Dynamic Tsallis Entropy for Simple Model Systems

N Khusnutdinov; R Yulmetyev; N Emelyanova

doi:10.12693/APhysPolA.109.199

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Acta Physica Polonica A

2006 | 109 | 2 | 199-217

Article title

Dynamic Tsallis Entropy for Simple Model Systems

Authors

N Khusnutdinov , R Yulmetyev , N Emelyanova

Content

http://przyrbwn.icm.edu.pl/APP/PDF/109/a109z207.pdf [remote]

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Abstracts

In this paper we consider the dynamic Tsallis entropy and employ it for four model systems: (i) the motion of Brownian oscillator, (ii) the motion of Brownian oscillator with noise, (iii) the fluctuation of particle density in hydrodynamics limit as well as in (iv) ideal gas. We show that the small value of parameter non-extensivity 0 < q < 1 acts as a non-linear magnifier for small values of the entropy. The frequency spectra become more sharp and it is possible to extract useful information in the case of noise. We show that the ideal gas remains non-Markovian for arbitrary values of q.

Keywords

65.40.Gr

Publisher

Institute of Physics, Polish Academy of Sciences

Journal

Acta Physica Polonica A

Year

2006

Volume

109

Issue

Pages

199-217

Physical description

Dates

published

2006-02

received

2005-09-02

References

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Document Type

Publication order reference

YADDA identifier

bwmeta1.element.bwnjournal-article-appv109n207kz

Identifiers

DOI

10.12693/APhysPolA.109.199