Adiabatic elimination and reduced probability distribution functions in spatially extended systems with a fluctuating control parameter.

@article{Drolet2001AdiabaticEA,
  title={Adiabatic elimination and reduced probability distribution functions in spatially extended systems with a fluctuating control parameter.},
  author={François Drolet and Jorge Vi{\~n}als},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={64 2 Pt 2},
  pages={026120}
}
We obtain the stationary probability distribution functions of the order parameter near onset for the one-dimensional real Ginzburg-Landau and Swift-Hohenberg equations with a fluctuating control parameter. A perturbative expansion in the intensity of the fluctuations leads to a hierarchy of Fokker-Planck equations for conditional probability distribution… CONTINUE READING