Intermittency in dynamics of twodimensional vortexlike defects
Abstract
We examine highorder 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}~y^{2}/r^{4n}, where r is the characteristic scale and y is the renormalized fugacity. As a consequence, below the BerezinskiiKosterlitzThouless transition temperature F_{2n} are characterized by anomalous scaling exponents. The behavior strongly differs from the normal law F_{2n}~F^{n}_{2} occurring for simultaneous correlation functions, the nonsimultaneous correlation functions appear to be much larger. The phenomenon resembles intermittency in turbulence.
 Publication:

Physical Review E
 Pub Date:
 July 2000
 DOI:
 10.1103/PhysRevE.62.1002
 arXiv:
 arXiv:condmat/9904430
 Bibcode:
 2000PhRvE..62.1002L
 Keywords:

 68.60.p;
 05.20.y;
 05.40.a;
 64.60.Ht;
 Physical properties of thin films nonelectronic;
 Classical statistical mechanics;
 Fluctuation phenomena random processes noise and Brownian motion;
 Dynamic critical phenomena;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Soft Condensed Matter;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 30 pages, 11 figures