Universal interface width distributions at the depinning threshold

Details Universal interface width distributions at the depinning threshold Universal interface width distributions at the depinning threshold

2003-01-24

arxiv.org/abs/cond-mat/0301464v1

Phys. Rev. E 68, 036128 (2003)

Physics

Condensed Matter

4 pages revtex4. See also the following article cond-mat/0301465

Scientific paper

10.1103/PhysRevE.68.036128

We compute the probability distribution of the interface width at the depinning threshold, using recent powerful algorithms. It confirms the universality classes found previously. In all cases, the distribution is surprisingly well approximated by a generalized Gaussian theory of independant modes which decay with a characteristic propagator G(q)=1/q^(d+2 zeta); zeta, the roughness exponent, is computed independently. A functional renormalization analysis explains this result and allows to compute the small deviations, i.e. a universal kurtosis ratio, in agreement with numerics. We stress the importance of the Gaussian theory to interpret numerical data and experiments.

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