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 …
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 …
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …
q-distributions in complex systems: A brief review
The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing
research field. Probability distributions which emerges from the nonextensive formalism (q …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
It enables a successful thermal approach to ubiquitous systems, such as those involving …