Chaos and residual correlations in pinned disordered systems

الأصل · EN

We study, using functional renormalization (FRG), two copies of an elastic system pinned by mutually correlated random potentials. Short scale decorrelation depend on a non trivial boundary layer regime with (possibly multiple) chaos exponents. Large scale mutual displacement correlation behave as |x-x'|² ζ⁻ μ, the decorrelation exponent μ proportional to the difference between Flory (or mean field) and exact roughness exponent ζ. For short range disorder μ>0 but small, e.g. for random bond interfaces μ= 5 ζ- ε, ε=4-d, and μ= ε((2 π)²/36 - 1) for the one component Bragg glass. Random field (i.e long range) disorder exhibits finite residual correlations (no chaos μ= 0) described by new FRG fixed points. Temperature and dynamic chaos (depinning) are discussed.