Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385791189> ?p ?o ?g. }
- W4385791189 abstract "The Boltzmann-Gibbs (BG) statistical mechanics constitutes one of the pillars of contemporary theoretical physics. It is constructed upon the other pillars-classical, quantum, relativistic mechanics and Maxwell equations for electromagnetism-and its foundations are grounded on the optimization of the BG (additive) entropic functional [Formula: see text]. Its use in the realm of classical mechanics is legitimate for vast classes of nonlinear dynamical systems under the assumption that the maximal Lyapunov exponent is positive (currently referred to as strong chaos), and its validity has been experimentally verified in countless situations. It fails however when the maximal Lyapunov exponent vanishes (referred to as weak chaos), which is virtually always the case with complex natural, artificial and social systems. To overcome this type of weakness of the BG theory, a generalization was proposed in 1988 grounded on the non-additive entropic functional [Formula: see text]. The index [Formula: see text] and related ones are to be calculated, whenever mathematically tractable, from first principles and reflect the specific class of weak chaos. We review here the basics of this generalization and illustrate its validity with selected examples aiming to bridge natural and social sciences. This article is part of the theme issue 'Thermodynamics 2.0: Bridging the natural and social sciences (Part 2)'." @default.
- W4385791189 created "2023-08-14" @default.
- W4385791189 creator A5051451815 @default.
- W4385791189 date "2023-08-14" @default.
- W4385791189 modified "2023-10-01" @default.
- W4385791189 title "Non-additive entropies and statistical mechanics at the edge of chaos: a bridge between natural and social sciences" @default.
- W4385791189 cites W1493731061 @default.
- W4385791189 cites W1873431535 @default.
- W4385791189 cites W1892782243 @default.
- W4385791189 cites W1967201779 @default.
- W4385791189 cites W1968110842 @default.
- W4385791189 cites W1972300867 @default.
- W4385791189 cites W1976719090 @default.
- W4385791189 cites W1980905711 @default.
- W4385791189 cites W1983310679 @default.
- W4385791189 cites W1983355084 @default.
- W4385791189 cites W1983874169 @default.
- W4385791189 cites W1991843946 @default.
- W4385791189 cites W1993531156 @default.
- W4385791189 cites W1997414622 @default.
- W4385791189 cites W1998719100 @default.
- W4385791189 cites W2004972250 @default.
- W4385791189 cites W2005619765 @default.
- W4385791189 cites W2006206939 @default.
- W4385791189 cites W2010388718 @default.
- W4385791189 cites W2012855620 @default.
- W4385791189 cites W2017751279 @default.
- W4385791189 cites W2021467165 @default.
- W4385791189 cites W2022750201 @default.
- W4385791189 cites W2032383802 @default.
- W4385791189 cites W2040938175 @default.
- W4385791189 cites W2046454231 @default.
- W4385791189 cites W2053333723 @default.
- W4385791189 cites W2057453691 @default.
- W4385791189 cites W2059374347 @default.
- W4385791189 cites W2065353065 @default.
- W4385791189 cites W2070996748 @default.
- W4385791189 cites W2072785634 @default.
- W4385791189 cites W2077574606 @default.
- W4385791189 cites W2078477559 @default.
- W4385791189 cites W2078873572 @default.
- W4385791189 cites W2079061079 @default.
- W4385791189 cites W2079584573 @default.
- W4385791189 cites W2089852843 @default.
- W4385791189 cites W2090010802 @default.
- W4385791189 cites W2091585247 @default.
- W4385791189 cites W2108149670 @default.
- W4385791189 cites W2108999923 @default.
- W4385791189 cites W2114129774 @default.
- W4385791189 cites W2123269022 @default.
- W4385791189 cites W2125538435 @default.
- W4385791189 cites W2133969428 @default.
- W4385791189 cites W2138577220 @default.
- W4385791189 cites W2142361665 @default.
- W4385791189 cites W2145672247 @default.
- W4385791189 cites W2160943512 @default.
- W4385791189 cites W2161254582 @default.
- W4385791189 cites W2163502122 @default.
- W4385791189 cites W2164100825 @default.
- W4385791189 cites W2170439816 @default.
- W4385791189 cites W2170614585 @default.
- W4385791189 cites W2279200053 @default.
- W4385791189 cites W2319645128 @default.
- W4385791189 cites W2324785233 @default.
- W4385791189 cites W2460058663 @default.
- W4385791189 cites W2497099222 @default.
- W4385791189 cites W2551886971 @default.
- W4385791189 cites W2592884475 @default.
- W4385791189 cites W2594562288 @default.
- W4385791189 cites W2741958829 @default.
- W4385791189 cites W2752802567 @default.
- W4385791189 cites W2754092237 @default.
- W4385791189 cites W2769599190 @default.
- W4385791189 cites W2789738501 @default.
- W4385791189 cites W2793070290 @default.
- W4385791189 cites W2794273592 @default.
- W4385791189 cites W2803659365 @default.
- W4385791189 cites W2894904275 @default.
- W4385791189 cites W2898139345 @default.
- W4385791189 cites W2908900806 @default.
- W4385791189 cites W2928447065 @default.
- W4385791189 cites W2969550313 @default.
- W4385791189 cites W2974369449 @default.
- W4385791189 cites W2980199968 @default.
- W4385791189 cites W3005582583 @default.
- W4385791189 cites W3007061737 @default.
- W4385791189 cites W3019116540 @default.
- W4385791189 cites W3098782782 @default.
- W4385791189 cites W3099260443 @default.
- W4385791189 cites W3099448335 @default.
- W4385791189 cites W3100556136 @default.
- W4385791189 cites W3101597781 @default.
- W4385791189 cites W3101884525 @default.
- W4385791189 cites W3103102440 @default.
- W4385791189 cites W3103144861 @default.
- W4385791189 cites W3103941233 @default.
- W4385791189 cites W3104011693 @default.
- W4385791189 cites W3104035837 @default.
- W4385791189 cites W3104077012 @default.
- W4385791189 cites W3114476533 @default.