Using Nonextensive Statistical Mechanics to Define the Displacement Moments for Asymmetric Long-Jump Distributions

S.A. MENCHÓN; C.A. CONDAT; P.W. LAMBERTI

Mar del Plata

Conferencia; MEDYFINOL'06, XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics; 2006

Although the second displacement moments for Lévy flights are not defined in the usual sense, a few years ago it was shown that nonextensive statistical mechanics can be used to define them in the case of symmetric flights. Here it is shown that the displacement moments of long-jump asymmetric flights can be regularized by calculating the averages in the form prescribed by the nonextensive statistical mechanics. However, no extremum principle for the entropy seems to be associated with the attractors.