• 제목/요약/키워드: Boltzmann Equation

검색결과 221건 처리시간 0.023초

2항근사 볼츠만 방정식을 이용한 Xe분자가스의 전자수송계수의 해석 (The study of electron transport coefficients in pure Xe by 2-term approximation of the Boltzmann equation)

  • 마수영;전병훈;김송강
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2001년도 춘계학술대회 논문집 유기절연재료 전자세라믹 방전플라즈마 연구회
    • /
    • pp.174-177
    • /
    • 2001
  • The electron transport coefficients, the electron drift velocity W, the longitudinal diffusion coefficient $ND_L$ and $D_L/{\mu}$, in pure Xe were calculated over the wide E/N range from 0.01 to 500 Td at 1 Torr by two-term approximation of the Boltzmann equation for determination of electron collision cross sections set and for quantitative characteristic analysis of Xe molecular gas.

  • PDF

2항근사 볼츠만 방정식을 이용한 Ne분자가스의 전자수송계수의 해석 (The study of electron transport coefficients in pure Ne by 2-term approximation of the Boltzmann equation)

  • 전병훈;강명희;김송강
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2001년도 춘계학술대회 논문집 유기절연재료 전자세라믹 방전플라즈마 연구회
    • /
    • pp.182-185
    • /
    • 2001
  • The electron transport coefficients, the electron drift velocity W, the longitudinal diffusion coefficient $ND_L$ and $D_L/{\mu}$, in pure Ne were calculated over the wide E/N range from 0.01 to 300 Td at 1 Torr by two-term approximation of the Boltzmann equation for determination of electron collision cross sections set and for quantitative characteristic analysis of Ne molecular gas.

  • PDF

2항근사 볼츠만 방정식을 이용한 $CF_4$분자가스의 전자수송계수의 해석 (The study of electron transport coefficients in pure $CF_4$ by 2-term approximation of the Boltzmann equation)

  • 전병훈;하성철
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2001년도 춘계학술대회 논문집 유기절연재료 전자세라믹 방전플라즈마 연구회
    • /
    • pp.29-32
    • /
    • 2001
  • We measured the electron transport coefficients(the electron drift velocity, W, and the longitudinal diffusion coefficient, $D_L$) in pure $CF_4$ over the E/N range from 0.04 Td to 250 Td by the double shutter drift tube. And these electron transport coefficients in pure $CF_4$ were calculated over the E/N range from 0.01 to 250 Td at 1 Torr by using the two-term approximation of the Boltzmann equation.

  • PDF

Determination of Inelastic Collision Cross Sections for $C_{3}F_{8}$ Molecule by Multi-term Boltzmann Equation Analysis

  • Jeon, Byung-Hoon;Ha, Sung-Chul
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2000년도 하계학술대회 논문집
    • /
    • pp.934-941
    • /
    • 2000
  • We measured the electron transport coefficients, the electron drift velocity W and the longitudinal diffusion coefficient $D_{L}$ in the 0.526% and 5.05% $C_{3}F_{8}$-Ar mixtures over the E/N range from 0.01 Td to 100 Td by the double shutter drift tube, and compared the measured results by Hunter et al. with those. We determined the inelastic collision cross sections for the $C_{3}F_{8}$ molecule by the comparison of the present measurements and the calculation of electron transport coefficients in the $C_{3}F_{8}$-Ar mixtures by using a multi-term Boltzmann equation analysis.

  • PDF

전자 Swarm법에 의한 $SiH_4$ 플라즈마의 전자이동속도 및 특성에너지 해석 (The Analysis of the Electron Drift Velocity and Characteristics Energy in $SiH_4$ Plasma gas by Electron Swarm method)

  • 이형윤;백승권;하성철
    • 한국전기전자재료학회논문지
    • /
    • 제12권1호
    • /
    • pp.88-93
    • /
    • 1999
  • This paper describes the electron transport characteristics in $SiH_4$ gas calculated for the range of E/n:0.5~300(Td) and Pressure:0.5, 1, 2.5(Torr) by the Monte carlo simulation and Boltzmann equation method using a set of electron collision cross sections determined by the reported results. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal and transverse diffusion coefficients, the electron ionization coefficients, characteristics energy and the electron energy distribution function. The electron energy distributions function has been analysed in $SiH_4$ at E/N: 30, 50(Td)for a case of the equilibrium region in the mean electron energy and respective set of electron collision cross sections. The results of Monte carlo simulation and Boltzmann equation have been compared with experimental data by ohmori ad Pollock.

  • PDF

시뮬레이션을 이용한 $SF_6$-Ar혼합기체의 전자 평균에너지 (A Simulation of the Mean energy of electrons in $SF_6$-Ar Mixtures Gas)

  • 김상남
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2005년도 하계학술대회 논문집 Vol.6
    • /
    • pp.578-580
    • /
    • 2005
  • Energy distribution function for electrons in SF6-Ar mixtures gas used by MCS-BEq algorithm has been analysed over the E/N range 30~300[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 TOF method, The results show that the deduced electron drift velocities, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients and mean energy agree reasonably well with theoretical for a rang of E/N values. The results obtained from Boltzmann equation method and Monte Carlo simulation have been compared with present and previously obtained data and respective set of electron collision cross sections of the molecules.

