标题： 将平均场理论与发电机模拟相连接 显示英文标题

标题： Connecting mean-field theory with dynamo simulations

摘要： 平均场发电机理论，描述大尺度磁场的演化，在过去几十年中一直是解释天体物理物体（如太阳）磁性的主要理论框架。 近年来，三维磁流体动力学模拟已经达到一定的保真度，能够在局部和全球尺度上自洽地捕捉发电机作用，而无需对未解析尺度进行参数化。 最近的全球模拟也捕捉到了太阳和恒星大尺度磁场及周期的许多观测特征。 用相应的平均场模型成功解释这些模拟的结果是平均场发电机理论的一个关键验证步骤。 本文回顾了平均场理论与当前发电机模拟之间的联系。 这些联系包括湍流输运系数的数值计算到模拟的平均场模型，以及它们与太阳发电机的相关性。 最后，总结了平均场理论在解释模拟中的最显著成就和当前挑战。 显示英文摘要

摘要： Mean-field dynamo theory, describing the evolution of large-scale magnetic fields, has been the mainstay of theoretical interpretation of magnetism in astrophysical objects such as the Sun for several decades. More recently, three-dimensional magnetohydrodynamic simulations have reached a level of fidelity where they capture dynamo action self-consistently on local and global scales without resorting to parametrization of unresolved scales. Recent global simulations also capture many of the observed characteristics of solar and stellar large-scale magnetic fields and cycles. Successful explanation of the results of such simulations with corresponding mean-field models is a crucial validation step for mean-field dynamo theory. Here the connections between mean-field theory and current dynamo simulations are reviewed. These connections range from the numerical computation of turbulent transport coefficients to mean-field models of simulations, and their relevance to the solar dynamo. Finally, the most notable successes and current challenges in mean-field theoretical interpretations of simulations are summarized.