Nonequilibrium dynamics of the complex Ginzburg-Landau equation: analytical results.
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.
Das
S K
SK
School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.
Puri
S
S
Cross
M C
MC