论文标题
penrose瓷砖上的沙珀浇头：身份和各向同性动力学
Sandpile toppling on Penrose tilings: identity and isotropic dynamics
论文作者
论文摘要
我们介绍了在网格（正方形，三角形，六角形）和Penrose Tilings上进行沙珀的实验。具有挑战性的部分是对这种模拟器进行编程；而且我们的Javacript代码可以在线提供，可以播放！我们首先在这些Aperiodic结构上介绍了SandPile组的一些身份元素，然后研究最大稳定构型的稳定以及身份，这使得出现了令人惊讶的圆形形状。圆度测量表明，尽管它们差不多，但形状并没有接近完美的圆圈。我们以数值方式比较了这种几乎各向同性的动力学现象。
We present experiments of sandpiles on grids (square, triangular, hexagonal) and Penrose tilings. The challenging part is to program such simulator; and our javacript code is available online, ready to play! We first present some identity elements of the sandpile group on these aperiodic structures, and then study the stabilization of the maximum stable configuration plus the identity, which lets a surprising circular shape appear. Roundness measurements reveal that the shapes are not approaching perfect circles, though they are close to be. We compare numerically this almost isotropic dynamical phenomenon on various tilings.
