Microcanonical Aproach for the OLA Model

Details Microcanonical Aproach for the OLA Model Microcanonical Aproach for the OLA Model

2001-07-20

arxiv.org/abs/cond-mat/0107440v3

Physics

Condensed Matter

Statistical Mechanics

7 pages, RevTeX, 1 postscript figure, Revised Version

Scientific paper

In the present paper it is analyzed a very simple example of pseudoextensive system, the tridimensional system of Linear Coupled Oscillators (OLA Model). The same one constitutes a classical tridimensional system of identical interacting particles by means of harmonic oscillators. This academic problem possesses a complete analytical solution allowing this way that it can find application in modeling some properties of the self-gravitating systems. It is shown that although this is a nonextensive system in the usual sense, it can be dealt in the thermodynamic limit with the usual Boltzmann-Gibbs' Statistics with an appropriate selection of the representation of the space of the integrals of motion.

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