• International Journal of Aeronautical and Space Sciences
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• 제15권3호
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• pp.320-334
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• 2014

Over the last two decades, numerous experimental and numerical efforts have examined physical phenomena in plasma discharge devices. The physical mechanisms that govern the anomalous electron diffusion from the cathode to the anode in the Hall Effect Thruster (HET) are not fully understood. This work used 1-D numerical method to improve our understanding and gain insight into the effect of the anomalous electron diffusion in the HET. To this end, numerical solutions are compared with various experimental HET performance measurements and the effects of anomalous electron diffusion are analyzed. The relationships between the anomalous electron diffusion and important parameters of the HET are also studied quantitatively. The work identifies the cathode mass flow rate fraction, radial magnetic field distribution, and discharge voltage as significant factors that affect anomalous electron diffusion. Additionally, the study demonstrates a computational process to determine the radial magnetic field distribution required to achieve specific thruster performance goals.

• 대한수학회논문집
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• 제29권1호
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• pp.173-185
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• 2014

In the present paper, we consider an anomalous diffusion problem in two dimensional space involving Caputo time and Riesz-Feller fractional derivatives and then solve it by using a series involving bilateral eigen-functions. Also, we obtain a numerical approximation formula of this problem and discuss some of its particular cases.

• Bulletin of the Korean Chemical Society
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• 제32권7호
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• pp.2237-2242
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• 2011

Anomalous scaling behaviors such as significantly large growth exponent (${\beta}$) and small reciprocal of dynamic exponent (1/z) values for many molecular crystalline thin films have been reported. In this study, the variation of scaling exponent values and consequent growth behaviors of molecular thin films were more quantitatively analysed using a (1+1)-dimensional surface lateral diffusion model. From these simulations, influence of step edge barriers and grain boundaries of molecular thin films on the various scaling exponent values were elucidated. The simulation results for the scaling exponents were also well consistent with the experimental data for previously reported molecular thin film systems.

• 한국전기화학회:학술대회논문집
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• 한국전기화학회 2004년도 춘계총회 및 학술발표회
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• pp.67-67
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• 2004

• 멤브레인
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• 제10권3호
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• pp.139-147
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• 2000

불소고분자(ETFE, ECTFE, PVDF)내로 방향족 유기용매(벤젠, 톨루엔, 클로로벤젠)의 비정상 흡수실험에서 non-Fickian (혹은 비이상적인) 확산이 관측되었다. 본 연구에서는 Fick's 법칙에 바탕을 둔 확산모델식(Crank, Long ＆ Richman, Berens ＆ Hopfenberg, Neogi, Li)을 이용하여 방향족 유기용매의 흡수실험에서 관측된 비이상적 흡수데이터론 분석하였다. 모델식의 매개변수 값은 실험데이터와 모델 예측 값의 차이를 최소화하는 least square 법을 이용하여 결정하였다. Fickian 확산으로부터 약간 벗어나는 ETFE 흡수데이터는 앞에서 언급한 모델식들을 이용하여 모두 만족할 만한 결과를 얻었다. 특히 Neogi 모델식은 ETFE-용매계의 고유확산계수(0.4~0.8$\times$$10^-5{cm}^2$/day) 및 평형 확산계수(0.13~0.31$\times$$10^-4{cm}^2$/day), 고분자구조의 이완 속도상수 값을 예측해주었다. PVDF의 전형적인 sigmoidal 흡수데이터에 대해서는 Crank 모델이 비교적 잘 적용되었으며, 초기 확산계수와 평형 확산계수간의 비($D_{\infty}/D_i$)는 80~200의 값을 나타내주었다. 가속적인 흡수데이터를 나타내주는 ECTFE의 경우에는 모든 모델식들의 예측 결과가 상당히 벗어났다. Fickian 확산으로부터 많이 벗어나는 비이상적인 흡수데이터로부터 확산 이동성질과 고분자구조의 이완현상에 대한 정보를 얻기 위해서는 열역학이나 continuum mechanics에 바탕을 둔 새로운 모델식을 적용해야 할 것으로 사료된다.

