It is shown that information theory predicts a decrease of the effective thermal conductivity. This new correction corresponds to a time-delayed vorticity dynamics, and it may explain the inhibition of the effective heat flux in turbulent systems.
Sancho, P., Llebot, J. E., & Fort, J. (1999). Information-Statistical Extended Thermodynamics and Turbulent-Induced Heat Flux Inhibition. Open Systems and Information Dynamics, 6(4), 415-426. https://doi.org/10.1023/A:1009602311847