[HTML][HTML] Nonadditive entropy and nonextensive statistical mechanics-an overview after 20 years

C Tsallis - Brazilian Journal of Physics, 2009 - SciELO Brasil
Statistical mechanics constitutes one of the pillars of contemporary physics. Recognized as
such-together with mechanics (classical, quantum, relativistic), electromagnetism and …

Thermodynamics of metastable phase nucleation at the nanoscale

CX Wang, GW Yang - Materials Science and Engineering: R: Reports, 2005 - Elsevier
Chemical and physical routes under conditions of moderate not extreme temperatures and
pressures are generally used to synthesize nanocrystals and nanostructures with …

[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 …

Multilevel image thresholding based on 2D histogram and maximum Tsallis entropy—a differential evolution approach

S Sarkar, S Das - IEEE transactions on Image Processing, 2013 - ieeexplore.ieee.org
Multilevel thresholding amounts to segmenting a gray-level image into several distinct
regions. This paper presents a 2D histogram based multilevel thresholding approach to …

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 …

Nonextensive statistical mechanics and economics

C Tsallis, C Anteneodo, L Borland, R Osorio - Physica A: Statistical …, 2003 - Elsevier
Ergodicity, this is to say, dynamics whose time averages coincide with ensemble averages,
naturally leads to Boltzmann–Gibbs (BG) statistical mechanics, hence to standard …

Constructing a statistical mechanics for Beck-Cohen superstatistics

C Tsallis, AMC Souza - Physical Review E, 2003 - APS
The basic aspects of both Boltzmann-Gibbs (BG) and nonextensive statistical mechanics
can be seen through three different stages. First, the proposal of an entropic functional (S …

The rate of entropy increase at the edge of chaos

V Latora, M Baranger, A Rapisarda, C Tsallis - Physics Letters A, 2000 - Elsevier
Under certain conditions, the rate of increase of the statistical entropy of a simple, fully
chaotic, conservative system is known to be given by a single number, characteristic of this …

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 …

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 …