Velocity Autocorrelation Function in a Four-Dimensional Lattice Gas
M. A. Van Der Hoef; M. Dijkstra; D. Frenkel; M. A. Van Der Hoef; F.O.M.-Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands; M. Dijkstra; F.O.M.-Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands; D. Frenkel; F.O.M.-Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
Журнал:
EPL (Europhysics Letters)
Дата:
1992-01-01
Аннотация:
We report simulations of the velocity autocorrelation function (VACF) of a tagged particle in a four-dimensional lattice gas cellular automaton (LGCA). We observe a hydrodynamic tail in the VACF, which decays as t<sup>-2</sup>, in agreement with the theoretical predictions. However, in a quantitative comparison, the simulations show that mode-coupling theory underestimates the amplitude of the hydrodynamic tail by (15 ÷ 60)%. The artificial correlations, previously observed in the projected three-dimensional lattice gas model, are found to be absent in this truly 4D model.
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