Alder and Wainwright discovered the slow power decay approximately t;{-d/2} ( d is dimension) of the velocity autocorrelation function in moderately dense hard-sphere fluids using the event-driven molecular dynamics simulations. In the two-dimensional (2D) case, the diffusion coefficient derived using the time correlation expression in linear response theory shows logarithmic divergence, which is called the "2D long-time-tail problem." We reexamined this problem to perform a large-scale, long-time simulation with 1x10;{6} hard disks using a modern efficient algorithm and found that the decay of the long tail in moderately dense fluids is slightly faster than the power decay ( approximately 1/t) . We also compared our numerical data with the prediction of the self-consistent mode-coupling theory in the long-time limit [ approximately 1/(tsqrt[ln t])] .
Long-time tail of the velocity autocorrelation function in a two-dimensional moderately dense hard-disk fluid. Publishing Authors By Initials
Long-time tail of the velocity autocorrelation function in a two-dimensional moderately dense hard-disk fluid. Journal Published:
PUBLICATION TYPE: Journal Article
Journal: Physical review. E, Statistical, nonlinear, and so
VOLUME: 77
Page Numbers: 021201
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ISSN: 1539-3755
DAY: 7
MONTH: 02
YEAR: 2008
Long-time tail of the velocity autocorrelation function in a two-dimensional moderately dense hard-disk fluid. Information
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LANGUAGE: eng
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Grant and Affiliation Information for Long-time tail of the velocity autocorrelation function in a two-dimensional moderately dense hard-disk fluid.
AFFILIATION: Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan.
Country: United States
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MEDLINETA: Phys Rev E Stat Nonlin Soft Ma
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