World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Consequences of Entropy Bifurcation in Non-maxwellian Astrophysical Environments : Volume 15, Issue 4 (04/07/2008)

By Leubner, M. P.

Click here to view

Book Id: WPLBN0003985645
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Consequences of Entropy Bifurcation in Non-maxwellian Astrophysical Environments : Volume 15, Issue 4 (04/07/2008)  
Author: Leubner, M. P.
Volume: Vol. 15, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Leubner, M. P. (2008). Consequences of Entropy Bifurcation in Non-maxwellian Astrophysical Environments : Volume 15, Issue 4 (04/07/2008). Retrieved from

Description: Institute for Astro- and Particle Physics, University of Innsbruck, Innsbruck, Austria. Non-extensive systems, accounting for long-range interactions and correlations, are fundamentally related to non-Maxwellian distributions where a duality of equilibria appears in two families, the non-extensive thermodynamic equilibria and the kinetic equilibria. Both states emerge out of particular entropy generalization leading to a class of probability distributions, where bifurcation into two stationary states is naturally introduced by finite positive or negative values of the involved entropic index kappa. The limiting Boltzmann-Gibbs-Shannon state (BGS), neglecting any kind of interactions within the system, is subject to infinite entropic index and thus characterized by self-duality. Fundamental consequences of non-extensive entropy bifurcation, manifest in different astrophysical environments, as particular core-halo patterns of solar wind velocity distributions, the probability distributions of the differences of the fluctuations in plasma turbulence as well as the structure of density distributions in stellar gravitational equilibrium are discussed. In all cases a lower entropy core is accompanied by a higher entropy halo state as compared to the standard BGS solution. Data analysis and comparison with high resolution observations significantly support the theoretical requirement of non-extensive entropy generalization when dealing with systems subject to long-range interactions and correlations.

Consequences of entropy bifurcation in non-Maxwellian astrophysical environments

Bruno, R., Carbone, V., Veltri, P., Pietropaolo, E., and Bavassano, B.: Identifying intermittency events in the solar wind, Planetary Space Sci., 49, 1201, 2001.; Bruno R. and Carbone, V.: The Solar Wind as a Turbulence Laboratory, Living Rev. Solar Phys., 2, 1,2005.; Burkert, A.: The Structure of Dark Matter Halos in Dwarf Galaxies, Astrophys. J., 447, L25, 1995.; Burlaga, L. F.: Multifractal structure of speed fluctuations in recurrent streams at 1 AU and near 6 AU, Geophys. Res. Lett., 18, 1651, 1991.; Burlaga, L. F.: Multifractal structure of the magnetic field and plasma in recurrent streams at 1 AU, J. Geophys. Res., 97, 4281, 1992.; Cavaliere, A. and Fusco-Femiano, R.: X-rays from hot plasma in clusters of galaxies, Astron. Astrophys., 49, 137, 1976.; Almeida, M. P.: Generalized entropies from first principles, Physica A, 300, 424, 2001.; Andrade, J. S. Almeida, M. P. Moreira A. A., and Farias, G. A.: Extended phase-space dynamics for the generalized nonextensive thermostatistics, Phys. Rev. E, 65, 036121, 2002.; Ascasibar, Y., Yepes, G., Gottlöber, S., and Müller, V.: On the physical origin of dark matter density profiles, MNRAS, 352, 1109, 2004.; Bahcall, N. A. and Lubin, L. M.: Resolving the beta-discrepancy for clusters of galaxies, Astrophys. J., 426, 513, 1994.; Bak, P., Tang, C., and Wiesenfeld, K.: Self-organized criticality, Phys. Rev. A, 38, 364, 1988.; Bak., P.: How nature works - the science of self-organized criticality, Copernicus, New York, 1996.; Binney, J. and Tremaine, S.: Galactic Dynamics, Princeton Univ. Press, 1994.; Chang, T.: Self-organized criticality, multifractal spectra, sporadic localized reconnections and intermittent turbulence in magnetotail, Phys. Plasmas, 6, 4137, 1999.; Chapman, S. C., Watkins, N. W., Dendy, R. O., Helander P., and Rowlands, G.: A simple avalanche model as an analogue for magnetospheric activity, Geophys. Res. Lett., 25, 2397, 1998.; Chapman, S. C. and Watkins, N. W.:� Avalanching and Self-Organised Criticality, a paradigm for geomagnetic activity?, Space Sci. Rev., 95, 293, 2001.; Chavanis, P. H. and Bouchet, F.: On the coarse-grained evolution of collisionless stellar systems, Astron. Astrophys.: 430, 771, 2005.; Collier, M. R.: The adiabatic transport of superthermal distributions modelled by kappa functions, Geophys. Res. Lett., 22, 2673, 1995.; Firmani, C., Onghia, E. D., Avila-Reese, V., Chincarini, G., and Hernandez, X.: Evidence of self-interacting cold dark matter from galactic to galaxy cluster scales, MNRAS 315, L29, 2000.; Goldstein S. and Lebowitz, J. L.: On the (Boltzmann) entropy of nonequilibrium systems, Physica D, 193, 53, 2004.; Gotoh T. and Kraichnan, R. H.: Turbulence and Tsallis statistics, Physica D, 231, 244, 2002.; Gunn, J E. and Gott,J R I.: On the infall of matter into clusters of galaxies and some effects on their evolution, Astrophys. J., 176, 1, 1972.; Hnat, B., Chapman, S. C., Rowlands, G., Watkins N. W., and Freeman M. P.: Scaling of solar wind e and the AU, AL and AE indices as seen by WIND, Geophys. Res. Lett., 29, 2078, 2003.; Hoffman, Y.: On the formation and structure of galactic halos, Astrophys. J., 328, 489, 1988.; Karlin, I. V., Grmela, M., and Gorban, A. N.: Duality in nonextensive statistical mechanics, Phys. Rev. E, 65, 036128, 2002.; Kronberger, T., Leubner, M. P., and van Kampen, E.: Dark matter density profiles: A comparison of nonextensive theory with N-body simulations, Astron. Astrophys., 453, 21, 2006.; Leubner, M. P. and Viñas, A. F.: Stability analysis of double-peaked proton distribution functions in the solar wind, J. Geophys. Res. 91, 13366, 1986.; Leubner, M. P.: Wave induced suprathermal tail generation of electron velocity space distributions, Planet. Space Sci., 48, 133, 2000.; Leubner M. P. and Schupfer, N.: A general kinetic mirror instability criterion for space applications, J. Geophys. Res., 106, 12993, 2001.; Leubner, M. P.: A non-extensive entropy approach to kappa-distributions, Astrophys. Space Sci.


Click To View

Additional Books

  • Simulation of the Long-term Behaviour of... (by )
  • Long-term Evolution of Strongly Nonlinea... (by )
  • Correlations Between Climate Network and... (by )
  • Egs Richardson Agu Chapman Nvag3 Confere... (by )
  • The Role of Subsidence in a Weakly Unsta... (by )
  • Vertical Mixing and Coherent Anticyclone... (by )
  • Spatial Dependences Among Precipitation ... (by )
  • A Note on Taylor's Hypothesis Under Larg... (by )
  • Modeling of Short Scale Turbulence in th... (by )
  • Multifractal Earth Topography : Volume 1... (by )
  • Current Challenges for Pre-earthquake El... (by )
  • Prediction of Magnetic Storm Events Usin... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.