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Long time behaviour of four point velocity correlations in hard disk systems

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  • de Schepper, I.M.
  • Ernst, M.H.

Abstract

An asymptotic long time expansion is derived for the time dependent super Burnett coefficient which is the time derivative of the fourth cumulant of displacement of a tagged particle in a hard disk system or, alternatively, it is the ordered time integral over the cumulant of the four point velocity correlation function. Use has been made of a kinetic theory for hard disk systems. In contrast to classical theories the super Burnett coefficient shows a rather strong divergence, proportional to t. The theoretical prediction is compared with results from molecular dynamics

Suggested Citation

  • de Schepper, I.M. & Ernst, M.H., 1978. "Long time behaviour of four point velocity correlations in hard disk systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 611-631.
    • Handle: RePEc:eee:phsmap:v:93:y:1978:i:3:p:611-631
    DOI: 10.1016/0378-4371(78)90179-6
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    1. Samuel Oppenheim, 1973. "The supreme economic council 1917–21," Europe-Asia Studies, Taylor & Francis Journals, vol. 25(1), pages 3-27.
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