论文标题
在二维蓝光帽铁磁铁中损害扩散的瞬态行为
Transient behavior of damage spreading in the two-dimensional Blume-Capel ferromagnet
论文作者
论文摘要
我们使用具有大都会动力学的蒙特卡洛模拟来研究二维自旋损伤传播的瞬态行为。我们发现，对于在模型的晶体场（温度相图）的二阶过渡方案中的特定区域，平均锤击距离在弱损坏的系统中随时间呈指数下降。此外，它的衰减速率似乎在线性地取决于许多哈密顿参数，即晶体场，温度，施加的磁场，也取决于损害的量。最后，使用大都市和格劳伯动力学的比较研究表明，格劳伯方案的平均锤距距离的衰减速率较慢。
We study the transient behavior of damage propagation in the two-dimensional spin-$1$ Blume-Capel model using Monte Carlo simulations with Metropolis dynamics. We find that, for a particular region in the second-order transition regime of the crystal field--temperature phase diagram of the model, the average Hamming distance decreases exponentially with time in the weakly damaged system. Additionally, its rate of decay appears to depend linearly on a number of Hamiltonian parameters, namely the crystal field, temperature, applied magnetic field, but also on the amount of damage. Finally, a comparative study using Metropolis and Glauber dynamics indicates a slower decay rate of the average Hamming distance for the Glauber protocol.
