Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-03-04
Journal of Iranian Chemical Society, Vol. 6, No. 2, June 2009, pp. 341-344
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
In the framework of the Tsallis statistical mechanics, for the spin-1/2 and the harmonic oscillator, we study the change of the population of states when the parameter $q$ is varied; the results show that the difference between predictions of the Boltzmann--Gibbs and Tsallis Statistics can be much smaller than the precision of any existing experiment. Also, the relation between the privilege of rare/frequent event and the value of $q$ is restudied. This relation is shown to be more complicated than the common belief about it. Finally, the convergence criteria of the partition function of some simple model systems, in the framework of Tsallis Statistical Mechanics, is studied; based on this study, we conjecture that $q \leq 1$, in the thermodynamic limit.
Nassimi Ali M.
Parsafar Gholamabbas
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