Dynamical correlations of two-dimensional vortex-like defects

Lebedev V.V.

PACS: 05.20.-y, 05.40.-a, 64.60.Ht, 68.60.-p

**We examine high-order dynamical correlations of defects (quantum vortices, disclina-tions etc) in thin films starting from the Langevin equation for the defect motion. We demonstrate that dynamical correlation functions ***F2*_{n} of **vorticity or disclinicity behave as i****<2n ~ ***y*^{2}/r^{4n} **where r is the characteristic scale and ***Õ ***is the renormalized fugacity. Therefore below the Berezinskii Kosterlitz Thouless transition temperature i*****2n ****are characterized by anomalous scaling exponents. The behavior strongly differs from the normal law ***F2*_{n} ~ ^2 **occurring for simultaneous correlation functions, the non-simultaneous correlation functions appear to be much larger. The phenomenon resembles intermittency in turbulence.**