Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group.

  title={Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group.},
  author={Thomas Kloss and L{\'e}onie Canet and Bertrand Delamotte and Nicol{\'a}s Wschebor},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={89 2},
  • T. KlossL. Canet N. Wschebor
  • Published 20 December 2013
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We investigate the scaling regimes of the Kardar-Parisi-Zhang (KPZ) equation in the presence of spatially correlated noise with power-law decay D(p) ∼ p(-2ρ) in Fourier space, using a nonperturbative renormalization group approach. We determine the full phase diagram of the system as a function of ρ and the dimension d. In addition to the weak-coupling part of the diagram, which agrees with the results from Europhys. Lett. 47, 14 (1999) and Eur. Phys. J. B 9, 491 (1999), we find the two fixed… 

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