Nonextensive Statistical Mechanics

5.7 A Conjecture on the Time and Size Dependences of Entropy 205Table 5.1 Three possible physical interpretations of Eq. (5.50) within BG statistical mechanicsx a y(x)−β EiEquilibrium distribution E i −β Z 1 p(E i ) = eSensitivity to the initial conditions t λ 1 ξ(t) = e λ1 tTypical relaxation of observable O t −1/τ 1 (t) = e −t/τ1Table 5.2 Three possible physical interpretations of Eq. (5.55) within nonextensive statisticalmechanicsx a y(x)−β EiStationary state distribution E i −β Z qstat p(E i ) = eq statSensitivity to the initial conditions t λ qsen ξ(t) = e λqsen tq senTypical relaxation of observable O t −1/τ qrel (t) = e −t/τq relq rel