# Duemmer Krauth 2007

### From Werner KRAUTH

(Difference between revisions)

Revision as of 22:46, 26 March 2011Werner (Talk | contribs) ← Previous diff |
Current revisionWerner (Talk | contribs) |
||

Line 1: |
Line 1: | ||

O. Duemmer, W. Krauth ''Depinning exponents of the driven long-range elastic string'' Journal of Statistical Mechanics: Theory and Experiment '''P01019''' (2007) | O. Duemmer, W. Krauth ''Depinning exponents of the driven long-range elastic string'' Journal of Statistical Mechanics: Theory and Experiment '''P01019''' (2007) | ||

+ | |||

+ | '''Abstract:''' | ||

+ | 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 are used to avoid finite-size effects and to enable high precision. The roughness, growth, and velocity exponents are calculated independently, and the dynamic and correlation length exponents are derived. The critical exponents satisfy known scaling relations and agree well with analytical predictions. | ||

+ | |||

+ | [http://arxiv.org/abs/cond-mat/0612323v2 Electronic version (arXiv)] |

## Current revision

O. Duemmer, W. Krauth *Depinning exponents of the driven long-range elastic string* Journal of Statistical Mechanics: Theory and Experiment **P01019** (2007)

**Abstract:**
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 are used to avoid finite-size effects and to enable high precision. The roughness, growth, and velocity exponents are calculated independently, and the dynamic and correlation length exponents are derived. The critical exponents satisfy known scaling relations and agree well with analytical predictions.