6533b83afe1ef96bd12a7b72
RESEARCH PRODUCT
Asymptotic structure factor and power-law tails for phase ordering in systems with continuous symmetry.
A. J. BraySanjay Purisubject
PhysicsContinuous symmetryPhase (matter)Phase orderingGeneral Physics and AstronomyOrder (ring theory)Function (mathematics)Structure factorPower lawScalingMathematical physicsdescription
We compute the asymptotic structure factor ${\mathit{S}}_{\mathbf{k}}$(t) [=L(t${)}^{\mathit{d}}$g(kL(t)), where L(t) is a time-dependent characteristic length scale and d is the dimensionality] for a system with a nonconserved n-component vector order parameter quenched into the ordered phase. The well-known Ohta-Jasnow-Kawasaki-Yalabik-Gunton result is recovered for n=1. The scaling function g(x) has the large-x behavior g(x)\ensuremath{\sim}${\mathit{x}}^{\mathrm{\ensuremath{-}}(\mathit{d}+\mathit{n})}$, which includes Porod's law (for n=1) as a special case.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-11-04 | Physical review letters |