论文标题

辐射源的前繁殖

Front Propagation from Radiative Sources

论文作者

Steele, Theodore, Wu, Kinwah

论文摘要

前部是在媒介中从一个状态到另一个状态的过渡区域。它们存在于许多科学和应用数学领域,对它们进行建模,并且它们的进化通常是治疗对它们负责的基本现象的有效方法。在本文中,我们提出了一种建模前繁殖的新方法,该方法描述了辐射源周围结构的演变。这种方法是通用的,并且具有广泛的应用,尤其是在处理辐射发射对象周围介质中相位或状态过渡的传播时。作为例证,我们在宇宙学时期(eOR)中展示了建模早期恒星周围电离前线的传播的应用,并表明结果与现有方程的结果一致,但提供了更丰富的信息来源。

Fronts are regions of transition from one state to another in a medium. They are present in many areas of science and applied mathematics, and modelling them and their evolution is often an effective way of treating the underlying phenomena responsible for them. In this paper, we propose a new approach to modelling front propagation, which characterises the evolution of structures surrounding radiative sources. This approach is generic and has a wide range of applications, particularly when dealing with the propagation of phase or state transitions in media surrounding radiation emitting objects. As an illustration, we show an application in modelling the propagation of ionisation fronts around early stars during the cosmological Epoch of Reionisation (EoR) and show that the results are consistent with those of existing equations but provide much richer sources of information.

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