通信渠道中的熵产生

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-09-03 DOI:10.1103/physreve.110.034101
Farita Tasnim, Nahuel Freitas, David H. Wolpert
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引用次数: 0

摘要

在许多复杂系统中,无论是生物系统还是人工系统,其各组成部分之间的通信热力学成本都很高。这些系统还倾向于将任何两个组成部分之间传输的信息分割成多个信道。一个常见的假设是,这种反向多路复用策略可以降低总的热力学成本。然而,迄今为止,还没有基于物理学的结果支持这一假设。之所以存在这一空白,部分原因是我们缺乏一个理论框架来解决非平衡系统中热力学与信息的相互作用问题。在这里,我们首次提出了将随机热力学这一框架与香农信息理论严格结合起来的研究。我们建立了一个能捕捉各种通信系统共同基本特征的最小模型,并研究了通信过程的熵产生与信道容量(衡量信道通信能力的标准)之间的关系。与以往非基于第一性原理的研究中的假设不同,我们证明了熵的产生并不总是信道容量的凸函数和单调递增函数。不过,在信道容量足够大的情况下,这两个特性会得到恢复。这些结果阐明了何时以及如何在多个信道上拆分单个通信流。
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Entropy production in communication channels
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. 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, and study the relationship between the entropy production of the communication process and the channel capacity, the canonical measure of the communication capability of a channel. In contrast to what is assumed in previous works not based on first principles, we show that the entropy production is not always a convex and monotonically increasing function of the channel capacity. However, those two properties are recovered for sufficiently high channel capacity. These results clarify when and how to split a single communication stream across multiple channels.
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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