Is the Information Entropy the Same as the Statistical Mechanical Entropy?
classification
❄️ cond-mat.stat-mech
physics.chem-phphysics.data-an
keywords
entropyexpressiongeneralinformationstatisticaladditionalcasederivation
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It is shown that the standard expression for the information entropy, originally due to Shannon, is only valid for a particular set of states. For the general case of statistical mechanics, one needs to include an additional term in the expression for the entropy as a function of the probability. A simple derivation of the general formula is given.
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