DENDRITIC SIDEBRANCHING IN THE 3-DIMENSIONAL SYMMETRICAL MODEL IN THE PRESENCE OF NOISE
DENDRITIC SIDEBRANCHING IN THE 3-DIMENSIONAL SYMMETRICAL MODEL IN THE PRESENCE OF NOISE
复制标题
DOI：
10.1103/physreva.36.3350
复制
发表时间：
1987-10-01
影响因子：
2.9
通讯作者：
LANGER, JS
中科院分区：
文献类型：
--
作者：
LANGER, JS
在WKB近似下，研究了三维对称枝晶凝固模型中枝晶侧支变形的时间依赖性。局部波包产生的脉冲在附近的尖端被发现的幅度增长，并蔓延和拉伸，因为它们向下移动的两侧的枝晶。这种行为表明，这意味着在固化介质中的噪声被选择性地放大，以这样一种方式，以产生一个波动的列车侧支定性与实验观察。粗略的估计表明，纯粹的热噪声可能不太强，不足以拟合数据。
The time-dependent behavior of sidebranching deformations in the three-dimensional symmetric model of dendritic solidification is studied within a WKB approximation. Localized wave packets generated by pulses in the neighborhood of the tip are found to grow in amplitude and to spread and stretch as they move down the sides of the dendrite. This behavior is shown to imply that noise in the solidifying medium is selectively amplified in such a way as to produce a fluctuating train of sidebranches in qualitative agreement with experimental observations. A rough estimate indicates that purely thermal noise is probably not quite strong enough to fit the data.