Non-extensive entropy of bosonic Fibonacci oscillators

Algin, Abdullah

doi:10.1088/1742-5468/2009/04/p04007

Cited by 12 publications

(9 citation statements)

References 84 publications

(275 reference statements)

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“…(30). Furthermore, possible implications of a such Hamiltonian with the nonextensive thermostatistics and the Fibonacci calculus has been advanced in [31]. According to Eq.…”

Section: Consistence With the Thermostatistics Theorymentioning

confidence: 99%

Intensive variables in the framework of the non-extensive thermostatistics

Scarfone

2010

Physics Letters A

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By assuming an appropriate energy composition law between two systems governed by the same non-extensive entropy, we revisit the definitions of temperature and pressure, arising from the zeroth principle of thermodynamics, in a manner consistent with the thermostatistics structure of the theory. We show that the definitions of these quantities are sensitive to the composition law of entropy and internal energy governing the system. In this way, we can clarify some questions raised about the possible introduction of intensive variables in the context of non-extensive statistical mechanics.

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“…(30). Furthermore, possible implications of a such Hamiltonian with the nonextensive thermostatistics and the Fibonacci calculus has been advanced in [31]. According to Eq.…”

Section: Consistence With the Thermostatistics Theorymentioning

confidence: 99%

Intensive variables in the framework of the non-extensive thermostatistics

Scarfone

2010

Physics Letters A

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“…For the last two decades, diverse models of deformed oscillators have received much attention due to both their unusual properties, as compared with the standard quantum harmonic oscillator, and their great potential for being applied in description of miscellaneous physical systems showing essential nonlinearities. The diversity of applications ranges from, say, quantum optics and Landau problem to high energy quantum particle phenomenology, modern quantum field theory and D-brane (string) theory [1][2][3][4][5][6][7][8][9]. Among the best known, extensively studied deformed oscillators we encounter such as the q-deformed Arik-Coon (AC) one [10] and Biedenharn-Macfarlane (BM) one [11,12], as well as the two-parameter p,q-deformed oscillator [13].…”

Section: Introductionmentioning

confidence: 99%

Intercepts of the momentum correlation functions in the $ \mu$ -Bose gas model and their asymptotics

Gavrilik

Rebesh

2011

Eur. Phys. J. A

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The so-called µ-deformed oscillator (or µ-oscillator) introduced by A. Jannussis, though possesses rather exotic properties with respect to other better known deformed oscillator models, also has good potential for diverse physical applications. In this paper, the corresponding µ-Bose gas model based on µ-oscillators is developed. Within this model, the intercepts λ (2) (K) and λ (3) (K) of two-and three-particle momentum correlation functions are calculated with the goal of possible application for modeling the non-Bose type behavior of the intercepts of two-and three-pion correlations, observed in the experiments on relativistic heavy ion collisions. In derivation of intercepts, a fixed order of approximation in the deformation parameter µ is assumed. For the asymptotics of the intercepts λ (2) (K) and λ (3) (K), we derive exact analytical formulas. The results for λ (2) (K) are compared with experimental data, and with earlier known results drawn using other deformed Bose gas models.

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“…Such a study has been recently carried out in [16]. Possible implications of the Fibonacci oscillator algebra in the framework of Tsallis nonextensive statistics has been also discussed in [43].…”

Section: Discussionmentioning

confidence: 99%