Return Radius and volume of recrystallized material in Ostwald Ripening

Details Return Radius and volume of recrystallized material in Ostwald Ripening Return Radius and volume of recrystallized material in Ostwald Ripening

2012-01-21

arxiv.org/abs/1201.4492v1

Physics

Mathematical Physics

Scientific paper

Within the framework of the LSW theory of Ostwald ripening the amount of volume of the second (solid) phase that is newly formed by recrystallization is investigated. It is shown, that in the late stage, the portion of the newly generated volume formed within an interval from time $t_0$ to $t$ is a certain function of $t/t_0$ and an explicit expression of this volume is given. To achieve this, we introduce the notion of the {\it return radius} $r(t,t_0)$, which is the unique radius of a particle at time $t_0$ such that this particle has -- after growing and shrinking -- the same radius at time $t$. We derive a formula for the return radius which later on is used to obtain the newly formed volume. Moreover, formulas for the growth rate of the return radius and the recrystallized material at time $t_0$ are derived.

Affiliated with

Also associated with

No associations

Rating

Return Radius and volume of recrystallized material in Ostwald Ripening does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Return Radius and volume of recrystallized material in Ostwald Ripening, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Return Radius and volume of recrystallized material in Ostwald Ripening will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-135051