• 전기화학회지
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• 제7권3호
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• pp.155-162
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• 2004

This article covers the fundamentals of percolation phenomenon giving emphasis to the percolation concept involved in disordered electrochemical systems. After a brief discourse on the basic concepts of percolation theory, the geometrical properties and fractality of percolation clusters were presented. Then, anomalous behaviours of diffusion in percolation clusters were explained in terms of the fractal structures of the infinite percolation clusters. Finally, the conductivity-related properties of composite ionic materials were shortly discussed on the basis of percolation theory from practical points of view.

• 폴리머
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• 제28권1호
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• pp.24-34
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• 2004

여러 종류의 불소고분자내로 다양한 유기용매들의 동적 흡수 평형 (혹은 팽윤) 실험을 진행하였다. 불소로 포화된 고분자는 이상적 흡수 거동을 나타내었으나 부분적으로 치환된 불소고분자는 최종 흡수단계에서 가속화되는 비이상적 흡수 거동을 나타내었다. 회귀분석에 의해 픽-확산 거동으로부터 벗어나는 정도를 최소자승법 (즉, ∑ ［측정값-예측값］$^2$)으로 구한 결과 -퍼플루오로알콕시 공중합체, 폴리(에틸렌 테트라플루오로에틸렌) 공중합체, 폴리(비닐리덴 플루오라이드), 폴리(에틸렌 클로로트리플루오로에틸렌) 공중합체에 대해 각각 3.0${\times}$$10^{-4}$, 1.75${\times}$$10^{-3}$, 8.68${\times}$$10^{-3}$, 1.75${\times}$$10^{-2}$의 수치를 나타내었다. 응력-변형 실험 결과 비-픽 확산 거동은 팽윤된 불소고분자의 기계적 성질 (탄성률과 인장 강도) 변화와 상관관계가 있음을 알 수 있었다. 비이상적 흡수 거동의 주요 원인은 치환된 수소 혹은 염소와 불소원자 간의 전기음성도 차이에 기인한 사슬 간극성 결합 구조가 침투성분의 가소화 효과에 의해 비선형적 이완이 진행되면서 비-픽 확산이 진행되기 때문이다. 따라서 부분적으로 치환된 불소고분자를 차단성 혹은 선택적 투과기능이 요구되는 분야에 적용할 때 가소화 성분에 대한 용해 및 확산 거동에 대한 신중한 고찰이 필요하다.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2023년도 춘계학술발표대회
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• pp.2-4
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• 2023

Sequence data plays an important role in the field of intelligence, especially for industrial control, traffic control and other aspects. Finding abnormal parts in sequence data has long been an application field of AI technology. In this paper, we propose an anomaly detection method for sequence data using a diffusion model. The diffusion model has two major advantages: interpretability derived from rigorous mathematical derivation and unrestricted selection of backbone models. This method uses the diffusion model to predict and reconstruct the sequence data, and then detects the abnormal part by comparing with the real data. This paper successfully verifies the feasibility of the diffusion model in the field of anomaly detection. We use the combination of MLP and diffusion model to generate data and compare the generated data with real data to detect anomalous points.

• Bulletin of the Korean Chemical Society
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• 제26권11호
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• pp.1723-1727
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• 2005

A generalized fractional diffusion equation (FDE) is presented, which describes the time-evolution of the spatial distribution of a particle performing continuous time random walk (CTRW) on a fractal lattice. For a case corresponding to the CTRW with waiting time distribution that behaves as $\psi(t) \sim (t) ^{-(\alpha+1)}$, the FDE is solved to give analytic expressions for the Green’s function and the mean squared displacement (MSD). In agreement with the previous work of Blumen et al. [Phys. Rev. Lett. 1984, 53, 1301], the time-dependence of MSD is found to be given as < $r^2(t)$ > ~ $t ^{2\alpha/dw}$, where $d_w$ is the walk dimension of the given fractal. A Monte-Carlo simulation is also performed to evaluate the range of applicability of the proposed FDE.

• 한국경영과학회지
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• 제31권2호
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• pp.15-26
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• 2006

In reality, we can observe anomalous diffusion patterns of cycle-recycle or rejuvenation. Abrupt changes in the market environment such as sudden currency devaluation or change in government policy or those in marketing strategies such as drastic repositioning can lead to such atypical diffusion patterns. The authors present extended Bass models that incorporate effects of such abrupt changes of external factors into the hazard rate and the market potential. Using a set of compact-car data affected by a drastic change in the government policy, they illustrate the strengths of the proposed models.