Intermittency in dynamics of two-dimensional vortexlike defects
Abstract
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 F2n of vorticity and disclinicity behave as F2n~y2/r4n, where r is the characteristic scale and y is the renormalized fugacity. As a consequence, below the Berezinskii-Kosterlitz-Thouless transition temperature F2n are characterized by anomalous scaling exponents. The behavior strongly differs from the normal law F2n~Fn2 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:cond-mat/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
- E-Print:
- 30 pages, 11 figures