非稳态枝晶时间演化的普适性
Universality of time evolution for the unsteady dendrite
摘要：
对氯化铵水溶液在毛细管中结晶过程中枝晶的非稳态生长进行了实验研究。测量了沿主分支和侧分支定位的各个扇区的晶体面积S对时间t的依赖性。本文提出并证实了一个假设，即对于不稳定枝晶的不同但同时生长的部分，面积变化与面积本身的比值（S '（t）/S（t））是相同的。该结论允许提出用于描述枝晶面积（或其部分）的演变的曲线，其形式为S（t）=const*exp（-b*t）*t^a，其中a和b是参数，其值在本文中确定。S（t）和S ′（t）/S（t）的无量纲化（使用完整的枝晶生长时间）导致取决于单个参数（α）的简单的单参数函数（α可能仅与结晶系统的物理和化学特性相关，在我们的情况下，等于1.7+/-0.2）。
英文摘要：
Unsteady growth of ammonium chloride dendrites during crystallization from an aqueous solution in a thin capillary is experimentally investigated. Dependency of the crystal area S on the time t for various sectors located along a primary branch and sidebranches is measured. A hypothesis of the same ratio between the area change and the area itself (S'(t)/S(t)) for different but simultaneously growing parts of an unsteady dendrite is advanced and confirmed. This conclusion allows proposing a curve for describing the evolution of the dendrite area (or its part) of the form S(t)=const*exp(-b*t)*t^a, where a and b are the parameters, whose values are determined in the paper. The nondimensionalization of S(t) and S'(t)/S(t) (using the full dendrite growth time) results in simple one-parameter functions depending on a single parameter (a) (which is presumably associated only with physical and chemical characteristics of the crystallized system and, in our case, equals 1.7+/-0.2).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
