Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws

Details Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws

2006-04-11

arxiv.org/abs/cond-mat/0604290v2

Physics

Condensed Matter

Statistical Mechanics

Review of PhD thesis with 10 pages and 3 eps figures (Revised version)

Scientific paper

The foundations for a thermo-statistical description of the called non extensive Hamiltonian systems are reconsidered. The relevance of the parametric resonance as a fundamental mechanism of the Hamiltonian chaoticity in those systems with bound motions in the configurational space is discussed. The universality of this mechanism suggests us the possibility of performing a thermo-statistical description with microcanonical basis in the context of the long-range interacting Hamiltonian systems. The concept of selfsimilarity is proposed as an appropriate generalization of the well-known extensive conditions exhibited by the traditional systems, which is used to justify a given generalized thermodynamic formalism starting from the consideration of the microcanonical ensemble, i.e. the nonextensive Statistics of Tsallis. These ideas are illustrated by considering a recent proposed astrophysical model based on the quasi-ergodic character of the microscopic dynamics of these paradigmatic examples of real long-range interacting systems.

Affiliated with

Also associated with

No associations

Rating

Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws 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 Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225853