Intermittency in dynamics of two-dimensional vortexlike defects
We examine high-order dynamical correlations of defects (vortices, disclinations, etc.) in thin films starting from the Langevin equation for the defect motion. We demonstrate that dynamical correlation functions F(2n) of vorticity and disclinicity behave as F(2n) approximately y(2)/r(4n), where r is the characteristic scale and y is the renormalized fugacity. As a consequence, below the Berezinskii-Kosterlitz-Thouless transition temperature F(2n) are characterized by anomalous scaling exponents. The behavior strongly differs from the normal law F(2n) approximately F(n)(2) occurring for simultaneous correlation functions, the nonsimultaneous correlation functions appear to be much larger. The phenomenon resembles intermittency in turbulence.