Appearance of a homochiral state of crystals induced by random fluctuation in grinding
Appearance of a homochiral state of crystals induced by random fluctuation in grinding
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研磨中随机波动引起的晶体纯手性状态的出现
DOI：
10.1103/physreve.86.051608
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Makio Uwaha
中科院分区：
文献类型：
--
作者：
Hiroyasu Katsuno;Makio Uwaha
本文利用基于简单反应模型的主方程研究了手性晶体从非手性分子中的结晶。虽然在反应模型中没有手性对称性破缺，但随机涨落驱动系统到纯手性态。出现同手性状态所需的时间与系统中分子的总数成正比。这种行为是由一个扩散方程在尺寸空间与位置相关的扩散系数。我们还研究了手性杂质对晶体生长的影响。根据杂质的类型，手性对称性破缺要么确定性地发生，要么在随机波动的帮助下发生。
We study crystallization of chiral crystals from achiral molecules using a master equation based on a simple reaction model. Although there is no chiral symmetry breaking in the reaction model, random fluctuations drive the system to a homochiral state. The time necessary for the appearance of the homochiral state is proportional to the total number of molecules in the system. This behavior is described by a diffusion equation in a size space with a position-dependent diffusion coefficient. We also study the effect of chiral impurities, which affect the crystal growth. Depending on the type of impurities, the chiral symmetry breaking occurs either deterministically or with the help of random fluctuations.