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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J. Hardy, Y. Pomeau, and O. de Pazzis,J. Math. Phys. 14:1746 (1973).
T. Niwa,J. Math. Kyoto Univ. 16:209 (1976).
Ya. G. Sinai and K. Volkovyssky,Funct. Anal. Appl. 5:19 (1971).
Ya. G. Sinai,Funct. Anal. Appl. 6:41 (1972).
O. de Pazzis,Comm. Math. Phys. 22:121 (1971).
O. E. Lanford III,Acta Phys. Austriaca, Suppl. X1973:619.
E. D. Pepper,Ann. Math. 28:318 (1927).
R. L. Dobrushin,Izv. Akad. Nauk SSSR 17:291 (1953).
V. I. Arnold and A. Avez,Problèmes ergodiques de la mécanique classique (Paris: Gauthiers-Villars, 1967).
W. Feller,An Introduction to Probability Theory and Its Applications (Wiley, New-York, 1958), Vol. I.
V. A. Rohlin,Uspekhi Mat. Nauk 22:3 (1967).
M. Aizenman, S. Goldstein, and J. L. Lebowitz, inDynamical Systems Theory and Applications (Lecture Notes in Physics 38) (Springer, Berlin, 1975).
Dao-Quang-Tuyen and D. Szász,Z. Wahr. verw. Gebiete 31:75 (1974).
D. Szász, Particle Systems with Collisions, Preprint of Math. Inst. Hungarian Academy of Sciences, 26 (1975).
M. Aizenman, S. Goldstein, and J. L. Lebowitz,Comm. Math. Phys. 39:289 (1975).
M. Aizenman, Thesis, Yeshiva Univ. (1975).
O. W. Jepsen,J. Math. Phys. 6:405 (1965).
J. L. Lebowitz and J. K. Percus,Phys. Rev. 155:122 (1967).
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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