1. F Statistical mechanics of sorting (I) SORTING and WEIGHTING theoretical or experimental data is an exact method to generate a statistical ensemble Ex: microcanonicalcanonical P arb (E) = N arb (E)/N tot arbitrary event distribution N arb (E (n) =E) = N tot P arb (E  E-E (n) ) sorting an arbitrary distribution  P E (e.g. canonical) makes a microcanonical N arb (E (n) =E)e -  E /P arb (E) weighting an arbitrary distribution (e.g.  P  collection of microcanonical) makes a canonical

2. F Statistical mechanics of sorting (II) The different statistical ensembles are defined by the conservation laws and the average value of the different state variables The procedure of : a) Sorting (ex: complete events at a given deposited energy) and b) Measuring first and second moments of a given state variable (ex: Z big ) creates a Tsallis statistical ensemble N (Z tot =Z, E tot =E, =Z m, 2     exp q  Z big ) (n) )= (1+(q-1)  Z big ) -q/(q-1) (equivalent to Boltzmann-Gibbs if q=1) R.S.Johal et al.PRE(2003)

3. F Non triviality of sorting statistical ensembles are not equivalent if sorting is performed on the order parameter Energy canonical E = cst dN/dA dN/dA big gran canonical A tot = cte A