TY  - Type of reference 
TI  - The winding path to entropy 
AU  - Constantino Tsallis 
AB  - The concept of entropy has traveled along winding roads since it was introduced in 1865 by Clausius as a key piece to complete thermodynamics and its Legendre transforms structure. Boltzmann, followed by Gibbs, has then revealed its microscopic interpretation, thus leading to the additive expression $$$S_{BG}=k\sum_{i=1}^W p_i \ln (1/p_i)$$$. A few decades later von Neumann provided its quantum form, and Shannon connected it to the theory of communications. Some time later, in 1961, Rényi generalized the Boltzmann-Gibbs-von Neumann-Shannon form, though preserving its additivity. There was then a real explosion of nonadditive entropic functionals, close to fifty nowadays. Inspired by multifractals, we postulated in 1988 the form $$$S_q\equiv k \sum_{i=1}^W p_i \ln_q (1/p_i)$$$ [with $$$\ln_q z \equiv (z^{1-q}-1)/(1-q);\, \ln_1z=\ln z$$$] as a basis for generalizing the Boltzmann-Gibbs statistical mechanics itself. Along the present brief perspective, we present the foundations and main applications of this theory, currently referred to as nonextensive statistical mechanics. 
DO  - 10.21494/ISTE.OP.2023.0985 
JF  - Entropy: Thermodynamics – Energy – Environment – Economy  
KW  - thermodynamics,  nonadditive entropy,  nonextensive statistical mechanics,  edge of chaos,  long-range interactions,  fractals, thermodynamique,  entropie non additive,  mécanique statistique non extensive,  seuil du chaos,  interactions de longue portée,  fractals,  
L1  - http://openscience.fr/IMG/pdf/iste_entropie23v4n2_4.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2023/05/30 
SN  - 2634-1476 
TT  - Les sinueux chemins de l’entropie 
UR  - http://openscience.fr/The-winding-path-to-entropy 
IS  - Special issue LILA 
VL  - 4 
ER  -