{ "id": "0809.3540", "version": "v1", "published": "2008-09-22T18:34:55.000Z", "updated": "2008-09-22T18:34:55.000Z", "title": "A Note on the Equivalence of Gibbs Free Energy and Information Theoretic Capacity", "authors": [ "David Ford" ], "comment": "6 pages, 3 figures", "categories": [ "cond-mat.stat-mech", "cs.IT", "math.IT" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-09-22T18:34:55.000Z" } ], "analyses": { "keywords": [ "gibbs free energy", "information theoretic capacity", "equivalence", "binary symmetric channel", "first appear" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.3540F" } } }