Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. Taking the Tsallis entropy as an example, it is shown that the concept of the physical temperature introduced through the generalized zeroth law of thermodynamics necessarily leads to...

We discuss the consequences of introducing quantum group invariance in nonextensive quantum statistical mechanics. In particular, we show that in the Tsallis formalism the simplest quantum group invariant density matrix leads to a thermodynamics equivalent to the Bose–Einstein case in the...

This paper generalizes previous results concerning the definitions of physical temperature and pressure in nonextensive statistical thermodynamics. The novelty is that both the internal energy and the volume are no longer additive functions. The new approach is referred to as "fully"...

This is a study of the information evolution of complex systems by a geometrical consideration. We look at chaotic systems evolving in fractal phase space. The entropy change in time due to the fractal geometry is assimilated to the information growth through the scale refinement. Due to the...

A nonextensive thermostatic approach to chaotic dynamical systems is developed by expressing generalized Tsallis distribution as escort distribution. We explicitly consider the thermodynamic limit and also derive the Legendre Transform structure. As an application, bit variance is calculated for...