Sunday, May 8, 2016

scaling - Characteristic length, characteristic time and complexity of the process


Different physical processed (starting from elementary particles or even below to the universe itself) have different length scales L and different characteristic times T. Larger processed tend to live at slower pace (very roughly, for electron orbitals it is (1010m,1015s) while for stars - (1011m,1012s)).


But going into details, objects of the same size have different characteristic times. For example, a human time scale (from 'blink of an eye' (100ms) to the lifespan (70ys)) is much shorter that for a rock of the same size.


The question is if such relation (i.e. T vs. L) is related to complexity of a process (either in terms of precision/robustness of it, long range correlations, or structure of interactions between its components)?


Any 2D plot of "time scale" vs "length scale" of different processed would be appreciated.




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