• Title/Summary/Keyword: a diffusion model

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Chloride diffusion in concrete associated with single, dual and multi cation types

  • Song, Zijian;Jiang, Linhua;Zhang, Ziming
    • Computers and Concrete
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    • v.17 no.1
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    • pp.53-66
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    • 2016
  • Currently, most of the investigations on chloride diffusion were based on the experiments and simulations concerning single cation type chlorides. Chloride diffusion associated with dual or multi cation types was rarely studied. In this paper, several groups of diffusion experiments are conducted using chloride solutions containing single, dual and multi cation types. A multi-ionic model is also proposed to simulate the chloride diffusion behavior in the experimental tests. The MATLAB software is used to numerically solve the nonlinear PDEs in the multi-ionic model. The experimental and simulated results show that the chloride diffusion behavior associated with different cation types is significantly different. When the single cation type chlorides are adopted, it is found that the bound rates of chloride ions combined with divalent cations are greater than those combined with monovalent cations. When the dual/multi cation type chlorides are adopted, the chloride bound rates increase with the $Ca^{2+}/Mg^{2+}$ percentage in the source solutions. This evidence indicates that the divalent cations would markedly enhance the chloride binding capacity and reduce the chloride diffusivity. Moreover, on the basis of the analysis, it is also found that the complicated cation types in source solutions are beneficial to reducing the chloride diffusivity.

A study on the design of boron diffusion simulator applicable for shallow $p^+-n$ junction formation (박막 $p^+-n$ 접합 형성을 위한 보론 확산 시뮬레이터의 제작에 관한 연구)

  • Kim, Jae-Young;Kim, Bo-Ra;Hong, Shin-Nam
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.04b
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    • pp.30-33
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    • 2004
  • Shallow p+-n junctions were formed by low-energy ion implantation and dual-step annealing processes The dopant implantation was performed into the crystalline substrates using $BF_2$ ions. The annealing was performed with a rapid thermal processor and a furnace. FA+RTA annealing sequence exhibited better junction characteristics than RTA+FA thermal cycle from the viewpoint of junction depth. A new simulator is designed to model boron diffusion in silicon, which is especially useful for analyzing the annealing process subsequent to ion implantation. The model which is used in this simulator takes into account nonequilibrium diffusion, reactions of point defects, and defect-dopant pairs considering their charge states, and the dopant inactivation by introducing a boron clustering reaction. Using a resonable parameter values, the simulator covers not only the equilibrium diffusion conditions but also the nonequilibrium post-implantation diffusion. Using initial conditions and boundary conditions, coupled diffusion equation is solved successfully. The simulator reproduced experimental data successfully.

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A Choice-Based Substitutive Diffusion Model for Forecasting Analog and Digital Mobile Telecommunication Service Subscribers in Korea (국내 아날로그와 디지털 이동전화 서비스 가입자 수 예측을 위한 선택 관점의 대체 확산 모형)

  • 전덕빈;박윤서;김선경;박명환;박영선
    • Korean Management Science Review
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    • v.19 no.2
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    • pp.125-137
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    • 2002
  • The telecommunications market is expanding rapidly and becoming more substitutive. In this environment, demand forecasting is very difficult, yet important for both practitioners and researchers. in this paper, we adopt the modeling approach proposed dy Jun and Park [6]. The basic premise is that demand patterns result from choice behavior, where customers choose a product to maximize their utility. We apply a choice-based substitutive diffusion model to the Korean mobile telecommunication service market where digital service has completely replaced analog service. In comparison with Bass-type multigeneration models. our model provides superior fitting and forecasting performance. The choice-based model is useful in that it enables the description of such complicated environments and provides the flexibility to include marketing mix variables such as price and advertising in the regression analysis.

FINITE ELEMENT MODEL TO STUDY CALCIUM DIFFUSION IN A NEURON CELL INVOLVING JRYR, JSERCA AND JLEAK

  • Yripathi, Amrita;Adlakha, Neeru
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.695-709
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    • 2013
  • Calcium is well known role for signal transduction in a neuron cell. Various processes and parameters modulate the intracellular calcium signaling process. A number of experimental and theoretical attempts are reported in the literature for study of calcium signaling in neuron cells. But still the role of various processes, components and parameters involved in calcium signaling is still not well understood. In this paper an attempt has been made to develop two dimensional finite element model to study calcium diffusion in neuron cells. The JRyR, JSERCA and JLeak, the exogenous buffers like EGTA and BAPTA, and diffusion coefficients have been incorporated in the model. Appropriate boundary conditions have been framed. Triangular ring elements have been employed to discretized the region. The effect of these parameters on calcium diffusion has been studied with the help of numerical results.

Approximated Model and Chaining Pattern of Hash Functions (해쉬 함수의 근사적 모델과 연쇄패턴)

  • Lee Sun-Young
    • Journal of Internet Computing and Services
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    • v.7 no.1
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    • pp.39-47
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    • 2006
  • The evaluation of MDx family hash functions such as MD5 is difficult because the design background or a generalized model is unknown. In this paper, an approximated model is proposed to generalize hash functions. The diffusion of a input difference is tested by an approximated model for MD5. The results show that MD5 does not provide perfect diffusion, so MD5 is weak against some attacks. We propose a multiple chaining pattern which provides perfect diffusion in approximated model of hash function without extra calculation or memory. And We show the probability of differential characteristics of our proposal.

