English

Dynamic Tsallis entropy for simple model systems

Other Condensed Matter 2007-05-23 v1

Abstract

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 nonextensivity 0<q<10<q<1 works as 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 qq.

Keywords

Cite

@article{arxiv.cond-mat/0602049,
  title  = {Dynamic Tsallis entropy for simple model systems},
  author = {Nail R. Khusnutdinov and Renat M. Yulmetyev and Natalya A. Emelyanova},
  journal= {arXiv preprint arXiv:cond-mat/0602049},
  year   = {2007}
}

Comments

16 pages, 11 Figures