What should a statistical mechanics satisfy to reflect nature?

C Tsallis - Physica D: Nonlinear Phenomena, 2004 - Elsevier
There is no compelling reason imposing that the methods of statistical mechanics should be
restricted to the dynamical systems which follow the usual Boltzmann–Gibbs prescriptions …

[图书][B] Introduction to nonextensive statistical mechanics: approaching a complex world

C Tsallis - 2009 - Springer
Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

q-distributions in complex systems: A brief review

S Picoli Jr, RS Mendes, LC Malacarne… - Brazilian Journal of …, 2009 - SciELO Brasil
The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing
research field. Probability distributions which emerges from the nonextensive formalism (q …

Beyond kappa distributions: Exploiting Tsallis statistical mechanics in space plasmas

G Livadiotis, DJ McComas - Journal of Geophysical Research …, 2009 - Wiley Online Library
Empirically derived kappa distributions are becoming increasingly widespread in space
physics as the power law nature of various suprathermal tails is melded with more classical …

[图书][B] Generalised thermostatistics

J Naudts - 2011 - books.google.com
The domain of non-extensive thermostatistics has been subject to intensive research over
the past twenty years and has matured significantly. Generalised Thermostatistics cuts …

Beyond the Zipf–Mandelbrot law in quantitative linguistics

MA Montemurro - Physica A: Statistical Mechanics and its Applications, 2001 - Elsevier
In this paper the Zipf–Mandelbrot law is revisited in the context of linguistics. Despite its
widespread popularity the Zipf–Mandelbrot law can only describe the statistical behaviour of …

I. nonextensive statistical mechanics and thermodynamics: Historical background and present status

C Tsallis - Nonextensive statistical mechanics and its applications, 2001 - Springer
The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is focused on along a historical perspective. It is then formally enlarged in order …

Entropic nonextensivity: a possible measure of complexity

C Tsallis - Chaos, Solitons & Fractals, 2002 - Elsevier
An updated review (corresponding to the inaugural talk delivered at the The International
Workshop on Classical and Quantum Complexity and Nonextensive Thermodynamics …

On generalized fractional kinetic equations

RK Saxena, AM Mathai, HJ Haubold - Physica A: Statistical Mechanics and …, 2004 - Elsevier
In a recent paper, Saxena et al.(Astro Phys. Space Sci. 282 (2002) 281) developed solutions
of generalized fractional kinetic equations in terms of Mittag–Leffler functions. The object of …

Nonextensive statistical mechanics: A brief introduction

C Tsallis, E Brigatti - Continuum Mechanics and Thermodynamics, 2004 - Springer
Boltzmann-Gibbs statistical mechanics is based on the entropy S_\rmBG=-ki=1^Wp_i\lnp_i.
It enables a successful thermal approach to ubiquitous systems, such as those involving …