Density operators that extremize Tsallis entropy and thermal stability effects
Abstract
Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PDs) 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 PDs 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 q one is seen to pass from unstable to stable systems and even to unphysical situations of infinite energy.
- Publication:
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Physica A Statistical Mechanics and its Applications
- Pub Date:
- February 2006
- DOI:
- 10.1016/j.physa.2005.07.013
- arXiv:
- arXiv:cond-mat/0505158
- Bibcode:
- 2006PhyA..361..139V
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 22 pages