English

On the use of non-canonical quantum statistics

Statistical Mechanics 2007-05-23 v3 Mathematical Physics math.MP

Abstract

We develop a method using a coarse graining of the energy fluctuations of an equilibrium quantum system which produces simple parameterizations for the behaviour of the system. As an application, we use these methods to gain more understanding on the standard Boltzmann-Gibbs statistics and on the recently developed Tsallis statistics. We conclude on a discussion of the role of entropy and the maximum entropy principle in thermodynamics.

Keywords

Cite

@article{arxiv.cond-mat/9911027,
  title  = {On the use of non-canonical quantum statistics},
  author = {Jani Lukkarinen},
  journal= {arXiv preprint arXiv:cond-mat/9911027},
  year   = {2007}
}

Comments

29 pages, uses iopart.cls, major revisions of text for better readability, added a discussion about essentially microcanonical ensembles