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Consistent order extended thermodynamics and its application to light scattering

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Trends and Applications of Mathematics to Mechanics
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Abstract

The new theory of consistently ordered extended thermodynamics is described and compared to the earlier theory of extended thermodynamics with respect to the efficiency with which these theories describe light scattering spectra. It turns out that the new theory is more efficient, albeit only slightly.

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References

  1. Müller, I, Ruggeri, T. (1998): Rational extended thermodynamics. (Springer Tracts in Natural Philosophy, vol. 37). Springer, New York

    MATH  Google Scholar 

  2. Müller, I., Reitebuch, D., Weiss, W. (2003): Extended thermodynamics — consistent in order of magnitude. Contin. Mech. Thermodyn. 15, 113–146

    Article  MATH  MathSciNet  Google Scholar 

  3. Bhatnagar, P.L., Gross, E.P., Krook, M. (1954): A model for collision processes in gases I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94, 511–525

    Article  MATH  Google Scholar 

  4. Weiss, W. (1990): Zur Hierarchie der Erweiterten Thermodynamik. Dissertation. Technische Universität Berlin, Berlin

    Google Scholar 

  5. Weiss, W., Müller, I. (1995): Light scattering and extended thermodynamics. Contin. Mech. Thermodyn. 7, 123–177

    MathSciNet  Google Scholar 

  6. Yip, S., Nelkin, M. (1964): Application of a kinetic model to time-dependent density correlations in fluids. Phys. Rev. (2) A 135, 1241–1247

    Article  MathSciNet  Google Scholar 

  7. Junk, M. (2004): Maximum entropy moment problems and extended Euler equations. In: Abdallah, N.B. et al. (eds.): Transport in transition regimes. Springer, New York, pp. 189–198

    Google Scholar 

  8. Grad, H. (1949): On the kinetic theory of rarefied gases. Comm. Pure Appl. Math. 2, 331–407

    MATH  MathSciNet  Google Scholar 

  9. Barbera, E., Müller, I., Reitebuch, D., Zhao, N.-R. (2004): Determination of boundary conditions in extended thermodynamics via fluctuation theory. Contin. Mech. Thermodyn., to appear. DOI: 10.1007/s00161-003-0165-x.

    Google Scholar 

  10. Clark, N.A. (1975): Inelastic light scattering from density fluctuations in dilute gases. The kinetic-hydrodynamic transition in a monatomic gas. Phys. Rev. A 12, 232–244

    Article  Google Scholar 

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© 2005 Springer-Verlag Italia

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Müller, I., Reitebuch, D. (2005). Consistent order extended thermodynamics and its application to light scattering. In: Rionero, S., Romano, G. (eds) Trends and Applications of Mathematics to Mechanics. Springer, Milano . https://doi.org/10.1007/88-470-0354-7_12

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  • DOI: https://doi.org/10.1007/88-470-0354-7_12

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-0269-2

  • Online ISBN: 978-88-470-0354-5

  • eBook Packages: EngineeringEngineering (R0)

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