WebApr 18, 2024 · Tsallis' statistics , which is an extension of Boltzmann-Gibbs's (BG) statistical theory, defines a nonextensive (NE), i.e., nonadditive entropy as where p i is the probability … WebThe limit of validity of ordinary statistical mechanics and the pertinence of Tsallis statistics beyond it is explained considering the most probable evolution of complex systems processes. To this purpose we employ a dissipative Landau–Ginzburg kinetic equation that becomes a generic one-dimensional nonlinear iteration map for discrete …
α-divergence derived as the generalized rate function in a power …
WebFeb 22, 2024 · The term Tsallis statistics usually refers to the collection of mathematical functions and associated probability distributions that were originated by Constantino … The term Tsallis statistics usually refers to the collection of mathematical functions and associated probability distributions that were originated by Constantino Tsallis. Using that collection, it is possible to derive Tsallis distributions from the optimization of the Tsallis entropic form. A continuous real parameter q can be … See more • Tsallis entropy • Tsallis distribution • q-Gaussian • q-exponential distribution • q-Weibull distribution See more • Tsallis statistics on arxiv.org See more onslow road stockport
Possible generalization of Boltzmann-Gibbs statistics
WebTsallis representations of turbulence involve the extrapolation of results for systems with a single degree of freedom, a procedure that requires critical examination. Theories of … Webposed based upon the generalized statistical mechanics of Tsallis @10#. In the Tsallis formalism, a generalized statistics is built from the generalized entropy Sq5k 12(pi q q21 … WebOct 3, 2024 · In order to take both the fluctuation and the collective expansion into account, the Tsallis statistics is embedded into the BGBW model. The Tsallis blast-wave (TBW) … iof homepage