Dynamics-scaling theory for phase-separating unmixing mixtures: Growth rates of droplets and scaling properties of autocorrelation functions
✍ Scribed by Hiroshi Furukawa
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 1005 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
✦ Synopsis
A dynamic scaling idea is examined for phase-separating unmixing mixtures. The scaling exponent of the mobility and that of the correlation function of the chemical potential with an order parameter determine the droplet growth rates. The results agree with those of existing phenomenological approaches.
The scaling properties of the auto-correlation functions are discussed. If the correlation function associated with the chemical potential has a strong dependence on the length scale as shown in the text, then the auto-correlation function exhibits an anomalous scaling, under which the damping coefficient has a (negative) gap.
Simplified scaling structure functions, both for critical and off-critical concentration mixtures, are given. They are compared with those of the computer simulation by Lebowitz et al.