标题： 近似旋转和串联镜像阱中的粒子分布 显示英文标题

标题： Approximating the Particle Distribution in Rotating and Tandem Mirror Traps

摘要： 稳态分布函数可用于计算模式的稳定性条件、辐射能量损耗以及粒子损失率。这些分布的启发式分析近似值可以捕捉到真实分布的关键行为，同时在计算上优于其数值对应物。 本文中，我们提出了一个用于描述旋转对称或串联镜像装置中粒子分布的封闭形式解析模型，并对其进行了推导和阐述。 我们发现，在低约束势能的狭窄范围内之外，我们的模型在近似数值稳态模拟时优于其他已知模型。我们还展示了该模型在高约束势能条件下适用于诸如损失锥稳定性阈值、聚变产额和可用能量等应用场合。 显示英文摘要

摘要： Steady state distribution functions can be used to calculate stability conditions for modes, radiation energy losses, and particle loss rates. Heuristic analytic approximations to these distributions can capture key behaviors of the true distributions while possessing computational advantages over their numerical counterparts. In this paper, we motivate and present a closed-form analytic model for a distribution of particles in a centrifugal or tandem mirror. We find that our model outperforms other known models in approximating numerical steady-state simulations outside of a narrow range of low confining potentials. We demonstrate the model's suitability in the high confining potential regime for applications such as loss cone stability thresholds, fusion yields, and available energy.