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arXiv · 1807.00116

Energy dissipation and information flow in coupled Markovian systems

Matthew E. Quenneville·David A. Sivak
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Abstract

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental states. The non-predictive model complexity has been shown to lower-bound the thermodynamic dissipation. Here we explore these statistical and physical quantities at steady state in simple models. We show that under quasi-static driving this model complexity saturates the dissipation. Beyond the quasi-static limit, we demonstrate a lower bound on the ratio of this model complexity to total dissipation, that is realized in the limit of weak driving.

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Matthew E. Quenneville, David A. Sivak. 2018-06-30. Energy dissipation and information flow in coupled Markovian systems. https://doi.org/10.3390/e20090707

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