Density operators that extremize Tsallis entropy and thermal stability effects
arXiv:cond-mat/0505158 · doi:10.1016/j.physa.2005.07.013
Abstract
Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD's) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in which the system is characterized by a series of discrete eigenstates of the Hamiltonian. Using these discrete PD's as "weights" leads to density operators of a rather general character. The present study allows one to vividly exhibit the effects of non-extensivity. Varying Tsallis' non-extensivity index one is seen to pass from unstable to stable systems and even to unphysical situations of infinite energy.
arXiv comment22 pages