Roughness at the depinning threshold for a long-range elastic string.

@article{Rosso2002RoughnessAT,
  title={Roughness at the depinning threshold for a long-range elastic string.},
  author={A. Rosso and W. Krauth},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={65 2 Pt 2},
  pages={
          025101
        }
}
  • A. Rosso, W. Krauth
  • Published 2002
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • In this paper, we compute to high precision the roughness exponent zeta of a long-range elastic string, at the depinning threshold, in a random medium. Our numerical method exploits the analytic structure of the problem ("no-passing" theorem), but avoids direct simulation of the evolution equations. The roughness exponent has recently been studied by simulations, functional renormalization-group calculations, and by experiments (fracture of solids, liquid meniscus in 4He). Our result zeta=0.388… CONTINUE READING

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