Example of simulated information flow in non-equilibrium thermodynamics.
Published 2020-11-11
This simulates a partial differential equation system for the information density flow, and free energy density. E(x,t) is a potential, {\Psi} is the local free energy density, {\phi} is the local information density. The energy potential E(x,t) shown in the upper left is varied first by interpolating two energy landscapes. Later additional hotspots or sinks are generated by mouse clicks. One can see that the information density distributin (lower right) slowly approaches the negative energy landscape, and the free energy density (lower left) tends towards zero when the system goes towards an equilibrium. The information flow is shown in the upper right as the negative gradients of the free energy density.
This is based on the work by: Jinwoo, Lee and Tanaka, Hajime,
Local non-equilibrium thermodynamics, journal = "Nature Scientific Reports",
No 7832, vol 5, 2015
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