WEIBULL DISTRIBUTION OF PARTICLE SIZES OBTAINED BY UNIFORM RANDOM FRAGMENTATION
WEIBULL DISTRIBUTION OF PARTICLE SIZES OBTAINED BY UNIFORM RANDOM FRAGMENTATION
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DOI：
10.1016/0021-9797(86)90002-0
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发表时间：
1986-05-01
影响因子：
9.9
通讯作者：
YANEV, TK
中科院分区：
文献类型：
--
作者：
TENCHOV, BG;YANEV, TK
结果表明，称为“均匀随机破碎”的某些随机破碎过程会导致与威布尔极值概率分布相同的粒度分布。该结果的实际应用通过一些涉及超声辐射制备的脂质囊泡尺寸直方图的实验数据的例子进行了说明。指出了本模型与导致对数正态分布的随机碎片模型的主要区别。由于在实验不确定性内，两种分布都成功模拟了囊泡大小直方图，因此无法根据拟合质量区分随机碎片的具体机制。从物理角度来看，威布尔分布更可取，因为与对数正态分布相比，它可以正确估计囊泡尺寸下限。
It is shown that certain processes of random fragmentation called “uniform random fragmentation” lead to particle size distributions identical with the Weibull extremal probability distribution. The practical application of this result is illustrated on some examples involving experimental data about size histograms of lipid vesicles prepared by ultrasonic irradiation. The principal distinction of the present model from the model of random fragmentation leading to logarithmic-normal distribution is pointed out. Since within experimental uncertainty both distributions successfully simulate the vesicle size histograms, the specific mechanism of random fragmentation cannot be distinguished on the basis of the fit quality. On physical grounds, the Weibull distribution is preferable as, in contrast to the logarithmic-normal distribution, it correctly estimates the vesicle lower size limit.