Scaling solutions and finite-size effects in the Lifshitz-Slyozov theory

✍ Scribed by Dieter W. Heermann; Li Yixue; Kurt Binder

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 663 KB
• Volume: 230
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(96)00110-0

✦ Synopsis

We have developed a finite-size scaling theory for the late stages of growth following a quench. This theory predicts how the distribution of droplets depends on the finite extension of a system as it appears for example in computer simulations. From the scaling properties of the distribution we obtain scaling laws for the average droplet size. To check the developed theory we have performed Monte Carlo simulations of the three-dimensional Ising model using several system sizes. Strong finite-size effects occur already when the average linear dimension of the largest cluster is only about one sixth of the lattice size.