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Creating kappa-like distributions from a Galton board

Leitner, M.; Leubner, M.P.; Vörös, Z. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 7, pp. 1248-1257

The Galton board is a classical device demonstrating geometrically the formation of normal distributions. In view of long-range interactions, governed by nonextensive statistics, the concept of the Galton board is extended providing numerically the corresponding power-law distributions. Within...

Persistent link: https://www.econbiz.de/10011057052

Tsallis’ q-triplet and the ozone layer

Ferri, G.L.; Reynoso Savio, M.F.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 9, pp. 1829-1833

Tsallis’ q-triplet [C. Tsallis, Dynamical scenario for nonextensive statistical mechanics, Physica A 340 (2004) 1–10] is the best empirical quantifier of nonextensivity. Here we study it with reference to an experimental time-series related to the daily depth-values of the stratospheric...

Persistent link: https://www.econbiz.de/10010873239

Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere

Burlaga, L.F.; F.-Viñas, A. - In: Physica A: Statistical Mechanics and its Applications 361 (2006) 1, pp. 173-179

Tsallis [Physica A 340 (2004) 1) identified a set of numbers, the “q-triplet” ≡ {qstat, qsen, qrel}, for a system described by non-extensive statistical mechanics. The deviation of the q's from unity is a measure of the departure from thermodynamic equilibrium. We present observations of...

Persistent link: https://www.econbiz.de/10011057648

A two-stage reaction with initially separated reactants

Cox, Stephen M.; Clifford, Michael J.; Roberts, E.P.L. - In: Physica A: Statistical Mechanics and its Applications 256 (1998) 1, pp. 65-86

striations. The product R is desired, and S is an unwanted by-product. A corresponding reaction–diffusion system in one spatial … dimension is analysed in two special cases, and comparison is made with numerical simulations of the reaction and diffusion in a … periodic array of lamellae for realistic parameter values. For lamellar widths of the order of 1μm or less, diffusion rapidly …

Persistent link: https://www.econbiz.de/10011059167

White noise limits for discrete dynamical systems driven by fast deterministic dynamics

Givon, Dror; Kupferman, Raz - In: Physica A: Statistical Mechanics and its Applications 335 (2004) 3, pp. 385-412

slow timescale ratio. The fast components are governed by a strongly mixing discrete map, which is iterated at time … is, in the general case, of neither Itô nor Stratonovich type, but depends on the correlation time of the mixing process. …

Persistent link: https://www.econbiz.de/10011059563

Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems

Gomez, Ignacio; Castagnino, Mario - In: Physica A: Statistical Mechanics and its Applications 393 (2014) C, pp. 112-131

In this paper we translate the two higher levels of the Ergodic Hierarchy [11], the Kolmogorov level and the Bernoulli level, to quantum language. Moreover, this paper can be considered as the second part of [3]. As in [3], we consider the formalism where the states are positive...

Persistent link: https://www.econbiz.de/10011059929

Dynamical scenario for nonextensive statistical mechanics

Tsallis, Constantino - In: Physica A: Statistical Mechanics and its Applications 340 (2004) 1, pp. 1-10

the initial conditions, mixing and ergodicity in Gibbs Γ-space. What are the corresponding hypothesis for nonextensive …

Persistent link: https://www.econbiz.de/10011060375

Tsallis’ statistics in the variability of El Niño/Southern Oscillation during the Holocene epoch

Ferri, Gustavo L.; Figliola, Alejandra; Rosso, Osvaldo A. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 5, pp. 2154-2162

Analysis of the Tsallis q-triplet for the variability of El Niño Southern Oscillation (ENSO) index during the Holocene epoch (last 11,000 years) is presented. Three periods are analyzed, 0–7000, 7000–9700, 9700–11,000 years before the present. During the first and the third periods, the...

Persistent link: https://www.econbiz.de/10011063493

Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere

Burlaga, L.F.; -Viñas, A.F. - In: Physica A: Statistical Mechanics and its Applications 356 (2005) 2, pp. 375-384

Tsallis [Physica A 340 (2004) 1] identified a set of numbers, the “q-triplet” ≡{qstat, qsen, qrel}, for a system described by nonextensive statistical mechanics. The deviation of the q's from unity is a measure of the departure from thermodynamic equilibrium. We present observations of the...

Persistent link: https://www.econbiz.de/10011063589

Mixing and approach to equilibrium in the standard map

Baldovin, F - In: Physica A: Statistical Mechanics and its Applications 305 (2002) 1, pp. 124-128

For a paradigmatic case, the standard map, we discuss how the statistical description of the approach to equilibrium is related to the sensitivity to the initial conditions of the system. Using a numerical analysis we present an anomalous scenario that may give some insight on the foundations of...

Persistent link: https://www.econbiz.de/10010589109