Neutron yield and disassembly time during the fusion of laser driven cluster plasma
- Abstract
- 레이저 클러스테 핵융합 연구 중 플라즈마 생성은 쿨롱 폭발 모델을 통해 설명한다. 쿨롱 폭발 모델을 기반으로 한 계산에 따르면 레이저가 중수소 클러스터를 이온화 시킨 후 2∼4 ps 시간이 지난 뒤 이온이 균등하게 분포된다. 이러한 환경에서 쿨롱 폭발 이후 플라즈마가 어떻게 확산하는지를 계산하여 시간에 따른 플라즈마 밀도의 변화를 알아 냈다. 단일 클러스터의 쿨롱 폭발 이 후 이온들의 속도분포를 분석한 후, 이를 기반으로 레이저가 지나간 길(플라즈마 원기둥)의 모든 이온의 속도분포를 구했다. 초기상태의 플라즈마원기둥의밀도분포와속도분포를결합하여이온의밀도변화에대한이론을구 축했다. 선행 연구의 중성자 수율 모델에 새로 구해낸 플라즈마 밀도를 적용하여 중성자 수율과 분해 시간을 구할 것이다.|A Coulomb explosion model explains the plasma formation during laser cluster fusion. According to calculations based on this model, the ions distribute uniformly within approximately 2∼4 ps following the laser ionization of deuterium fuel. We in- vestigated the evolution of plasma density after the Coulomb explosion by calculating its time-dependent behavior in such an environment. By analyzing the velocity distri- bution of a single cluster post-Coulomb explosion, we derived the velocity distribution of the entire plasma filament. A theoretical framework was developed to determine the evolution of the plasma density by convoluting the velocity distribution function with the initial cylindrical density profile. The neutron yield and disassembly time will be predicted using neutron production rate models discussed in previous studies, incorporating plasma density through a novel approach.
- Author(s)
- 노용훈
- Issued Date
- 2025
- Type
- Thesis
- URI
- https://scholar.gist.ac.kr/handle/local/19522
- Alternative Author(s)
- Yonghun Noh
- Department
- 대학원 물리·광과학과
- Advisor
- Bang, Woosuk
- Table Of Contents
- Abstract (English) i
Abstract (Korean) ii
List of Contents iii
List of Figures v
1 Introduction 1
1.1 Laer-based approaches to nuclear fusion 1
1.2 Laser cluster fusion based on Coulomb explosion of deuterium cluster . 2
1.3 Motivation and Questions 5
2 Time evolution of the plasma used in Laser Cluster Fusion 6
2.1 Configuration of the plasma formed by laser induced Coulomb explosion 6
2.2 Evolution of a uniformly charged spherical cluster during Coulomb ex-
plosion 7
2.2.1 Velocity distribution during Coulomb explosion 11
2.2.2 Cluster size distribution and the velocity distribution in the whole
plasma filament 13
2.3 Formalism for plasma density evolution 15
2.3.1 Alternative approach : Direct integration for the evolution of
plasma initially in a sphere 19
2.3.2 Alternative approach : Direct integration for plasma initially in
a cylinder 21
3 Neutron Yield and Disassembly Time 24
3.1 Local Fusion reaction rate 24
3.1.1 Rate equation 24
3.1.2 Evaluation of the autocorrelation function of the phase space
density function 26
3.1.3 Fusion cross-section 29
3.1.4 Spatio-Temporal dependent reaction rate 30
3.2 Calculation of the Neutron Yield and Disassmbly Time 31
– iii –
3.2.1 Neutron Yield Calculation 31
3.2.2 Disassembly Time 35
Summary 36
References 37
A Python Codes 39
A.1 Position and velocity of particles in a cluster during Coulomb explosion 39
A.2 Evolution of a cylindrical plasma 40
A.3 BB fusion yield over time 43
A.3.1 Part1 : Density Autocorrelation 43
A.3.2 Part2 : Velocity Autocorrelation 44
A.3.3 Part3 : Interpolation and Crosssection 45
A.3.4 Part4 : Fusion Yield and Disassembly time 46
Acknowledgements 47
– iv –
- Degree
- Master
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Appears in Collections:
- Department of Physics and Photon Science > 3. Theses(Master)
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