论文标题
最近的辐射反应模型和与Landau-Lifschitz模型的第一个数值研究
A first numerical investigation of a recent radiation reaction model and comparison to the Landau-Lifschitz model
论文作者
论文摘要
在最近的工作中，我们提出了经典辐射反作用力的显式和非扰动推导，该截止力是由电荷轨迹周围有限半径的特殊选择建模的。在本文中，我们提供了一个更简单，更简单，更简单的辐射反应模型，以及各自的辐射反作用力与Landau-Lifschitz力之间的系统数值比较作为参考。我们明确地为新力构建了数值流，并呈现模拟中使用的数值集成器，用于延迟方程的高斯 - legendre方法。为了进行比较，我们考虑恒定电场，恒定磁场和平面波的情况。在所有这些情况下，三种力定律之间的偏差都很小。这一出色的共识是两个新方程式的合理性的论点，但也意味着实验分化仍然很难。此外，我们讨论了管半径对轨迹的影响，该轨迹在被认为的政权中很小。我们以比较相应积分器的数值成本进行了比较，发现降低的辐射反应的积分器在数值上是最大的，而Landau-lifschitz的集成剂的效率最低。
In recent work we presented an explicit and non-perturbative derivation of the classical radiation reaction force for a cut-off modelled by a special choice of tubes of finite radius around the charge trajectories. In this paper, we provide a further, simpler and so-called reduced radiation reaction model together with a systematic numerical comparison between both the respective radiation reaction forces and the Landau-Lifschitz force as a reference. We explicitly construct the numerical flow for the new forces and present the numerical integrator used in the simulations, a Gauss-Legendre method adapted for delay equations. For the comparison, we consider the cases of a constant electric field, a constant magnetic field, and a plane wave. In all these cases, the deviations between the three force laws are shown to be small. This excellent agreement is an argument for plausibility of both new equations but also means that an experimental differentiation remains hard. Furthermore, we discuss the effect of the tube radius on the trajectories, which turns out to be small in the regarded regimes. We conclude with a comparison of the numerical cost of the corresponding integrators and find that the integrator of the reduced radiation reaction to be numerically most and the integrator of Landau-Lifschitz least efficient.
