Kinetics of ordering for correlated initial conditions

Feb 1, 1991
3 pages
Published in:
  • Phys.Rev.B 43 (1991) 3699-3702

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Abstract: (APS)
Nonequilibrium domain growth in a system with a nonconserved order parameter is considered for power-law correlated initial conditions, [φ(r)φ(0)]∼r−(d−σ), appropriate to, e.g., a quench to the ordered phase from the critical point (σ=2-η). The long-range correlations are shown to be relevant (in the renormalization-group sense), and lead to a new scaling function for the structure factor, provided that σ exceeds a critical value. In this regime (which includes σ=2-η) the autocorrelation function A(t)==[φ(r,t)φ(r,0)] has the asymptotic behavior A(t)∼t−(d−σ)/4.
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