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arXiv 0809.3540cond-mat.stat-mechcs.ITmath.IT
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关于Gibbs自由能与信息论容量等价性的注记

A Note on the Equivalence of Gibbs Free Energy and Information Theoretic Capacity

David Ford

摘要:

吉布斯自由能的最小化是基于在物理或化学系统中发生的功和自由能的变化。基于与通信系统相关联的边际概率和条件熵来确定噪声信道的互信息(容量)的最大化。尽管程序最初看起来可能不同,但通过探索简单的“双重用途”伊辛模型,可以看出这两个概念实际上是相同的。特别地,详细计算了二进制对称信道的情况。

英文摘要:

The minimization of Gibbs free energy is based on the changes in work and free energy that occur in a physical or chemical system. The maximization of mutual information, the capacity, of a noisy channel is determined based on the marginal probabilities and conditional entropies associated with a communications system. As different as the procedures might first appear, through the exploration of a simple, "dual use" Ising model, it is seen that the two concepts are in fact the same. In particular, the case of a binary symmetric channel is calculated in detail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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