10th Seminar on Mathematics for various disciplines

(COE Partner Seminar, Department of Mathematics, Hokkaido University )

Contents

Outline

Period :
December 6, 2006 (Wednesday) 10:30-11:30
Place :
Graduate School of Mathematical Sciences the University of Tokyo, Room #056
Programme :
Etsuro Yokoyama (Gakushuin University)
Formation of rims surrounding a chondrule during solidification in 3- dimensions using the phase field model
ABSTRACT:
Chondrules are small particles of silicate material of the order of a few millimeters in radius, and are the main component of chondritic meteorite.

In this paper, we present a model of the growth starting from a seed crystal at the location of an outer part of pure melt droplet into spherical single crystal corresponding to a chondrule. The formation of rims surrounding a chondrule during solidification is simulated by using the phase field model in three dimensions. Our results display a well developed rim structure when we choose the initial temperature of a melt droplet more than the melting point under the condition of larger supercooling. Furthermore, we show that the size of a droplet plays an important role in the formation of rims during solidification.