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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국진공학회(ASCT) Applied Science and Convergence Technology Applied Science and Convergence Technology Vol.32 No.3
- 발행연도
- 2023.5
- 수록면
- 69 - 72 (4page)
이용수
초록· 키워드
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The Poisson-Boltzmann equation is a well-known nonlinear differential equation that is fundamental in plasma theory. However, since it has nonlinear characteristics, the conditions and situations for obtaining analytical solutions are limited. Therefore, research and development on ways to obtain solution through numerical analysis methods have been continued. In this paper, a numerical method using the Lambert W function to solve the nonlinear Poisson-Boltzmann equation is explained. To investigate the applicability of the current method, three cases were assumed: a uniform ion density, the collisionless sheath of cold ion plasma and a nonuniform ion density. Solutions can also obtained even if the density of the ions is given as a function of the potential. In this case, the iterative steps can be integrated and simplified further.
목차
ABSTRACT
1. Introduction
2. Lambert function method
3. Calculation and analysis
4. Conclusions
References
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