论文标题
狭窄通道中二维树突状晶体生长的缩放定律
Scaling laws for two-dimensional dendritic crystal growth in a narrow channel
论文作者
论文摘要
我们在分析和计算上研究了熔融在狭窄的通道中熔化的2D针晶体生长的动力学。我们的分析理论预测，在低过饱和极限下，作为功率定律$ v \ sim t^{ - 2/3} $的增长速度$ v $减少了，我们通过相位和dendritic-needle-network-network-network-network-network-network-network-network-network-network-network-network-network-netWork-network-network-network-network-network-network-network-network-network-network Simulations进行了验证。模拟进一步显示，在关键通道宽度$λ\大约5l_d $上方，其中$ l_d $扩散长度，针晶体以常数$ v <v_s $生长，其中$ v_s $是自由生长的针晶体速度，并且接近$ v_s $ v_s $ v_s $ in lim $ v_gg gg gg l_d l_d $。
We investigate analytically and computationally the dynamics of 2D needle crystal growth from the melt in a narrow channel. Our analytical theory predicts that, in the low supersaturation limit, the growth velocity $V$ decreases in time $t$ as a power law $V \sim t^{-2/3}$, which we validate by phase-field and dendritic-needle-network simulations. Simulations further reveal that, above a critical channel width $Λ\approx 5l_D$, where $l_D$ the diffusion length, needle crystals grow with a constant $V<V_s$, where $V_s$ is the free-growth needle crystal velocity, and approaches $V_s$ in the limit $Λ\gg l_D$.
