论文标题
拓扑类型在晶粒生长微观结构中的分布
Distribution of Topological Types in Grain-Growth Microstructures
论文作者
论文摘要
研究正常谷物生长的一个开放问题涉及微观结构融合的渐近状态。特别是，谷物拓扑的分布尚不清楚。我们介绍了一种类似热力学的理论，可以在两维系统中解释这些分布。 In particular, a bending-like energy $E_i$ is associated to each grain topology $t_i$, and the probability of observing that particular topology is proportional to $\frac{1}{s(t_i)}e^{-βE_i}$, where $s(t_i)$ is the order of an associated symmetry group and $β$ is a thermodynamic-like constant.我们解释了这种方法的物理起源，并提供了支持的数值证据。
An open question in studying normal grain growth concerns the asymptotic state to which microstructures converge. In particular, the distribution of grain topologies is unknown. We introduce a thermodynamic-like theory to explain these distributions in two- and three-dimensional systems. In particular, a bending-like energy $E_i$ is associated to each grain topology $t_i$, and the probability of observing that particular topology is proportional to $\frac{1}{s(t_i)}e^{-βE_i}$, where $s(t_i)$ is the order of an associated symmetry group and $β$ is a thermodynamic-like constant. We explain the physical origins of this approach, and provide numerical evidence in support.
