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Long time expansion of two-dimensional correlation functions

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  • De Schepper, I.M.
  • Ernst, M.H.

Abstract

We show that the long time behaviour of the velocity correlation function in a two-dimensional classical system with pairwise repulsive potentials can be represented by a series expansion of the form 〈υ1xυ1x(t)〉 = d0t−1 + d1t−1log t/t0 + d2t−1(log t/t0)2 + …, where t0 is mean free time between collisions. To lowest order in the density an exact expression has been obtained for d1 employing the kinetic theory ofsystems with hard-core interactions. The significance of the series is discussed at low and intermediate densities.

Suggested Citation

  • De Schepper, I.M. & Ernst, M.H., 1977. "Long time expansion of two-dimensional correlation functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(1), pages 35-62.
    • Handle: RePEc:eee:phsmap:v:87:y:1977:i:1:p:35-62
    DOI: 10.1016/0378-4371(77)90167-4
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