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An Information Diffusion Model Considering Non-explicit Relationships in the Blog World (블로그 월드에서 비명시적 관계를 고려한 정보 파급 모델)

  • Kwon, Yong-Suk;Kim, Sang-Wook;Park, Sun-Ju;Lim, Seung-Hwan;Lee, Jae-Bum
    • Journal of KIISE:Computing Practices and Letters
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    • v.15 no.5
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    • pp.360-364
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    • 2009
  • Analyzing information diffusion in a blog world is a very useful research issue, which can be used for predicting information diffusion, abnormally detection, marketing, and revitalizing the blog world. Existing studies on information diffusion in blog networks establish explicit relationship between blogs, and analyze only the word-of-mouth effect through such explicit relationships. However, we observed that more than 85% of all information diffusion in a blog world occurs through non-explicit relationships. In this paper, we propose a new model that considers both explicit and non-explicit relationships between blogs in order to explain all information diffusion phenomena in a blog world. We verify the superiority of our proposed models through extensive experiments of information diffusions at a real blog net-work.

A Deblocking Algorithm Using Anisotropic Diffusion for Block DCT-based Compressed Images (이방성 확산을 이용한 블록 DCT 기반 압축 영상의 블록효과 제거)

  • Choi, Euncheol;Han, Youngseok;Park, Min Kyu;Kang, Moon Gi
    • Journal of Broadcast Engineering
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    • v.10 no.3
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    • pp.383-391
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    • 2005
  • In this paper, a new anisotropic diffusion based on Alvarez, Lions, and Morel (ALM) diffusion model is proposed for the suppression of blocking artifact caused by discrete cosine transform (DCT) based image compression. The proposed diffusion model, which incorporates a 'rate control parameter' (RCP), makes it possible to reduce blocking artifacts while to preserve the edge. The RCP controls the rate between isotropic and anisotropic diffusion. Isotropic diffusion is encouraged to eliminate the blocking artifacts in a block boundary of a smooth region, while anisotropic diffusion is encouraged to keep the edge or texture sharp in edge and a block boundary within an edge region. Additionally, to avoid oversmoothness of the texture region, a 'speed control parameter' (SCP), which makes diffusion process slow in the texture region, is employed.

A Study on Diffusion of Innovation based on Mahajan′s Model

  • Lee, Sang-Gun;Jae H. Min
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.11a
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    • pp.144-147
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    • 2003
  • It is important to understand the process of technology diffusion among end users for effectively implementing adoption and coping with frequent changes in the environment. Previous studies indicate that information and communication technology (ICT) adoption is affected by innovation influence such as usefulness, ease of use and self-efficacy. Most of these studies, however, bypassed imitation influence such as subjective norms, word-of-mouth, and advertising, specifically, interactive innovation having critical mass in technology acceptance research. Thus, this study investigates imitation influence in individual adoption of mobile communication technology, more specifically, mobile phones, using Mahaian's diffusion model in individual ICT adoption.

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Comparison of Diffusion Characteristic of Chloride According to the Condition of Hardened Concrete (경화된 콘크리트의 상태에 따른 염화물 확산특성 비교)

  • Leem Young-Moon;Yang Eun-Ik;Min Seok-Hong
    • Journal of the Korean Society of Safety
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    • v.19 no.3 s.67
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    • pp.89-94
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    • 2004
  • Most reinforcements in concrete are constructed by steel. Corrosion of reinforcement is the main cause of damage and early failure of reinforced concrete structures. The corrosion is mainly professed by the chloride ingress. In general, chloride in concrete can be discriminated by two components, total chloride and fire chloride. This paper provides a testing method on the coefficient of chloride diffusion in concrete and the relationship between total chloride and free chloride in concrete for the composition of predicting model on diffusion rate of chloride. In order to complete this predicting model, this study will use chloride penetration characteristic, diffusion coefficient and experiment of color change on silver nitrate solution. This predicting model is going to help that grasp special quality on salt content inclusion of concrete structure that is exposed in chloride environment. Accurate predicting model can be effectively used not only in selecting of repair time but also in preventing from various deteriorations.

Random effect models for simple diffusions (단순 확산과정들에 대한 확률효과 모형)

  • Lee, Eun-Kyung;Lee, In Suk;Lee, Yoon Dong
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.801-810
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    • 2018
  • Diffusion is a random process used to model financial and physical phenomena. When we construct statistical models for repeatedly observed diffusion processes, the idea of random effects needs to be considered. In this research, we introduce random parameters for an Ornstein-Uhlenbeck diffusion model and geometric Brownian motion diffusion model. In order to apply the maximum likelihood estimation method, we tried to build likelihoods in closed-forms, by assuming appropriate distributions for random effects. We applied the random effect models to data consisting of Dow Jones Industrial Average indices recorded daily over 27 years from 1991 to 2017.