Passive scalar convection in 2D long-range delta-correlated velocity field: Exact results
M. Chertkov, Y.V. Fyodorov, I. Kolokolov
TL;DR
This paper introduces a new field-theoretical method to analyze 2D passive scalar convection in a long-range delta-correlated velocity field, deriving explicit results for the Lyapunov exponent distribution.
Contribution
It provides an exact analytical approach to the passive scalar problem, including explicit formulas for the Lyapunov exponent distribution in 2D.
Findings
Gaussian distribution for Lyapunov exponent derived
Parameters of the distribution explicitly calculated
New analytical framework for passive scalar convection
Abstract
The letter presents new field-theoretical approach to 2D passive scalar problem. The Gaussian form of the distribution for the Lyapunov exponent is derived and its parameters are found explicitly.
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