Nonextensive statistical mechanics: Applications to high energy physics

Nonextensive statistical mechanics was proposed in 1988 on the basis of the nonadditive entropy S-q = kinverted right perpendicular1 - Sigma P-i(i)q/inverted left perpendicular/(q - 1) (q is an element of R) which generalizes that of Boltzmann-Gibbs S-BG = S-1 = -k Sigma P-i(i) In P-i. This theory extends the applicability of standard statistical mechanics in order to also cover a wide class of anomalous systems which violate usual requirements such as ergodicity. Along the last two decades, a variety of applications have emerged in natural, artificial and social systems, including high energy phenomena. A brief review of the latter will be presented here, emphasizing some open issues.