论文标题
经受正弦驱动的沙珀
Sandpiles Subjected to Sinusoidal Drive
论文作者
论文摘要
本文考虑了一个经受正弦外部驱动器的沙珀模型，并带有$ t $。我们以$ t $限制为绿色功能开发了一个理论模型，该模型预测雪崩是各向异性的，并且在振荡方向上伸长。我们通过数值跟踪问题，并表明该系统还显示了一个方案，即雪崩相对于振荡，雪崩沿垂直方向拉长。我们发现这两个制度之间的过渡点。研究了雪崩尺寸的功率谱和从平行和垂直方向浪费的谷物。这些功能显示了用$ t $运行的指数的频率行为。
This paper considers a sandpile model subjected to a sinusoidal external drive with the time period $T$. We develop a theoretical model for the Green function in a large $T$ limit, which predicts that the avalanches are anisotropic and elongated in the oscillation direction. We track the problem numerically and show that the system shows additionally a regime where the avalanches are elongated in the perpendicular direction with respect to the oscillations. We find a transition point between these two regimes. The power spectrum of avalanche size and the grains wasted from the parallel and perpendicular directions are studied. These functions show power-law behaviour in terms of the frequency with exponents, which run with $T$.
