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Part of the book series: Mathematics and Its Applications ((MAIA,volume 33))

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Abstract

The model of coupled random walk is used for the description of correlated Brownian motion with anisotropic scattering. We have analyzed a non-Markovian behavior of a correlated Lorentz-gas model in the framework of the coupled CTRW theory by means of its associated coupled generalized master equation, using a mode-dependent exponential waiting-time.

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References

  1. C.W. Gardiner, in Handbook of Stochastic Methods (Springer Verlag 1983)

    Google Scholar 

  2. I. Oppenheim, K. Shuler and G. Weiss, The Master Equation (M.I.T. University Press, 1977).

    Google Scholar 

  3. I. Prigogine and P. Resibois, Physica 27, 629 (1961).

    Article  MathSciNet  Google Scholar 

  4. E.W. Montroll, Fundamental problems in statistical mechanics, ed. E.D.G. Cohen, (North-Holland, Amsterdam, 1962).

    Google Scholar 

  5. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  6. R. Zwanzig, Physica 30, 1109 (1964).

    Article  MathSciNet  Google Scholar 

  7. V.M. Kenkre, E.W. Montroll and M.F. Shlesinger, J. Stat. Phys. 9, 45 (1973).

    Article  Google Scholar 

  8. D. Bedeaux and K. Lakatos-Lindenber and K.E. Shuler, J. Math. Phys. 2, 2116 (1971).

    Article  Google Scholar 

  9. V. Landam, E.W. Montroll and M.F. Shlesinger, Proc. Natl. Acad. Sci. USA 74, 430 (1977).

    Article  Google Scholar 

  10. M.O. Caceres and H.S. Wio, Z. Phys. B54, 175 (1984).

    Article  Google Scholar 

  11. M.O. Caceres, Phys. Rev. A 00,00 (1986).

    Google Scholar 

  12. E.W. Montroll and B.J. West, Fluctuation Phenomena, ed. E.W. Montroll and J.L. Lebowitz (North-Holland, Amsterdam, 1979).

    Google Scholar 

  13. M.O. Caceres and H.S. Wio, Z. Phys. B58, 329 (1985).

    Article  Google Scholar 

  14. P. Grassberger, Physica 103A, 558 (1980).

    MathSciNet  Google Scholar 

  15. H. Takayasu and K. Hiramatsy, Phys. Rev. Lett. 53, 633 (1984).

    Article  MathSciNet  Google Scholar 

  16. H.S. Wio and M.O. Caceres, Phys. Lett. 100A, 279 (1984).

    Google Scholar 

  17. S. Goldstein, J. Mech. Appl. Math. 4, 129 (1950).

    Article  Google Scholar 

  18. G.H. Weiss and R.J. Rubin, Adv. Chem. Phys. 52, 363 (1983).

    Article  Google Scholar 

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© 1987 D. Reidel Publishing Company

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Cáceres, M.O. (1987). A Non-Markovian Lorentz Gas Model. In: Tirapegui, E., Villarroel, D. (eds) Instabilities and Nonequilibrium Structures. Mathematics and Its Applications, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3783-3_17

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  • DOI: https://doi.org/10.1007/978-94-009-3783-3_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8183-2

  • Online ISBN: 978-94-009-3783-3

  • eBook Packages: Springer Book Archive

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