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.
翻译:在许多复杂的系统,无论是生物还是人工系统,各组成部分之间通信的热力成本都很大。 这些系统还倾向于将信息在多个渠道的任何两个组成部分之间传播。 一个常见的假设是,这种反向多重战略降低了热力总成本。 但是,到目前为止,还没有物理结果支持这一假设。 部分差距存在, 因为我们缺乏一个理论框架来处理温度动力学的相互作用和任何波段范围平衡系统内部信息的相互作用。 我们在这里提出第一个研究, 将这种框架, 即热力学热力学和香农信息理论严格地结合起来。 我们开发了一个最小模型, 捕捉到多种通信系统共同的基本特征。 我们发现, 这个模型中的热力学成本是频道能力的共振功能, 也就是测量一个频道通信能力的罐。 我们还发现,这一功能并非始终是单调的, 而不是从最初的原则物理学中得出的许多结果。 这些结果可以澄清何时以及如何将一个通信流分解于多个频道的同步观测结果。 特别是, 我们从我们目前的热力学角度来解释我们多重信息流的成本。