Bowie C A, Hole M J
Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia.
Phys Rev E. 2020 Jan;101(1-1):013207. doi: 10.1103/PhysRevE.101.013207.
Sandpile models have been used to provide simple phenomenological models without incorporating the detailed features of a fully featured model. The Chapman sandpile model [Chapman et al., Phys. Rev. Lett. 86, 2814 (2001)PRLTAO0031-900710.1103/PhysRevLett.86.2814] has been used as an analog for the behavior of a plasma edge, with mass loss events being used as analogs for edge-localized modes (ELMs). In this work we modify the Chapman sandpile model by providing for both increased and intermittent driving. We show that the behavior of the sandpile, when continuously fuelled at very high driving, can be determined analytically by a simple algorithm. We observe that the size of the largest avalanches is better reduced by increasing constant driving than by the intermittent introduction of "pellets" of sand. Using the sandpile model as a reduced model of ELMing behavior, we conject that ELM control in a fusion plasma may similarly prove more effective with increased total fuelling than with pellet addition.
沙堆模型已被用于提供简单的唯象模型，而无需纳入全功能模型的详细特征。查普曼沙堆模型[查普曼等人，《物理评论快报》86, 2814 (2001)PRLTAO0031 - 900710.1103/PhysRevLett.86.2814]已被用作等离子体边缘行为的类比，质量损失事件被用作边缘局域模（ELMs）的类比。在这项工作中，我们通过提供增加的和间歇性的驱动来修改查普曼沙堆模型。我们表明，当在非常高的驱动下持续供料时，沙堆的行为可以通过一个简单的算法进行解析确定。我们观察到，通过增加恒定驱动比通过间歇性引入沙“颗粒”能更好地减小最大雪崩的规模。将沙堆模型用作ELMing行为的简化模型，我们推测在聚变等离子体中，增加总供料可能比添加颗粒更有效地控制ELM。
