Depinning exponents of the driven long-range elastic string

@article{Dmmer2007DepinningEO,
  title={Depinning exponents of the driven long-range elastic string},
  author={Olaf D{\"u}mmer and Werner Krauth},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2007},
  volume={2007},
  pages={P01019 - P01019}
}
  • O. Dümmer, W. Krauth
  • Published 13 December 2006
  • Physics
  • Journal of Statistical Mechanics: Theory and Experiment
We perform a high-precision calculation of the critical exponents for the long-range elastic string driven through quenched disorder at the depinning transition, at zero temperature. Large-scale simulations avoid finite-size effects and improve accuracy. We explicitly demonstrate the equivalence of fixed-velocity and fixed-driving-force simulations. The roughness, growth, and velocity exponents are calculated independently, and the dynamic and correlation length exponents are derived. The… 

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