Nonextensive Statistical Mechanics

p5.7 A Conjecture on the Time and Size Dependences of Entropy 207Sfixed N’>Nε 0ε 0ε ’< εεε 0q = q senq < q senSENSITIVITYq = q senq > q senε’< εRELAXATIONεε 0STATIONARYSTATEε ’< εεfixed N00tFig. 5.64 Schematic time-dependence of S q for various degrees of fine-graining ɛ. Instead of q sen ,a better notation would be q ent (we know that for one-dimensional nonlinear dynamical systems,we typically have q ent = q sen ). We are disregarding in this scenario the influence of possibleaveraging over initial conditions that might be necessary or convenient (from [200]).