title: Nonequilibrium dynamics of the complex Ginzburg-Landau equation: analytical results.
abstract: We present a detailed analytical and numerical study of nonequilibrium dynamics for the complex Ginzburg-Landau equation. In particular, we characterize evolution morphologies using spiral defects. This paper is the first in a two-stage exposition. Here, we present analytical results for the correlation function arising from a single-spiral morphology. We also critically examine the utility of the Gaussian auxiliary field ansatz in characterizing a multispiral morphology. In the next paper of this exposition we will present detailed numerical results.
authors.affiliation: School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.
authors.forename: S K
authors.initials: SK
authors.lastname: Das
authors.forename: S
authors.initials: S
authors.lastname: Puri
authors.forename: M C
authors.initials: MC
authors.lastname: Cross