Dynamical scaling behavior of the Swift-Hohenberg equation following a quench to the modulated state
✍ Scribed by Q. Hou; S. Sasa; N. Goldenfeld
- Book ID
- 104341495
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 717 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
We study the kinetics of phase transitions in a Rayleigh-Benard system after onset of convection using 2D Swift-Hohenberg equation. An initially uniform state evolves to one whose ground state is spatially periodic. We confirmed previous results which showed that dynamical scaling occurs at medium quench (e = 0.25) with scaling exponents ½ and 1 under zero noise and finite noise, respectively. We find logarithmic scaling behavior for a deep quench (e = 0.75) at zero noise. A simple method is devised to measure the proxy of domain wall length. We find that the energy and domain wall length exhibit scaling behavior with the same exponent. For e = 0.25, the scaling exponents are ¼ and 0.3 at zero and finite noise, respectively.