AI 中文总结
研究巨行星和海王星以下行星核幔简并性问题，提出开源静态结构积分器fuzzycore，通过求解流体静力平衡等进行参数扫描和建模，能描绘内部简并性，生成水世界简并性图谱，还可作为正向模型后端联系大气与内部结构。
AI 中文摘要
巨行星中稀薄的“模糊”核和海王星以下行星中大量挥发性幔层的广泛认知，使内部建模成为一个高度简并的多维问题。为了描绘这些简并性，我们提出了fuzzycore，这是一个开源的静态结构积分器，具有统一的分层架构，涵盖从岩石 - 水 - 幔层的海王星以下行星到富含挥发性物质的气态巨行星。该框架支持在固定观测值（$M_p$，$R_p$，$Z_{atm}$）下对成分梯度进行密集参数扫描，能够在半径谷和热巨行星群体中进行一致的正向模型探索。它通过在气态包层下方求解相分离的铁、岩石和水层的流体静力平衡，使用高分辨率自适应网格对任意重元素梯度进行建模，并对稀释宽度进行参数化，以评估不同核幔边界的结构影响。我们将fuzzycore与基于演化的木星剖面进行基准测试，表明当包层边界金属丰度和综合重元素预算匹配时，宏观半径对梯度的精确函数拓扑结构具有2.3%以内的鲁棒性，允许进行平滑参数化以密集描绘内部简并性。将此应用于海王星以下行星区域，我们生成了一个水世界简并性图谱，量化了所需的包层金属丰度和稀释宽度如何与假设的水质量分数进行权衡，以再现固定的行星半径。通过将结构剖析与时间相关能量传输和对流混合解耦，fuzzycore以互补而非替代完全演化的Henyey处理的分辨率描绘静态简并性，并作为将JWST和Ariel的大气金属丰度先验与深层内部结构联系起来的正向模型后端。
英文摘要
The widespread recognition of dilute, "fuzzy" cores in giant planets and massive volatile mantles in sub-Neptunes has made interior modelling a highly degenerate, multi-dimensional problem. To map these degeneracies, we present fuzzycore, an open-source static structural integrator with a unified layered architecture spanning rock-water-envelope sub-Neptunes through volatile-rich gas giants. The framework supports dense parameter sweeps over compositional gradients at fixed observed $(M_p, R_p, Z_{atm})$, enabling consistent forward-model exploration across the radius valley and the warm-giant population. It solves hydrostatic equilibrium across phase-separated iron, rock, and water layers beneath a gaseous envelope, using a highly resolved adaptive grid to model arbitrary heavy-element gradients and parameterising the dilution width to evaluate the structural impact of varying core-envelope boundaries. We benchmark fuzzycore against an evolution-derived Jupiter profile, demonstrating that when envelope boundary metallicities and integrated heavy-element budgets are matched, the macroscopic radius is robust to the exact functional topology of the gradient to within 2.3%, allowing smooth parameterisations to densely map interior degeneracies. Applying this to the sub-Neptune regime, we generate a water-world degeneracy atlas, quantifying how the required envelope metallicity and dilution width trade off against assumed water-mass fractions to reproduce a fixed planetary radius. By decoupling structural profiling from time-dependent energy transport and convective mixing, fuzzycore maps static degeneracies at resolutions that complement, rather than replace, fully evolutionary Henyey treatments, and serves as a forward-model backend for linking atmospheric metallicity priors from JWST and Ariel to deep interior architectures.
Comments18 pages, 13 figures