  • PDF

ResNet을 기반으로 한 Poisson-Boltmann 방정식의 풀이법 (ResNet based solver for Poisson-Boltzmann equation)

  • 조광현
    • 한국정보통신학회:학술대회논문집
    • /
    • 한국정보통신학회 2022년도 춘계학술대회
    • /
    • pp.216-217
    • /
    • 2022
  • Poisson-Boltzmann은 세포안의 전하의 영향을 기술하는 방정식이며, 생물 등의 분야에서 중요한 역할을 한다. 본 발표에서는 ResNet을 기반으로 한 PBE의 솔루션 예측 방법을 소개 한다. 먼저 FEM을 기반으로 한 방법으로 sample들을 생성한다. 그리고, 세포의 모양과 전하의 위치를 input으로 하고, 전위를 output으로 하는 network를 훈련시킨다.

  • PDF

Electrokinetic flow and electroviscous effect in a charged slit-like microfluidic channel with nonlinear Poisson-Boltzmann field

  • Chun, Myung-Suk;Kwak, Hyun-Wook
    • Korea-Australia Rheology Journal
    • /
    • 제15권2호
    • /
    • pp.83-90
    • /
    • 2003
  • In cases of the microfluidic channel, the electrokinetic influence on the transport behavior can be found. The externally applied body force originated from the electrostatic interaction between the nonlinear Poisson-Boltzmann field and the flow-induced electrical field is applied in the equation of motion. The electrostatic potential profile is computed a priori by applying the finite difference scheme, and an analytical solution to the Navier-Stokes equation of motion for slit-like microchannel is obtained via the Green's function. An explicit analytical expression for the induced electrokinetic potential is derived as functions of relevant physicochemical parameters. The effects of the electric double layer, the zeta potential of the solid surface, and the charge condition of the channel wall on the velocity profile as well as the electroviscous behavior are examined. With increases in either electric double layer or zeta potential, the average fluid velocity in the channel of same charge is entirely reduced, whereas the electroviscous effect becomes stronger. We observed an opposite behavior in the channel of opposite charge, where the attractive electrostatic interactions are presented.

하전된 멤브레인 미세기공에서의 계면동전기적 유동에 의한 흐름전위: 비선형 Poisson-Boltzmann 전기장을 갖는 경우 (Electrokinetically Flow-Induced Streaming Potential Across the Charged Membrane Micropores: for the Case of Nonlinear Poisson-Boltzmann Electric Field)

  • Myung-Suk Chun
    • 멤브레인
    • /
    • 제13권1호
    • /
    • pp.37-46
    • /
    • 2003
  • 하전된 멤브레인 미세기공으로 유체가 흐르는 경우는 계면동전기 효과가 작용하게 된다. 비선형 Poisson-Boltzmann 전기장과 흐름에 의해 유발되는 전기장 사이의 정전상호작용을 운동방정식의 외부작용 힘으로 고려하였다. 유한차분법으로 정전위 분포를 우선 산출하고, 이어서 Green 함수로 슬릿형 기공에 대한 Navier-Stokes 식의 해석해를 구하였다. 계면동전기적 유동에 의한 흐름전위를 관련된 물리화학적 인자들의 함수로 유도되는 해석적인 명확한 표현으로 제시하였다. 전기이중층, 표면전위, 그리고 기공벽면의 하전조건의 영향에 따른 유속분포와 흐름전위 변화를 고찰하였다 계산결과, 전기이중층 두께나 표면전위가 증가함에 따라 평균유속은 감소하는 반면에 흐름전위는 증가하였다.

Lattice-Boltzmann Method를 이용한 2차원 기체-액체간 거동 기초 연구 (Feasibility Study on the Gas-Liquid Multiphase by Lattice-Boltzmann Method in Two-Dimensions)

  • 정노택
    • 한국해양환경ㆍ에너지학회지
    • /
    • 제19권2호
    • /
    • pp.111-119
    • /
    • 2016
  • 기체-액체 이상유동의 거동 시뮬레이션을 위해 Lattice Boltzmann방법(LBM)을 이용하였다. 기체-액체사이의 경계면에서 상호포텐셜 모델인 Shen-Chan방식과 Carnahan-Starling 상태방정식을 도입하였다. 또한 외력항의 처리는 Exact Difference Method를 사용하였다. 개발된 코드를 통하여 상태방정식 특성파악, 기체-액체의 상분리, 표면장력 및 기체 액체 경계면 거동 특성, Homogeneous와 Heterogeneous 캐비테이션, 기포 붕괴등의 시뮬레이션을 수행하였다.