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

I.M. de Schepper and M.H. Ernst

Physica A: Statistical Mechanics and its Applications, 1978, vol. 93, issue 3, 611-631

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

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:93:y:1978:i:3:p:611-631

DOI: 10.1016/0378-4371(78)90179-6

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