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Relevant bibliographies by topics / NON-EXTENSIVE ENTROPY

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Academic literature on the topic 'NON-EXTENSIVE ENTROPY'

Author: Grafiati

Published: 11 September 2023

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Journal articles on the topic "NON-EXTENSIVE ENTROPY"

1

Tatsuaki, Wada, and Saito Takeshi. "When non-extensive entropy becomes extensive." Physica A: Statistical Mechanics and its Applications 301, no. 1-4 (2001): 284–90. http://dx.doi.org/10.1016/s0378-4371(01)00400-9.

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2

Parvan, A. S., and T. S. Biró. "Extensive Rényi statistics from non-extensive entropy." Physics Letters A 340, no. 5-6 (2005): 375–87. http://dx.doi.org/10.1016/j.physleta.2005.04.036.

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3

Kang, Jin-Wen, Ke-Ming Shen, and Ben-Wei Zhang. "A Note on the Connection between Non-Additive Entropy and h-Derivative." Entropy 25, no. 6 (2023): 918. http://dx.doi.org/10.3390/e25060918.

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In order to study as a whole a wide part of entropy measures, we introduce a two-parameter non-extensive entropic form with respect to the h-derivative, which generalizes the conventional Newton–Leibniz calculus. This new entropy, Sh,h′, is proved to describe the non-extensive systems and recover several types of well-known non-extensive entropic expressions, such as the Tsallis entropy, the Abe entropy, the Shafee entropy, the Kaniadakis entropy and even the classical Boltzmann–Gibbs one. As a generalized entropy, its corresponding properties are also analyzed.

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4

Lieb, Elliott H., and Jakob Yngvason. "Entropy meters and the entropy of non-extensive systems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2167 (2014): 20140192. http://dx.doi.org/10.1098/rspa.2014.0192.

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In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states, we stressed the importance of being able to scale a system's size without changing its intrinsic properties. This leaves open the question of defining the entropy of macroscopic, but unscalable systems, such as gravitating bodies or systems where surface effects are important. We show here how the problem can be overcome, in principle, with the aid of an ‘entropy meter’. An entropy meter can also be used to determine entropy functions for non-equilibrium states and mesoscop

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5

Sattin, F. "Non-Extensive Entropy from Incomplete Knowledge of Shannon Entropy?" Physica Scripta 71, no. 5 (2005): 443–46. http://dx.doi.org/10.1238/physica.regular.071a00443.

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6

Bergamelli, Michele, Jan Novotný, and Giovanni Urga. "Maximum Non-Extensive Entropy Block Bootstrap for Non-stationary Processes." Articles 91, no. 1-2 (2016): 115–39. http://dx.doi.org/10.7202/1036916ar.

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In this paper, we propose a novel entropy-based resampling scheme valid for non-stationary data. In particular, we identify the reason for the failure of the original entropy-based algorithm of Vinod and López-de Lacalle (2009) to be the perfect rank correlation between the actual and bootstrapped time series. We propose the Maximum Entropy Block Bootstrap which preserves the rank correlation locally. Further, we also introduce the Maximum non-extensive Entropy Block Bootstrap to allow for fat tail behaviour in time series. Finally, we show the optimal finite sample properties of the proposed

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7

Leubner, M. P. "Consequences of entropy bifurcation in non-Maxwellian astrophysical environments." Nonlinear Processes in Geophysics 15, no. 4 (2008): 531–40. http://dx.doi.org/10.5194/npg-15-531-2008.

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Abstract. Non-extensive systems, accounting for long-range interactions and correlations, are fundamentally related to non-Maxwellian distributions where a duality of equilibria appears in two families, the non-extensive thermodynamic equilibria and the kinetic equilibria. Both states emerge out of particular entropy generalization leading to a class of probability distributions, where bifurcation into two stationary states is naturally introduced by finite positive or negative values of the involved entropic index kappa. The limiting Boltzmann-Gibbs-Shannon state (BGS), neglecting any kind of

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8

Algin, Abdullah. "Non-extensive entropy of bosonic Fibonacci oscillators." Journal of Statistical Mechanics: Theory and Experiment 2009, no. 04 (2009): P04007. http://dx.doi.org/10.1088/1742-5468/2009/04/p04007.

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9

Oikonomou, Th. "Properties of the “non-extensive Gaussian” entropy." Physica A: Statistical Mechanics and its Applications 381 (July 2007): 155–63. http://dx.doi.org/10.1016/j.physa.2007.03.010.

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10

Jizba, Petr, and Jan Korbel. "On q-non-extensive statistics with non-Tsallisian entropy." Physica A: Statistical Mechanics and its Applications 444 (February 2016): 808–27. http://dx.doi.org/10.1016/j.physa.2015.10.084.

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