Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noise-induced phase transitions in field-dependent relaxational
  dynamics: The Gaussian ansatz   We present an analytic mean field theory for relaxational dynamics in
spatially extended systems that undergo purely noise-induced phase transitions
to ordered states. The theory augments the usual mean field approach with a
Gaussian ansatz that yields quantitatively accurate results for strong
coupling. We obtain analytic results not only for steady state mean fields and
distribution widths, but also for the dynamical approach to a steady state or
to collective oscillatory behaviors in multi-field systems. Because the theory
yields dynamical information, it can also predict the
initial-condition-dependent final state (disordered state, steady or
oscillatory ordered state) in multistable arrays.

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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
37
The categories of this paper are: supr-con