Dynamical nonextensivity or nonextensive dynamics?
نویسندگان
چکیده
منابع مشابه
Dynamical scenario for nonextensive statistical mechanics
Statistical mechanics can only be ultimately justified in terms of microscopic dynamics (classical, quantum, relativistic, or any other). It is known that Boltzmann-Gibbs statistics is based on the hypothesis of exponential sensitivity to the initial conditions , mixing and ergodicity in Gibbs Γ-space. What are the corresponding hypothesis for nonextensive statistical mechanics? A scenario for ...
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We construct classes of stochastic differential equations with fluctuating friction forces that generate a dynamics correctly described by Tsallis statistics and nonextensive statistical mechanics. These systems generalize the way in which ordinary Langevin equations underly ordinary statistical mechanics to the more general nonextensive case. As a main example, we construct a dynamical model o...
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Recently there is renewed interest in dissipative hydrodynamical models [1, 2, 3, 4, 5] prompted by the success of perfect hydrodynamics in describing RHIC data [6] and by recent calculations of transport coefficients of strongly interacting quark-gluon system using the AdS/CFT correspondence [7]. The question is whether dissipative hydrodynamics (d-hydrodynamics) is really needed and how it sh...
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We have discussed dynamical properties of the Tsallis entropy and the generalized Fisher information in nonextensive systems described by the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the timedependent Tsallis entropy and generalized Fisher information have been obtained with the use of the q-moment approach to the Fokker-Planck equation developed...
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The Tsallis entropy and Fisher information entropy (matrix) are very important quantities expressing information measures in nonextensive systems. Stationary and dynamical properties of the information entropies have been investigated in the N -unit coupled Langevin model subjected to additive and multiplicative white noise, which is one of typical nonextensive systems. We have made detailed, a...
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ژورنال
عنوان ژورنال: The European Physical Journal Special Topics
سال: 2020
ISSN: 1951-6355,1951-6401
DOI: 10.1140/epjst/e2020-900207-y