Thermodynamics of complexity and pattern manipulation

Physical Review. E
Andrew J P GarnerMile Gu

Abstract

Many organisms capitalize on their ability to predict the environment to maximize available free energy and reinvest this energy to create new complex structures. This functionality relies on the manipulation of patterns-temporally ordered sequences of data. Here, we propose a framework to describe pattern manipulators-devices that convert thermodynamic work to patterns or vice versa-and use them to build a "pattern engine" that facilitates a thermodynamic cycle of pattern creation and consumption. We show that the least heat dissipation is achieved by the provably simplest devices, the ones that exhibit desired operational behavior while maintaining the least internal memory. We derive the ultimate limits of this heat dissipation and show that it is generally nonzero and connected with the pattern's intrinsic crypticity-a complexity theoretic quantity that captures the puzzling difference between the amount of information the pattern's past behavior reveals about its future and the amount one needs to communicate about this past to optimally predict the future.

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Citations

Jul 29, 2017·Scientific Reports·Cina AghamohammadiJames P Crutchfield
Oct 24, 2019·Interface Focus·Stuart J Bartlett, Patrick Beckett
Jun 18, 2017·Physical Review Letters·Alexander B BoydJames P Crutchfield
Jan 13, 2019·Physical Review Letters·Chengran YangMile Gu
Jul 10, 2021·Chaos·Andrew J P Garner

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