Is nonextensive statistics applicable to continuous Hamiltonian systems?

Details Is nonextensive statistics applicable to continuous Hamiltonian systems? Is nonextensive statistics applicable to continuous Hamiltonian systems?

2010-03-18

arxiv.org/abs/1003.3592v2

Physics

Condensed Matter

Statistical Mechanics

Updated version with new title and new presentation; no changes in the mathematical analysis

Scientific paper

The homogeneous entropy for continuous systems in nonextensive statistics reads $S^{H}_{q}=k_B\,{(1 - (K \int d\Gamma \rho^{1/q}(\Gamma))^{q})}/({1-q})$, where $\Gamma$ is the phase space variable. Optimization of $S^{H}_{q}$ combined with normalization and energy constraints gives an implicit expression of the distribution function $\rho (\Gamma)$ which can be computed explicitly for the ideal gas. From this result, we compute properties such as the energy fluctuations and the specific heat. Similar results are also presented using the formulation based on the Tsallis entropy. From the analysis, we discuss the validity of the application of the nonextensive formalism to continuous Hamiltonian systems which is found to be restricted to the range $q<1$, which renders problematic its applicability to the class of phenomena exhibiting power law decay.

Affiliated with

Also associated with

No associations

Rating

Is nonextensive statistics applicable to continuous Hamiltonian systems? 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 Is nonextensive statistics applicable to continuous Hamiltonian systems?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Is nonextensive statistics applicable to continuous Hamiltonian systems? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700605