Next Article in Journal
Morphogenesis of Urban Water Distribution Networks: A Spatiotemporal Planning Approach for Cost-Efficient and Reliable Supply
Next Article in Special Issue
Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach
Previous Article in Journal
Information Theory and Cognition: A Review
Previous Article in Special Issue
Writing, Proofreading and Editing in Information Theory
Open AccessArticle

Energy Dissipation and Information Flow in Coupled Markovian Systems

1
Department of Physics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada
2
Department of Physics, University of California, Berkeley, CA 94720, USA
*
Authors to whom correspondence should be addressed.
Entropy 2018, 20(9), 707; https://doi.org/10.3390/e20090707
Received: 30 June 2018 / Revised: 11 September 2018 / Accepted: 13 September 2018 / Published: 14 September 2018
(This article belongs to the Special Issue Thermodynamics of Information Processing)
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. View Full-Text
Keywords: work; dissipation; quasi-static; information; prediction; learning; nostalgia work; dissipation; quasi-static; information; prediction; learning; nostalgia
Show Figures

Figure 1

MDPI and ACS Style

Quenneville, M.E.; Sivak, D.A. Energy Dissipation and Information Flow in Coupled Markovian Systems. Entropy 2018, 20, 707.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop