered symmetric functions were employed as descriptors, and various length vector NNPs were generated. These NNPs were applied to reproduce the structure and mechanical properties of silicon materials in molecular dynamics simulations. In our findings, the minimum vector length for achieving both learning and computational efficiency while maintaining property reproducibility is approximately 50. It was also observed that, for the same conditions, incorporating more angle-dependent symmetric functions into the descriptor vector, could enhance the accuracy of NNP. Our results can provide guidelines for optimizing the conditions of descriptor vectors to achieve both efficiency and accuracy of NNP, simultaneously.