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Condensed Matter > Statistical Mechanics

arXiv:2302.04320 (cond-mat)
[Submitted on 8 Feb 2023]

Title:The fundamental thermodynamic costs of communication

Authors:Farita Tasnim, Nahuel Freitas, David H. Wolpert
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    Abstract: In many complex systems, whether biological or
    artificial, the thermodynamic costs of communication among their
    components are large. These systems also tend to split
    information transmitted between any two components across
    multiple channels. A common hypothesis is that such inverse
    multiplexing strategies reduce total thermodynamic costs. So far,
    however, there have been no physics-based results supporting this
    hypothesis. This gap existed partially because we have lacked a
    theoretical framework that addresses the interplay of
    thermodynamics and information in off-equilibrium systems at any
    spatiotemporal scale. Here we present the first study that
    rigorously combines such a framework, stochastic thermodynamics,
    with Shannon information theory. We develop a minimal model that
    captures the fundamental features common to a wide variety of
    communication systems. We find that the thermodynamic cost in
    this model is a convex function of the channel capacity, the
    canonical measure of the communication capability of a channel.
    We also find that this function is not always monotonic, in
    contrast to previous results not derived from first principles
    physics. These results clarify when and how to split a single
    communication stream across multiple channels. In particular, we
    present Pareto fronts that reveal the trade-off between
    thermodynamic costs and channel capacity when inverse
    multiplexing. Due to the generality of our model, our findings
    could help explain empirical observations of how thermodynamic
    costs of information transmission make inverse multiplexing
    energetically favorable in many real-world communication systems.

Comments: 15 pages, 3 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Information
          Theory (cs.IT)
Cite as:  arXiv:2302.04320 [cond-mat.stat-mech]
          (or arXiv:2302.04320v1 [cond-mat.stat-mech] for this
          version)
          https://doi.org/10.48550/arXiv.2302.04320
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Farita Tasnim [view email]
[v1] Wed, 8 Feb 2023 20:30:23 UTC (3,804 KB)
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