Superstatistics: Theory and applications

Continuum Mechanics and Thermodynamics

Volumn 16, Issue 3, 2004, Pages 293-304

  Beck, C ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Fluctuations of temperature; Generalized entropies; Nonextensive statistical mechanics

Indexed keywords

EID: 2342549694     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-003-0145-1     Document Type: Article

References (30)

1. Tsallis, C.: Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479-487 (1988)
2. Tsallis, C., Mendes, R.S., Plastino, A.R.: The role of constraints within generalized nonextensive statistics. Physica A 261, 534-554 (1998)
3. Tsallis, C.: Nonextensive statistics: theoretical, experimental and computational evidence and connections. Braz. J. Phys. 29, 1-35 (1999)
4. Abe, S., Okamoto, Y. (eds): Nonextensive Statistical Mechanics and Its Applications, Springer Berlin (2001)
5. Beck, C., Lewis, G.S., Swinney, H.L.: Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow. Phys. Rev. E 63, 035303(R) (2001)
6. Beck, C.: On the small-scale statistics of Lagrangian turbulence. Phys. Lett. A 287, 240-244 (2001)
7. Daniels, K.E., Beck, C., Bodenschatz, E.: Defect turbulence and generalized statistical mechanics. cond-mat/0302623, Physica D (to appear) (2003)
8. - → 4 hadrons. Physica A 286, 156-163 (2000)
9. Tsallis, C., Anjos, J.C., Borges, E.P.: Fluxes of cosmic rays: a delicately balanced stationary state. Phys. Lett. 310, 372-376 (2003)
10. Wilk, G., Wlodarczyk, Z.: Interpretation of the nonextensivity parameter q in some applications of Tsallis statistics and Levy distributions. Phys. Rev. Lett. 84, 2770-2773 (2000)
11. Beck, C.: Dynamical foundations of nonextensive statistical mechanics. Phys. Rev. Lett. 87, 180601 (2001)
12. Beck, C., Cohen, E.G.D.: Superstatistics. Physica A 322, 267-275 (2003)
13. Tsallis, C., Souza, A.M.C.: Constructing a statistical mechanics for Beck-Cohen superstatistics. Phys. Rev. E 67, 026106 (2003)
14. Abe, S.: Generalized entropy optimized by an arbitrary distribution. cond-mat/0211437 (2002)
15. Abe, S.: Stability of Tsallis entropy and instabilities of Renyi and normalized Tsallis entropies: a basis for q-exponential distributions. Phys. Rev. E 66, 046134 (2002)
16. Tsallis, C., Souza, A.M.C.: Stability of the entropy for superstatistics. cond-mat/0301304 (2003)
17. Reynolds, A.M.: On the application of nonextensive statistics to Lagrangian turbulence. Phys. Fluids 15, L1-L4 (2003)
18. Beck, C.: Lagrangian acceleration statistics in turbulent flows. cond-mat/0212566 Europhys. Lett. (to appear) (2003)
19. Castaing, B., Gagne, Y., Hopfinger, E.J.: Velocity probability density functions of high Reynolds-number turbulence. Physica D 46, 177-200 (1990)
20. Beck, C. Superstatistics in hydrodynamic turbulence. physics/0303061 (2003) Physica D (to appear)
21. Sattin, F., Salasnich, L.: Multiparameter generalization of nonextensive statistical mechanics. Phys. Rev. E 65, 035106(R) (2002)
22. La Porta, A., Voth, G.A., Crawford, A.M., Alexander, J., Bodenschatz, E.: Fluid particle accelerations in fully developed turbulence. Nature 409, 1017 (2001)
23. Voth, G.A., et al: Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech. 469, 121-160 (2002)
24. Daniels, K.E., Bodenschatz, E.: Statistics of defect motion in spatio-temporal chaos in inclined layer convection. Chaos 13, 55-63 (2003)
25. Beck, C.: Non-extensive statistical mechanics and particle spectra in elementary interactions. Physica A 286, 164-180 (2000)
26. Gaisser, T.K., Stanev, T.: Cosmic rays. Phys. Rev. D 66, 010001-1 (2002) (http://pdg.lbl.gov)
27. Kaniadakis, G.: Statistical mechanics in the context of special relativity. Phys. Rev. E 66, 056125 (2002)
28. Beck, C.: Generalized statistical mechanics of cosmic rays. cond-mat/0301354 (2003) Physica A (to appear)
29. http://astroparticle.uchicago.edu/announce.htm (data compilation by Swordy, S.P.)
30. Hagedorn, R.: Nuovo Cimento 3, 147 (1965)