Dual description of nonextensive ensembles

Details Dual description of nonextensive ensembles Dual description of nonextensive ensembles

1999-04-06

arxiv.org/abs/cond-mat/9904070v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Dual description of nonextensive ensembles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dual description of nonextensive ensembles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dual description of nonextensive ensembles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-186724