• Title/Summary/Keyword: Boltzmann equation

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EPBS를 이용한 이온채널 단백질의 전하분포와 유전율이 이온 선택성에 미치는 영향 계산

  • Choe, Hyeong-Su;Nam, Min-U
    • Proceeding of EDISON Challenge
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    • 2014.03a
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    • pp.75-88
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    • 2014
  • 본 연구에서는 비선형 Poisson-Boltzmann 식의 해를 구할 수 있는 웹 기반 EPBS를 이용하여 이온채널의 전하 분포와 유전률이 이온채널의 이온선택성에 미치는 영향에 대해 알아본다. 모델로 사용한 이온채널은 이온채널과 유사한 구조를 갖는 합성 단백질인 고리형 펩타이드 나노튜브와 자연계에 존재하는 Gramicidin A 이다. 계산 결과로부터 용매인 물과 단백질의 유전율 차이에 의해 이온이 이온채널을 통과할 때 반응장이 생성되며, 이는 이온과 상호작용을 통해 이온 종류에 관계없이 이온 통과를 방해하는 에너지 장벽을 형성함을 알 수 있다. 한편, 두 이온채널 부분 전하, 특히 골격에 존재하는 카르보닐기의 쌍극자 모멘트에 의해 이온채널 내부에는 0 보다 작은 정전기 퍼텐셜이 형성된다. 이온채널 내부의 총 정전기 퍼텐셜은 이온채널의 부분 전하에 의한 정전기 퍼텐셜과 유전률 차이에 의한 반응장의 합으로 나타나며, 계산 결과 0 보다 작은 값을 갖는다. 이로부터 본 연구에서 사용된 두 종류의 이온채널이 양이온에 선택성이 있음을 알 수 있다.

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Analysis of electron transport properties in $SF_6$+He mixture gas used by MCS-BE (MCS-BE에 의한 $SF_6$+He 혼합기체의 전자수송특성 해석)

  • 하설철;송병두;유회영;김상남;백승권
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.4
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    • pp.359-364
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    • 2000
  • The paper describes the electron transport characteristics in SP$_{6}$+He gas calculated E/N values 0.1~700[Td] by the Monte Carlos simulation and Boltzmann equation method using a set of electron collision cross sections determined by the authors and the values of electron swarm parameters obtained by TOF method. This study gained the values of the electron swarm parameters such as the electron drift velocity the electron ionization or attachment coefficients longitudinal and transverse diffusion coefficients for SF$_{6}$+He gas at a range of E/N.E/N.

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Analysis of Energy Distribution Function in $SiH_4$ Gas ($SiH_4$ 가스의 에너지 분포함수 관한 연구)

  • Seong, Nak-Jin;Kim, Sang-Nam
    • Proceedings of the KIEE Conference
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    • 2001.07e
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    • pp.76-79
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    • 2001
  • Energy distribution function in $SiH_4$ has been analysed over the E/N range $0.5{\sim}300Td$ and Pressure value 0.5, 1.0, 2.5 Torr by a two-term approximation Boltzmann equation method and by a Monte Carlo simulation. The motion has been calculated to give swarm parameters for the electron drift velocity, diffusion coefficient, electron ionization, mean energy and the electron energy distribution function. The electron energy distribution function has been analysed in $SiH_4$ at E/N=30, 50Td for a case of the equilibrium region in the mean electron energy and respective set of electron collision cross sections.

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Analysis of Two-Dimensional Flow Fields in the Multi-Stage Turbomolecular Pump Using the DSMC Method

  • Heo, Joong-Sik;Hwang, Young-Kyu
    • International Journal of Air-Conditioning and Refrigeration
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    • v.9 no.2
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    • pp.8-18
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    • 2001
  • The direct simulation Monte Carlo Method is applied to investigate the two-dimensional flow fields of a turbomolecular pump(TMP) in both molecular and transition flow regions. The pumping characteristics of the TMP are investigated for a wide range of the Knudsen number. The maximum of compression ratio and of pumping speed strongly depend on the Knudsen number in transition region, while they weakly depend on the Knudsen number in free molecular flow region. The present numerical results show good agreement with the previously known experimental data. Finally. the results of the single blade row in both molecular and transition regions are used to predict the overall performance of a TMP, which has three kinds of blade with 24-rows.

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A Study on the electron energy diffusion function of the sulphur hexaflouride (SF_6 가스의 전자에너지 분포함수에 관한 연구)

  • ;金相南
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.13 no.2
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    • pp.227-227
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    • 1999
  • The electron energy distributions function were analysed in sulphur hexaflouride at E/N : 500~800(Td) for a case of non-equilibrium region in the mean electron energy. This paper describes the electron transport characteristics in $SF_6$ gas calculated for range of E/N values from 150~800(Td) by the Monte Carlo simulation and Boltzmann equation method using a set of electron collision cross sections determined by the authors and the values of electron swarm parameters. The results gained that the value of ane1ctron swarm parameter such as the e1ectron drift velocity, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients agree with the experimental and theoretical for a range of E/N. The properties of electron avalanches in an electron energy non-equilibrium region.

