onsdag 24 mars 2010
Self Similarity of Temperature Graphs
The Reference Frame suggests that temperature graphs are self-similar e.g. in the sense of
red noise or Brownian motion with temperatures changes of size t^0.5 = squareroot of t,
over time intervals of length t.
In other words, temperature graphs are Hölder continuous with exponent 1/2, or something
of that size like 1/3.
This connects to a basic property of turbulent incompressible flow, namely that velocities are Hölder continuous with exponent 1/3, as we show computationally in Computational Turbulent Incompressible Flow, with support by analysis.
This gives hope that turbulent climate dynamics can be simulated computationally.