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Number of results

Journal

2006 | 4 | 3 | 363-368

Article title

Lévy-statistics for partially equilibrated systems

Content

Title variants

Languages of publication

EN

Abstracts

EN
We examine deviations from Boltzmann-Gibbs statistics for a certain class of partially equilibrated systems of finite size. We find that such systems are characterized by the Lévy distribution whose non-extensivity parameter is related to the number of internally equilibrated subsystems and to correlations among them. This concept is applicable to relativistic heavy ion collisions.

Publisher

Journal

Year

Volume

4

Issue

3

Pages

363-368

Physical description

Dates

published
1 - 9 - 2006
online
1 - 9 - 2006

Contributors

  • Department of Physics and Astronomy, Drake University, Des Moines, IA, 50311, USA

References

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  • [2] G. Wilk and Z. Włodarczyk: “Interpretation of the nonextensivity parameter q in some applications of Tsallis statistics and Lévy distributions”, Phys. Rev. Lett., Vol. 84, (2000), p. 2770; this work addresses only the q > 1 case. The generalization to q < 1 is provided in G. Wilk and Z. Włodarczyk: “The imprints of nonextensive statistical mechanics in high-energy collisions, in classical and quantum complexity and nonextensive thermodynamics” Chaos, Solitons, and Fractals Vol. 13, (2002), p. 547. http://dx.doi.org/10.1103/PhysRevLett.84.2770
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  • [5] O.V. Utyuzh, G. Wilk and Z. Włodarczyk: “The fractal properties of the source and BEC”, Czech J. Phys., Vol. 50/S2, (2000), p. 132.
  • [6] G. Wilk and Z. Włodarczyk: “Do we observe Lévy flights in cosmic rays?”, Nucl. Phys., Vol. B, Proc. Suppl., Vol. 75A, (1999), p. 191.
  • [7] T.H. Solomon, E.R. Weeks and H.L. Swinney: “Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow”, Phys. Rev. Lett., Vol. 71, (1993), p. 3975. http://dx.doi.org/10.1103/PhysRevLett.71.3975[Crossref]
  • [8] F. Bardou, J.P. Bouchaud, O. Emile, A. Aspect and C. Cohen-Tannoudji: “Subrecoil laser cooling and Lévy flights”, Phys. Rev. Lett., Vol. 72, (1994), p. 203. http://dx.doi.org/10.1103/PhysRevLett.72.203[Crossref]
  • [9] G. Kaniadakis, A. Lavagno and P. Quarati: “Generalized fractional statistics”, Mod. Phys. Lett., Vol. B10, (1996), p. 497; U. Tirnakli and D.F. Torres: “Exact and approximate results of non-extensive quantum statistics”, Eur. Phys. J., Vol. B14, (2000), p. 691. [Crossref]
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  • [13] This ensemble differs from the polythermal ensemble proposed by G.D. Phillies: “The polythermal ensemble: A rigorous interpretation of temperature fluctuations in statistical mechanics”, Am. J. Phys., Vol. 52(7), (1984), p. 629 and which is related to global temperature fluctuations. Interestingly, in this article, Phillies has shown that β = 1/λ is a more fundamental physical variable for a small system than λ = T. http://dx.doi.org/10.1119/1.13583[Crossref]
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  • [17] T.S. Biro and A. Jakovac: “Power-law tails from multiplicative noise”, Phys. Rev. Lett., Vol. 94, (2005), art. 132302.
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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-006-0019-9
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