Long Memory Effects in the Stress Correlation Function

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Abstract
The stress correlation function (SCF) in a one-dimensional cellular automata-fluid is calculated by computer simulations upto 3000 time steps. The results are compared with the 1-D tails t −1/2 and t −2/3 of bare (BMC) and self-consistent (SCMC) mode coupling theories. The crossover between both tails is estimated to occur after t cross ≃ 35000 time steps. For t < 400 and systems with L ≥ 500 sites there is good agreement with BMC-theory for finite systems. For t > 400 there are signs of faster-than-1/√t-decay in the SCF. The simulated data for the “divergent” transport coefficient at times t > 400 are analyzed in terms of a crossover function, constructed from SCMC-theory. However a quantitative verification of the SCMC-theory is still out of reach.