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Time correlation functions of a one-dimensional infinite system

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Abstract

We investigate the time evolution of a simple one-dimensional system with an infinite number of particles. We calculate some time correlation functions and show that they behave asymptotically as 1/√t.

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References

  1. J. Hardy, Y. Pomeau, and O. de Pazzis,J. Math. Phys. 14:1746 (1973).

    Google Scholar 

  2. T. Niwa,J. Math. Kyoto Univ. 16:209 (1976).

    Google Scholar 

  3. Ya. G. Sinai and K. Volkovyssky,Funct. Anal. Appl. 5:19 (1971).

    Google Scholar 

  4. Ya. G. Sinai,Funct. Anal. Appl. 6:41 (1972).

    Google Scholar 

  5. O. de Pazzis,Comm. Math. Phys. 22:121 (1971).

    Google Scholar 

  6. O. E. Lanford III,Acta Phys. Austriaca, Suppl. X1973:619.

    Google Scholar 

  7. E. D. Pepper,Ann. Math. 28:318 (1927).

    Google Scholar 

  8. R. L. Dobrushin,Izv. Akad. Nauk SSSR 17:291 (1953).

    Google Scholar 

  9. V. I. Arnold and A. Avez,Problèmes ergodiques de la mécanique classique (Paris: Gauthiers-Villars, 1967).

    Google Scholar 

  10. W. Feller,An Introduction to Probability Theory and Its Applications (Wiley, New-York, 1958), Vol. I.

    Google Scholar 

  11. V. A. Rohlin,Uspekhi Mat. Nauk 22:3 (1967).

    Google Scholar 

  12. M. Aizenman, S. Goldstein, and J. L. Lebowitz, inDynamical Systems Theory and Applications (Lecture Notes in Physics 38) (Springer, Berlin, 1975).

    Google Scholar 

  13. Dao-Quang-Tuyen and D. Szász,Z. Wahr. verw. Gebiete 31:75 (1974).

    Google Scholar 

  14. D. Szász, Particle Systems with Collisions, Preprint of Math. Inst. Hungarian Academy of Sciences, 26 (1975).

  15. M. Aizenman, S. Goldstein, and J. L. Lebowitz,Comm. Math. Phys. 39:289 (1975).

    Google Scholar 

  16. M. Aizenman, Thesis, Yeshiva Univ. (1975).

  17. O. W. Jepsen,J. Math. Phys. 6:405 (1965).

    Google Scholar 

  18. J. L. Lebowitz and J. K. Percus,Phys. Rev. 155:122 (1967).

    Google Scholar 

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Niwa, T. Time correlation functions of a one-dimensional infinite system. J Stat Phys 18, 309–317 (1978). https://doi.org/10.1007/BF01018096

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  • DOI: https://doi.org/10.1007/BF01018096

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