Phase ordering kinetics in the Swift-Hohenberg equation

It is shown that the Swift-Hohenberg equation w=epsilon w-(del(2)+k(0)(2))(2)w-w(3) for epsilon>3/2k(0)(4) ordering kinetics from the lamellar phase to the uniform state. A domain wall propagates with the velocity c(R)=0(2/R)epsilon+8k(0)(4))/4k(0)(2) and reduces the domain structure which finally shrinks to a spot. Here R(-1) denotes the curvature of the domain wall. The dynamics of relaxation is investigated by observing how the structure function evolves in time. It is found that the structure function shows the same scaling relationship that is known from the ordering kinetics in the time-dependent Ginzburg-Landau equation.