Intermittency in Dynamics of Two-Dimensional Vortex-like Defects

Details Intermittency in Dynamics of Two-Dimensional Vortex-like Defects Intermittency in Dynamics of Two-Dimensional Vortex-like Defects

1999-04-29

arxiv.org/abs/cond-mat/9904430v2

Physics

Condensed Matter

Statistical Mechanics

30 pages, 11 figures

Scientific paper

10.1103/PhysRevE.62.1002

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 $F_{2n}\sim y^2/r^{4n}$ where $r$ is the characteristic scale and $y$ is the 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 $F_{2n}\sim F_2^n$ occurring for simultaneous correlation functions, the non-simultaneous correlation functions appear to be much larger. The phenomenon resembles intermittency in turbulence.

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