"Gibbsian" Approach to Statistical Mechanics yielding Power Law Distributions
 Abstract
Gibbsian statistical mechanics is extended into the domain of nonnegligible correlations in phase space while respecting the fundamental laws of thermodynamics. The appropriate Gibbsian probability distribution is derived and the physical temperature identified. Consistent expressions for the canonical partition function are given. In a first application, the corresponding Boltzmann, Fermi and BoseEinstein distributions are obtained. It is shown that the latter lose their typical quantum properties, i.e. the degenerate Fermi state and BoseEinstein condensation. These distributions apply only to states at finite temperature with correlations. As a byproduct these results exclude any negative absolute temperatures also in the Boltzmann limit.
 Further Information
 http://arxiv.org/abs/1406.6639
 BibTeX

@article{id1974, author = {Treumann, R. A. and Baumjohann, W.}, journal = {arXive [condmat]}, language = {en}, note = {6 Journal pages}, title = {''Gibbsian'' Approach to Statistical Mechanics yielding Power Law Distributions}, url = {http://arxiv.org/abs/1406.6639}, volume = {1406.6639}, year = {2014}, }
 EndNote

%O Journal Article %A Treumann, R. A. %A Baumjohann, W. %J arXive [condmat] %G en %O 6 Journal pages %T "Gibbsian" Approach to Statistical Mechanics yielding Power Law Distributions %U http://arxiv.org/abs/1406.6639 %V 1406.6639 %D 2014