Many applications of non-extensive statistical mechanics have been studied:
turbulence, anomalous diffusion, economy, cosmic ray fluxes, bacterial development,
self-organized criticality, self-gravitating systems..
All these phenomena share long-range correlations in space/time,
or fractal boundary conditions, or some mechanism creating
a scale-invariant hierarchical structure. Such phenomena
occur in non-linear dynamical systems, when the Lyapunov factors
approach zero and departure from
initial conditions is no longer exponential.
At the boundary of chaos, generalisations of the entropy, for instance
in terms of q-entropy, to take into account its pseudo-extensivity,
have encountered success in dealing with these non-linear
The meeting will focus on recent progress in
particular on statistical mechanics of
self-gravity, turbulence and stock markets.
The main topics will be:
- Statistical mechanics of collisionless stellar systems
- Interstellar medium, self-gravity and fractal structure
- Turbulence, chaos, and generalized thermodynamics
- Statistical mechanics of stock markets