Reproduce “Information Flow in geophysical systems” on OpenResearch

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About this paper

Peter Jan van Leeuwen

A new framework quantifies information flow in high-dimensional geophysical systems using relative entropy and local calculations, overcoming computational limitations of previous methods. It reveals that information propagation is distinct from physical quantity transport and can even propagate against the mean fluid flow.

Key insights

  • Information flow, defined via relative entropy, behaves distinctly from the transport of physical quantities like energy or vorticity, providing a complementary diagnostic lens.
  • The locality of physical interactions enables computationally tractable analysis of information evolution in high-dimensional systems by avoiding full state-space integrations.
  • Information can propagate against the mean fluid flow, demonstrating a complex relationship between information dynamics and underlying physical transport mechanisms.

Summary by alphaXiv.

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