Absence of non-trivial asymptotic scaling in the Kashchiev model of polynuclear growth
T. J. Newman, A. Volmer (Universitaet Koeln)
TL;DR
This paper demonstrates that the Kashchiev model of polynuclear growth exhibits trivial asymptotic behavior across all dimensions, contradicting earlier claims and indicating it does not belong to the KPZ universality class.
Contribution
It provides a rigorous analysis showing the asymptotic scaling of the Kashchiev model is trivial, challenging previous assumptions about its universality class.
Findings
Asymptotic behavior is trivial in all spatial dimensions.
The model does not belong to the KPZ universality class.
Contradicts previous claims about non-trivial scaling.
Abstract
In this brief comment we show that, contrary to previous claims [Bartelt M C and Evans J W 1993 {\it J.\ Phys.\ A} 2743], the asymptotic behaviour of the Kashchiev model of polynuclear growth is trivial in all spatial dimensions, and therefore lies outside the Kardar-Parisi-Zhang universality class.
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