Photon-migration measurement of latex size distribution in concentrated suspensions

AIChE Journal ◽  
1997 ◽  
Vol 43 (3) ◽  
pp. 655-664 ◽  
Author(s):  
Eva Sevick-Muraca ◽  
Joseph Pierce ◽  
Huabei Jiang ◽  
Jeffrey Kao
Keyword(s):  
Size Distribution ◽  
Photon Migration ◽  
Concentrated Suspensions

Measurement of particle size distribution and volume fraction from frequency-domain measurements of photon migration

1997 ◽  
Author(s):  
Eva M. Sevick-Muraca ◽  
Joseph E. Pierce ◽  
Christina L. Hutchinson ◽  
Huabei Jiang ◽  
Mohsen Khalili
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Frequency Domain ◽  
Size Distribution ◽  
Volume Fraction ◽  
Photon Migration

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

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