Analysis of electron transport properties of $CF_4+Ar$ mixtures gas by the TOF method (TOF법에 의한 $CF_4+Ar$ 혼합기체의 전자수송특성 해석)

  • 서상현;하성철;유회영
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1998.06a
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    • pp.279-283
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    • 1998
  • The electron swarm parameters in the$CF_4$(O.l%, 5%)+Ar mixtures are measured by time of flight method over the E/N(Td) range from 10 to 300LTdl. A two-term approximation of the Boltzmann equation analysis and Monte Carlo simulation have been also used to study electron transport coefficients. We have calculated W, NDL, NDT, $\alpha$ and the limiting breakdown electric field to gas mixtures ratio in pure $CF_4$ gas and$CF_4+Ar$ mixtures. The measured results and the calculated results have been compared each other paper.

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Drift Velocities and Distribution Function for Electrons $SF_6$-Ar Mixtures Gas ($SF_6$-Ar 혼합기체의 전자이동속도와 전자분포함수)

  • Kim, Sang-Nam
    • Proceedings of the KIEE Conference
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    • 2008.11b
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    • pp.85-88
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    • 2008
  • Drift velocities and Distribution Function for electrons in $SF_6$-Ar mixtures gas used by MCS-BEq algorithm has been analysed over the E/N range $30{\sim}300[Td]$ by a two term Boltzmann equation and by a Monte Carlo simulation using a set of electron cross sections determined by other authors, experimentally the electron swarm parameters for 0.2[%] and 0.5[%] $SF_6$-Ar mixtures were measured by time-of-flight method, The results show that the deduced electron drift velocities agree reasonably well with theoretical for a rang of E/N values The results simulation have been compared with present and previously obtained data and respective set of electron collision cross sections of the molecules.

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Electron Energy Distribution Function in $CF_4$ Gas used by MCS-BE Algorithm ($CF_4$ 기체의 MCS-BEq 알고리즘에 의한 전자에너지 분포함수)

  • Park, Jae-Sae;Kim, Sang-Nam;Kim, Il-Nam
    • Proceedings of the KIEE Conference
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    • 2002.06a
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    • pp.102-105
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    • 2002
  • In this paper, the electron transport characteristics in $CF_4$ has been analysed over the E/N range 1${\sim}$300 [Td] by a two-term approximation Boltzmann equation method and by a Monte Carlo simulation. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal diffusion coefficient, the ratio of the diffusion coefficient to the mobility, electron ionization and attachment coefficients, effective ionization coefficient, mean energy, collision frequency and the electron energy distribution function. The swarm parameter from the swarm study are expected to serve as a critical test of current theories of low energy electron scattering by atoms and molecules, in particular, as well as crucial information for quantitative simulations of weakly ionized plasmas.

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The analysis on the electron swarm parameter in $SiH_4$+Ar mixtures ($SiH_4$+Ar혼합기체의 전자군 파라미터 해석)

  • Seong, Nak-Jin;Kim, Sang-Nam
    • Proceedings of the KIEE Conference
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    • 2002.06a
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    • pp.106-109
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    • 2002
  • This paper calculates and gives the analysis of electron swarm transport coefficients as described electric conductive characteristics of pure Ar, pure $SiH_4$, Ar + $SiH_4$ mixture gases ($SiH_4$--0.5%, 2.5%, 5%) over the range of E/N =0.01${\sim}$300[Td]. P=0.1, 1, 5.0[Torr] by Monte Carlo the Backward prolongation method of the Boltzmann equation using computer simulation without using expensive equipment. The results have been obtained by using the electron collision cross sections by TOF. PT.SST sampling, compared with the experimental data determined by the other author. It also proved the reliability of the electron collision cross sections and shows the practical values of computer simulation.

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A study of the Insulation Characteristic in $SF_{6}$-$N_2$ Mixture Gases ($SF_{6}$-$N_2$ 혼합기체의 절연특성에 관한 연구)

  • 하성철;송병두
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.11a
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    • pp.613-616
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    • 2001
  • This $SF_{6}$ gas is widely used in industrial of insulation field. In this paper, $N_2$ is mixed to improve pure $SF_{6}$ gas characteristics. Electron transport coefficients in $SF_{6}$-$N_2$ mixture gases are simulated in range of E/N values from 70 to 400 [Td] at 300K and 1 Torr by using Boltzmann equation method. The results of this method, which are like electron drift velocity, ionization coefficient, attachment coefficient, effective ionization coefficient, and critical E/N, can be important data to present characteristic of gas for insulation. Specially critical E/N is a data to evaluate insulation strength of a gas and is presented in this paper for various mixture ratios of $SF_{6}$-$N_2$ mixture gases.

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