论文标题
局部负载共享纤维束中发射能量的尺寸分布
Size distribution of emitted energies in local load sharing fiber bundles
论文作者
论文摘要
我们研究了局部负载共享纤维束模型及其能量爆发统计。尽管众所周知，该模型的雪崩尺寸分布是指数级的，但我们在这里数字显示该版本的雪崩大小（$ s $）和相应的能量突发（$ e $）具有非线性关系（$ e \ sim s^γ$）。数值结果表明，对于不同的故障阈值分布，$γ\约2.5美元。通过这种数值观察，可以证明能量爆发分布是幂律，通用指数值为$ - （γ+1）$。
We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size ($s$) and the corresponding energy burst ($E$) in this version of the model have a non-linear relation ($E\sim s^γ$). Numerical results indicate that $γ\approx 2.5$ universally for different failure threshold distributions. With this numerical observation, it is then possible to show that the energy burst distribution is a power law, with a universal exponent value of $-(γ+1)$.
