On the use of non-canonical quantum statistics

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.

arXiv comment29 pages, uses iopart.cls, major revisions of text for better readability, added a discussion about essentially microcanonical ensembles

References in corpus (5)

• The Physics and Mathematics of the Second Law of Thermodynamics
• Nonextensivity and multifractality in low-dimensional dissipative systems
• Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics
• Microscopic Foundation of Nonextensive Statistics
• Derivation and Improvements of the Quantum Canonical Ensemble from a Regularized Microcanonical Ensemble