For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

By considering generalized logarithm and exponential functions used in nonextensive
statistics, the four usual algebraic operators: addition, subtraction, product and division, are …

We review simple aspects of the thermodynamic and dynamical properties of systems with
long-range pairwise interactions (LRI), which decay as 1/rd+ σ at large distances r in d …

We discuss a method to solve models with long-range interactions in the microcanonical
and canonical ensemble. The method closely follows the one introduced by RS Ellis …

Using the theory of large deviations, we analyze the phase transition structure of the Curie–
Weiss–Potts spin model, which is a mean-field approximation to the nearest-neighbor Potts …

We illustrate a novel characterization of nonequivalent statistical mechanical ensembles
using the mean-field Blume–Emery–Griffiths (BEG) model as a test model. The novel …

In this paper we give a complete analysis of the phase transitions in the mean-field Blume–
Emery–Griffiths lattice-spin model with respect to the canonical ensemble, showing both a …

Recent theoretical studies of statistical mechanical properties of systems with long range
interactions are briefly reviewed. In these systems the interaction potential decays with a rate …

This paper shows for a general class of statistical mechanical models that when the
microcanonical and canonical ensembles are nonequivalent on a subset of values of the …

We study a simple micro-mechanical device that does not lose its snap-through behavior in
an environment dominated by fluctuations. The main idea is to have several degrees of …