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Non-markovian diffusion in idealized Lorentz gases

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References

  1. Cohen, E. G. D., Fundamental Problems in Statistical Mechanics II. p. 228. Amsterdam: North Holland 1968.

    Google Scholar 

  2. Hauge, E., & E. G. D. Cohen, J. Math. Phys. 10, 397 (1969).

    Google Scholar 

  3. Gallavotti, G., Phys. Rev. 185, 308 (1969).

    Google Scholar 

  4. Wood, W. W., & F. Lado, J. Comput. Phys. 7, 528 (1971).

    Google Scholar 

  5. Gates, D. J., J. Math. Phys. 13, 1005 (1972).

    Google Scholar 

  6. Landau, E., Vorlesungen über Zahlentheorie. Part II, p. 170. New York: Chelsea Publishing Co.

  7. Chandrasekharan, K., Introduction to Analytic Number Theory, p. 56, New York: Springer 1968.

    Google Scholar 

  8. This argument is due to J. L. Lebowitz and C. J. Thompson, for the case k=1.

  9. Lewin, L., Dilogarithms and Associated Functions. London: MacDonald 1958.

    Google Scholar 

  10. Griffiths, R. B., J. Math. Phys. 8, 478 and 484 (1967).

    Google Scholar 

  11. Sinai, Ya., Russ. Math. Surv. 25, 137 (1970).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Melbourne, Australia

    D. J. Gates, I. Gerst & M. Kac

  2. Applied Mathematics and Statistics Department, S.U.N.Y. at Stony Brook, New York

    D. J. Gates, I. Gerst & M. Kac

  3. Mathematics Department, The Rockefeller University, New York

    D. J. Gates, I. Gerst & M. Kac

Authors
  1. D. J. Gates
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  2. I. Gerst
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  3. M. Kac
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Gates, D.J., Gerst, I. & Kac, M. Non-markovian diffusion in idealized Lorentz gases. Arch. Rational Mech. Anal. 51, 106–135 (1973). https://doi.org/10.1007/BF00247750

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