A note on non-thermodynamical applications of non-extensive statistics

Abstract

It is pointed out that the constraint to be imposed to the maximization of the entropy for processes outside the class of thermodynamical systems, is generally not well defined. In fact, any probability distribution can be derived from Jaynes's principle with a suitable choice of the constraint. In the case of Tsallis's non-extensive formalism, this implies that it is not possible to establish any connection between specific non-thermodynamical processes and non-extensive mechanisms and, in particular, to assign any unambiguous non-extensivity index q to those processes.

Final version, to appear in Phys. Lett. A (2004)

References in corpus (7)

• Dynamical foundations of nonextensive statistical mechanics
• A nonextensive thermodynamical equilibrium approach in $e^{+}{e}^{-}\to hadrons$
• Nonextensive statistical mechanics and economics
• Measuring non-extensitivity parameters in a turbulent Couette-Taylor flow
• Dynamics and nonequilibrium states in the Hamiltonian mean-field model: A closer look
• Thermal measurements of stationary nonequilibrium systems: A test for generalized thermostatistics
• On the nonextensivity of the long range X-Y model

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• Questioning the validity of non-extensive thermodynamics for classical Hamiltonian systems
• Open Problems within Nonextensive Statistical Mechanics
• Conditional Lagrangian acceleration statistics in turbulent flows with Gaussian distributed velocities
• Stochastic models of Lagrangian acceleration of fluid particle in developed turbulence
• Perspective on Tsallis Statistics for Nuclear and Particle Physics