LogNormal distribution

[BosonPeak]

Dear All;

As part of my PhD, I have to study the distribution of the shear modulus in amorphous materials. This parameter X has Log-Normal distribution as described by the equation in the image. I would like to know how to calculate the "Length scale" of the parameter X for a LogNormal distribution.




Thanks in advance.

 

[Deleted member 4993]

Dear All;

As part of my PhD, I have to study the distribution of the shear modulus in amorphous materials. This parameter X has Log-Normal distribution as described by the equation in the image. I would like to know how to calculate the "Length scale" of the parameter X for a LogNormal distribution.


View attachment 15997

Thanks in advance.

Did you read this paper?

https://www.itl.nist.gov/div898/handbook/eda/section3/eda3669.htm