标题： TransFit：一种针对时变辐射扩散的时间依赖性光曲线拟合的有效框架 显示英文标题

标题： TransFit: An Efficient Framework for Transient Light-Curve Fitting with Time-Dependent Radiative Diffusion

摘要： 建模亮曲线（LCs）对于理解明亮的天文瞬变现象（如超新星）的前身物理至关重要，尤其是在调查数据呈指数增长的情况下。 然而，现有的方法存在局限性：高效的半解析模型（如Arnett类似模型）采用显著的物理简化（如时间不变的温度剖面和简化的加热分布），这通常会损害准确性，特别是在早期LCs方面。 相反，详细的数值辐射传输模拟虽然准确，但对于大规模数据集来说计算上是不可行的。 本文介绍了一种名为TransFit的新框架，该框架数值求解了一个广义的能量守恒方程，明确地包含了时变辐射扩散、连续的放射性或中心引擎加热以及喷发物膨胀动力学。 该模型准确捕捉了关键喷发物属性和多样化的加热源特性对光曲线形态的影响，包括峰值亮度、上升时间和整体形状。 此外，TransFit提供了从冲击冷却到 $^{56}$Ni\}-驱动光曲线过渡的一致建模。 通过结合物理真实性和计算速度，TransFit提供了一个强大的工具，能够高效地反演LCs并从当前和未来瞬变调查的大规模数据集中提取详细的物理见解。 显示英文摘要

摘要： Modeling the light curves (LCs) of luminous astronomical transients, such as supernovae, is crucial for understanding their progenitor physics, particularly with the exponential growth of survey data. However, existing methods face limitations: efficient semi-analytical models (e.g., Arnett-like) employ significant physical simplifications (like time-invariant temperature profiles and simplified heating distributions), often compromising accuracy, especially for early-time LCs. Conversely, detailed numerical radiative transfer simulations, while accurate, are computationally prohibitive for large datasets. This paper introduces TransFit, a novel framework that numerically solves a generalized energy conservation equation, explicitly incorporating time-dependent radiative diffusion, continuous radioactive or central engine heating, and ejecta expansion dynamics. The model accurately captures the influence of key ejecta properties and diverse heating source characteristics on light curve morphology, including peak luminosity, rise time, and overall shape. Furthermore, TransFit provides self-consistent modeling of the transition from shock-cooling to $^{56}$Ni}-powered light curves. By combining physical realism with computational speed, TransFit provides a powerful tool for efficiently inverting LCs and extracting detailed physical insights from the vast datasets of current and future transient surveys.