Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-11-04
Physics
Condensed Matter
Statistical Mechanics
20 pages
Scientific paper
Classical spin systems with nonadditive long-range interactions are studied in the microcanonical ensemble. It is expected that the entropy of such a system is identical to that of the corresponding mean-field model, which is called "exactness of the mean-field theory". It is found out that this expectation is not necessarily true if the microcanonical ensemble is not equivalent to the canonical ensemble in the mean-field model. Moreover, necessary and sufficient conditions for exactness of the mean-field theory are obtained. These conditions are investigated for two concrete models, the \alpha-Potts model with annealed vacancies and the \alpha-Potts model with invisible states.
No associations
LandOfFree
Microcanonical Analysis of Exactness of the Mean-Field Theory in Long-Range Interacting Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Microcanonical Analysis of Exactness of the Mean-Field Theory in Long-Range Interacting Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microcanonical Analysis of Exactness of the Mean-Field Theory in Long-Range Interacting Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-100563