Model of nucleation and growth of crystals in cooling magmas |
| |
Authors: | Atsushi Toramaru |
| |
Institution: | (1) Department of Earth Sciences, Kanazawa University, 1-1 Marunouchi, 920 Kanazawa Ishikawa, Japan |
| |
Abstract: | The nucleation and growth of liquidus phases in cooling magmas at constant rates are modeled taking into account homogeneous
nucleation, diffusion-limited growth, and depletion of crystallizing component from melt, and the temperature-dependent diffusivity.
The formulation of governing equations shows that four dimensionless parameters, whose physical meanings are the nucleation
difficulty, the fusion enthalpy, the ratio of the growth rate to the cooling rate, and the activation energy of diffusion,
control the crystallization phenomena. The nucleation behavior with time (or temperature) is determined primarily by the competition
between increasing nucleation rate with cooling and the reduced supersaturation with depletion by progressive growth of crystals
previously nucleated. The maximum nucleation rate and the number density of crystals increase with decreasing interfacial
tension and diffusivity, and with increasing fusion enthalpy and cooling rate. Quantitative expressions of the time or temperature
interval for which the nucleation remains appreciable, the peak nucleation rate, the number density of crystals and the mean
crystal radius are derived as functions of controlling parameters, and can be used to estimate the cooling rate or other unknown
parameters from the number density of crystals of a rock. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|