Determining the range of validity of this
thermodynamics is not a simple problem.
Krylov (1944) suggested that the property of
was at the heart of the this question.
Quick (exponential) mixing leads to a short
relaxation time. It results in strongly chaotic
behaviour (positive Lyapunov exponent).
However, one can also have slower (power-law)
mixing processes that are weakly chaotic.
The difference emerges because of short (long)
ranged interactions and smooth (complex i.e.
fractal/multifractal) boundary conditions.
Krylov N. 1944.