Roughening of the anharmonic Larkin model.

  title={Roughening of the anharmonic Larkin model.},
  author={V{\'i}ctor H. Purrello and Jos{\'e} L. Iguain and Alejandro B. Kolton},
  journal={Physical review. E},
  volume={99 3-1},
We study the roughening of d-dimensional directed elastic interfaces subject to quenched random forces. As in the Larkin model, random forces are considered constant in the displacement direction and uncorrelated in the perpendicular direction. The elastic energy density contains an harmonic part, proportional to (∂_{x}u)^{2}, and an anharmonic part, proportional to (∂_{x}u)^{2n}, where u is the displacement field and n>1 an integer. By heuristic scaling arguments, we obtain the global… 

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