Kraichnan model of passive scalar advection
arXiv:nlin/0410058 · doi:10.1088/0305-4470/39/25/S02
Abstract
A simple model of a passive scalar quantity advected by a Gaussian non-solenoidal ("compressible") velocity field is considered. Large order asymptotes of quantum-field expansions are investigated by instanton approach. The existence of finite convergence radius of the series is proved, a position and a type of the corresponding singularity of the series in the regularization parameter are determined. Anomalous exponents of the main contributions to the structural functions are resummed using new information about the series convergence and two known orders of the expansion.
arXiv comment21 pages
References in corpus (8)
- Universality and saturation of intermittency in passive scalar turbulence
- Instanton for random advection
- Renormalization group and anomalous scaling in a simple model of passive scalar advection in compressible flow
- Instanton for the Kraichnan Passive Scalar Problem
- Inverse versus direct cascades in turbulent advection
- Scalar transport in compressible flow
- Inverse cascade and intermittency of passive scalar in 1d smooth flow
- Structures and intermittency in a passive scalar model