Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation

Details Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation

1992-05-27

arxiv.org/abs/cond-mat/9205015v1

Phys. Rev. A 46, 7618 (1992)

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevA.46.7618

The process of pattern formation in the two dimensional Swift-Hohenberg equation is examined through numerical and analytic methods. Dynamic scaling relationships are developed for the collective ordering of convective rolls in the limit of infinite aspect ratio. The stationary solutions are shown to be strongly influenced by the strength of noise. Stationary states for small and large noise strengths appear to be quasi-ordered and disordered respectively. The dynamics of ordering from an initially inhomogeneous state is very slow in the former case and fast in the latter. Both numerical and analytic calculations indicate that the slow dynamics can be characterized by a simple scaling relationship, with a characteristic dynamic exponent of $1/4$ in the intermediate time regime.

Affiliated with

Also associated with

No associations

Rating

Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207624