Instability of q-expectation value

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, no figures

Scientific paper

q-Expectation value of a physical quantity is widely used in nonextensive
statistical mechanics. Here, it is shown that the q-expectation value is not
stable under small deformations of a probability distribution function, in
general, whereas the ordinary expectation value is always stable.

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