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ANALYTICAL CALCULATION OF TIME LAG IN NUCLEATION PROCESS

机译:成核过程中时滞的解析计算

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摘要

For theoretical modeling of nucleation, it is often adequate to focus attention only to the steady-state behavior of the system. This may by acceptable if the time required to reach steady state is negligible in comparison with the time scale of the experiment. On the other hand, when the time needed to reach the steady state is long (e.g.,for nucleation in glass-forming melts ) or in experiments with very short time scales (e.g.,nozzle expansion or shock tubes),transient effects may become important and, isofactor ,are responsible for the instataneous properties of the system. We present a method (based on combination of boundary layer theory and Green's functions technique ) allowing to solve a Fokker-Planck-like equation and to obtain an analytical formula for the time lag. The accuracy of our approach is demonstrated by comparison with purely numerical simulations as well as with experimental data and previous analytical solutions(Shi et al.[1],Wilemski[2],Trinkaus and Yoo [3] ,Kashchiev [4]) applied to single component and also to binary systems.
机译:对于成核的理论建模,通常仅将注意力集中在系统的稳态行为上就足够了。如果达到稳定状态所需的时间与实验的时间尺度相比可以忽略不计,则这可以接受。另一方面,当达到稳态所需的时间较长时(例如,在玻璃熔体中成核)或在时间尺度很短的实验中(例如,喷嘴膨胀或激波管),瞬变效应可能变得很重要。和等因负责系统的瞬时特性。我们提出了一种方法(基于边界层理论和格林函数技术的结合),可以求解类似Fokker-Planck的方程并获得时滞的解析公式。通过与纯数值模拟以及实验数据和以前的解析解进行比较证明了我们方法的准确性(Shi等人[1],Wilemski [2],Trinkaus和Yoo [3],Kashchiev [4])单个组件以及二进制系统。

著录项

  • 来源
    《Inorganic Materials》 |1999年第6期|593-595|共3页
  • 作者

    P.DEMO;

  • 作者单位
  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工程材料学;
  • 关键词

  • 入库时间 2022-08-18 00:39:17

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