Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical initial-slip scaling for the noisy complex Ginzburg-Landau
  equation   We employ the perturbative field-theoretic renormalization group method to
investigate the universal critical behavior near the continuous non-equilibrium
phase transition in the complex Ginzburg-Landau equation with additive white
noise. This stochastic partial differential describes a remarkably wide range
of physical systems: coupled non-linear oscillators subject to external noise
near a Hopf bifurcation instability; spontaneous structure formation in
non-equilibrium systems, e.g., in cyclically competing populations; and
driven-dissipative Bose--Einstein condensation, realized in open systems on the
interface of quantum optics and many-body physics, such as cold atomic gases
and exciton-polaritons in pumped semiconductor quantum wells in optical
cavities. Our starting point is a noisy, dissipative Gross-Pitaevski or
non-linear Schr\"odinger equation, or equivalently purely relaxational kinetics
originating from a complex-valued Landau-Ginzburg functional, which generalizes
the standard equilibrium model A critical dynamics of a non-conserved complex
order parameter field. We study the universal critical behavior of this system
in the early stages of its relaxation from a Gaussian-weighted fully randomized
initial state. In this critical aging regime, time translation invariance is
broken, and the dynamics is characterized by the stationary static and dynamic
critical exponents, as well as an independent `initial-slip' exponent. We show
that to first order in the dimensional expansion about the upper critical
dimension, this initial-slip exponent in the complex Ginzburg-Landau equation
is identical to its equilibrium model A counterpart. We furthermore employ the
renormalization group flow equations as well as construct a suitable complex
spherical model extension to argue that this conclusion likely remains true to
all orders in the perturbation expansion.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio