论文标题
纳米晶可塑性中的缩放行为多种多样
Variety of scaling behaviors in nanocrystalline plasticity
论文作者
论文摘要
我们解决了一个问题，为什么较大的高对称晶体大多数弱，延性和统计上的亚临界，而具有相同对称性的较小晶体则强，脆性和超临界。我们将其链接到另一个问题，即为什么间歇性弹性塑料变形的亚微米晶体具有缩放指数的高度不寻常的尺寸灵敏度。我们使用晶体可塑性的最小整数价值自动机模型，以表明随着淬火障碍的差异的增加，在这种情况下，它可以用作增加尺寸的代理，次级微米晶体从旋转玻璃边缘性到临界性的临界性到表征二阶Britter-toctile-toctile to to to to to to to to to to britter to to-toctile（Bd）过渡。我们认为，这种跨界是在物理和数值实验中观察到的缩放指数的非宇宙性背后的背后。仅当淬火疾病在弹性上不兼容时才出现，并且如果该疾病兼容，则会消失。
We address the question of why larger, high symmetry crystals are mostly weak, ductile and statistically sub-critical, while smaller crystals with the same symmetry are strong, brittle and super-critical. We link it to another question of why intermittent elasto-plastic deformation of sub-micron crystals features highly unusual size sensitivity of scaling exponents. We use a minimal integer-valued automaton model of crystal plasticity to show that with growing variance of quenched disorder, which can serve in this case as a proxy for increasing size, sub-micron crystals undergo a crossover from spin-glass marginality to criticality characterizing the second order brittle-to-ductile (BD) transition. We argue that this crossover is behind the non-universality of scaling exponents observed in physical and numerical experiments. The non-universality emerges only if the quenched disorder is elastically incompatible and it disappears if the disorder is compatible.
