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A zero-dimensional kinetic study of p-11B fusion gain via the non-Maxwellian proton distribution

Shujun Liu, Di Luo, Yueng-Kay Martin Peng, Jiaqi Dong, Huasheng Xie, Nee-Don Khoo, Hairong Huang, Zhi Li, Bing Liu, Zheng-Mao Sheng2026年6月Plasma Physics and Controlled FusionIF 2.2出版社

In steady-state proton–boron (p-B) fusion systems, achieving optimistic fusion power with limited auxiliary heating power is a prerequisite for net energy gain. The non-Maxwellian proton distribution (NMPD) with a high-energy tail tuned to the peak of the p-B fusion cross-section can enhance fusion reactions but requires recirculating power to maintain, a critical yet underexplored trade-off. To quantitatively evaluate this, we develop a zero-dimensional kinetic model based on Rider’s theoretical framework (Rider 1997 Physics of Plasmas4 1039). The model solves the Fokker–Planck equation under conditions of spatial homogeneity and isotropy, focusing solely on collisional effects. As an optimistic theoretical benchmark, our analysis reveals that: (1) when proton distribution evolution is dominated by proton–proton collisions, maintaining a tailored NMPD could potentially reduce the energy confinement time required for by up to with ion equivalent temperature keV compared to an equivalent Maxwellian plasma assuming recirculating power is ideally offset by auxiliary heating; if fully optimally offset by fusion self-heating, it can enhance the fusion power by at keV and reduce the required energy confinement time for ignition by an order of magnitude. (2) Considering effect of proton-others collisions (protons, electrons, boron ions, and particles), the recirculating power density required to sustain the distribution-when inter-species collisions are included-is 2–3 times higher than that from proton–proton collisions alone. Within this idealized framework, our work provides a systematic evaluation of the fusion reactivity enhancement enabled by the NMPD against the recirculating power required to sustain them, establishing a lower limit for the difficulty of achieving p-B fusion, noting that realistic engineering requirements for ignition are likely to be more stringent.

AIによる論文要約

非マクスウェル型陽子分布を介したp-11B核融合利得の零次元動力学研究
JA核融合研究者、特にp-B燃料や非マクスウェル分布に興味のある方。この研究は、実用的なp-B核融合炉の設計における重要なトレードオフを定量的に評価しているため、エネルギー閉じ込め時間や補助加熱の要件を理解するのに役立ちます。#pB核融合 #非マクスウェル分布 #核融合利得 #FokkerPlanck #陽子-ホウ素
LLM向け: {"Title": "p-11B fusion gain via non-Maxwellian proton distribution", "Authors":…

この研究は、陽子-ホウ素(p-B)核融合において、非マクスウェル型陽子分布(NMPD)を用いることで融合反応を促進できる可能性を探ります。NMPDは高エネルギーの尾部を持つ分布で、融合断面積のピークに合わせて調整されます。しかし、その分布を維持するには再循環電力を必要とするため、正味のエネルギー利得を得るにはトレードオフがあります。著者らはRiderの理論フレームワークに基づく零次元動力学モデルを開発し、衝突効果のみを考慮してFokker-Planck方程式を解きました。結果として、陽子-陽子衝突が支配的な場合、NMPDは等価なマクスウェル分布と比較して、必要なエネルギー閉じ込め時間を最大で○%削減できる可能性があります。一方、他種粒子との衝突を考慮すると、必要な再循環電力密度は2~3倍高くなります。この研究は、p-B核融合の達成困難性に対する下限を提供し、現実的な条件ではさらに厳しいことを示唆しています。

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