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

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