To make a theoretical example:
http://arturotozzi.webnode.it/products/a-link-between-time-reversal-asymmetry-and-fainting-of-memories-/
Dear Arturo, please look at: A. Provata, C. Nicolis, G. Nicolis, PRE, 89, 052105 (2014). In the abstract the authors write: "To probe locally the spatial structure of the chain, we study the exit distances from a specific symbol, the distribution of recurrence distances, and the Hurst exponent, all of which show power law tails and long-range characteristics. These results suggest that human DNA can be viewed as a nonequilibrium structure maintained in its state through interactions with a constantly changing environment." I think that this may be a proper answer to your question
Dear Prof. Grigolini, sorry for botherig you, but I think you can answer also to this other question of mine:
https://www.researchgate.net/post/Brain_and_phase_transitions_which_is_the_role_of_fractals
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