A Comment on the Tsallis Maximum Entropy Principle

Details A Comment on the Tsallis Maximum Entropy Principle A Comment on the Tsallis Maximum Entropy Principle

2000-09-14

arxiv.org/abs/cond-mat/0009216v1

Physics

Condensed Matter

Statistical Mechanics

3 pages (two-column format), 1 figure

Scientific paper

Tsallis has suggested a nonextensive generalization of the Boltzmann-Gibbs entropy, the maximization of which gives a generalized canonical distribution under special constraints. In this brief report we show that the generalized canonical distribution so obtained may differ from that predicted by the law of large numbers when empirical samples are held to the same constraint. This conclusion is based on a result regarding the large deviation property of conditional measures and is confirmed by numerical evidence.

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