Dual description of nonextensive ensembles
| dc.creator | Naudts, Jan | |
| dc.date | 1999-04-06 | |
| dc.date | 1999-04-13 | |
| dc.date.accessioned | 2026-07-07T03:13:11Z | |
| dc.date.available | 2026-07-07T03:13:11Z | |
| dc.description | In the case of a system with an unbounded hamiltonian the entropic index q of non-extensive thermodynamics has an upperbound q_c>1 beyond which the formalism becomes meaningless. The expression 1/(q_c-1) is the dimension of the state space (i.e. the manifold of density matrices) in the context of non-commutative geometry. For q=q_c an ultraviolet cutoff E< E_ub is needed to guarantee the existence of the equilibrium density matrix. Duality between q>1 and q<1-statistics via a q --> 1/q transformation is established. It leads to an overall picture in which the meaning of both q>1-statistics and q<1-statistics is clarified. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9904070 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9904070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29202 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dual description of nonextensive ensembles | |
| dc.type | text |