摘要翻译:
LaMer和他的同事们对溶液中的爆发形核现象给出了广泛接受的定性解释,即在一段明显的化学不活动时期之后,有核粒子从溶质物种中突然爆炸地增长。在这里,我们提出了一个在临界核尺寸以下的瞬时热化和临界核尺寸以上的不可逆扩散生长的假设下的模型,它首次以一种允许定量计算的方式阐述了Lamer对爆发成核的解释。结果表明,用原子数测量的团簇平均尺寸随时间线性增长,而团簇分布的宽度随时间的平方根增长。我们发展了一个有效的数值格式来积分模型的方程,并将渐近表达式与数值模拟结果进行比较。最后,我们讨论了导致溶液中实际成核过程偏离模型行为的物理效应。
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英文标题:
《Model of nanocrystal formation in solution by burst nucleation and
diffusional growth》
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作者:
D. T. Robb and V. Privman
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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一级分类:Physics 物理学
二级分类:Materials Science 材料科学
分类描述:Techniques, synthesis, characterization, structure. Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术,合成,表征,结构。结构相变,力学性质,声子。缺陷,吸附质,界面
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
The phenomenon of burst nucleation in solution, in which a period of apparent chemical inactivity is followed by a sudden and explosive growth of nucleated particles from a solute species, has been given a widely accepted qualitative explanation by LaMer and co-workers. Here, we present a model with the assumptions of instantaneous thermalization below the critical nucleus size and irreversible diffusive growth above the critical size, which for the first time formulates LaMer's explanation of burst nucleation in a manner allowing quantitative calculations. The behavior of the model at large times is derived, with the result that the average cluster size, as measured by the number of atoms, grows linearly with time, while the width of the cluster distribution grows as the square root of time. We develop an effective numerical scheme to integrate the equations of the model and compare the asymptotic expressions to results from numerical simulation. Finally, we discuss the physical effects which cause real nucleation processes in solution to deviate from the behavior of the model.
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PDF链接:
https://arxiv.org/pdf/707.238