Abstract
A rigorous mathematical approach based on an inhomogeneous (marked)
Poisson point process is presented to extend previously proposed
treatment of transformation kinetics to situations in which nuclei
are not homogeneously located in space. The potential of the proposed
methodology is illustrated by applying it to the case of nucleus
intensity varying along a single preferential direction. The exact
analytical solutions presented here significantly broaden the range
of analytical solutions available to formal kinetics regarding nuclei
location deviating from the classical #randomly# located nuclei assumption.
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