Modeling of Nucleation-and-Growth in Macroscopic Systems Using Kolmogorov-Avrami-Johnson-Mehl (KAJM) Equation
Many macroscopic (like lakes) and microscopic (like macromolecules) physical systems exhibit so-called nucleation phenomena, “collective growth” of patterns in the system. Nucleation could be illustrated as infinitesimal seeds of the stable phase from inside the unstable phase. The process of phase transitions, including continuous (second order) or discontinuous (first order), forms the nucleation. Moreover, the fact that the kinetics when the temperature is quenched from above to below the critical temperature is observed in continuous phase transitions. In reality, the formation of clouds, fog, rain, smoke from burning, ice crystals in the refrigerator, bubbles from soda and beer, etc. are all representatives of nucleation phenomena. Thus, nucleation is applicable everywhere from chemistry to climate science. The objectives of this work are to model nucleation and growth by applying Kolmogorov-Avrami-Johnson-Mehl (KAJM) equation based on the probability equation and to implement a computation algorithm to describe pattern growth.
Ivan A Sudakov
Primary Advisor's Department
Stander Symposium poster
"Modeling of Nucleation-and-Growth in Macroscopic Systems Using Kolmogorov-Avrami-Johnson-Mehl (KAJM) Equation" (2019). Stander Symposium Posters. 1696.