LARGE WAVE NUMBER FEATURES OF FORM FACTORS FOR PHASE TRANSITION KINETICS

1988/08/01 by Y. OONO, Y. Oono, S. PURI +1 · 2 citations
Physics and Astronomy · Earth and Planetary Sciences · Materials Science · #Theoretical and Computational Physics #nanoparticles nucleation surface interactions #Solidification and crystal growth phenomena

paper · doi:10.1142/s0217984988000606

Abstract

Porod’s law and Tomita’s sum rule are two universal features expected for form factors of systems undergoing phase ordering processes, but have never been conclusively observed in numerical experiments. We demonstrate the drastic effect of finite thickness of interfaces on these asymptotic laws. Our results strongly suggest that the form factor obtained by Ohta, Jasnow and Kawasaki is asymptotically accurate, if not exact.

Cited by

• Phase segregation of liquid-vapor systems with a gravitational field
• Correlators in phase-ordering from Schrödinger-invariance

Related

• Perturbation Expansion in Phase Ordering Kinetics
• Rate of Convergence of General Phase Field Equations towards their Homogenized Limit
• Computationally efficient phase-field models with interface kinetics
• Interface disappearance in fast reaction limit
• Asymptotics of the ϕ⁴₁ measure in the sharp interface limit