Fluid turbulence is a highly complex and non-linear chaotic phenomenon. Great difficulties and complications are encountered when trying to accurately and robustly calculate or simulate fluid flows, due to the chaotic, multi-scale effects of turbulence.
I am just wondering if there is anything known to Physics that is more chaotic than fluid turbulence (i.e. more non-linear and harder to simulate)? Are analogous situations to fluid turbulence encountered in other branches of Physics? For example, is there any parallel to turbulence in quantum systems?
Note: I am aware that turbulent effects also occur in plasmas; however, that is probably a result of their close relationship with continuum fluids.
Prompted by some of the comments, I also asked this linked question, about to what extent it is possible to quantify how chaotic a dynamical system is:
The answers there suggest that the main method is by comparing Lyapunov Exponents. So, in light of that, I think this question can be reduced to:
- Are there any known physical systems that have larger Lyapunov Exponents than fluid turbulence?
- What physical system has the largest known Lyapunov Exponents?