Long-time behavior of the angular velocity autocorrelation function for a fluid of rough spheres

G. Subramanian; David G Levitt; H. T. Davis

doi:10.1007/BF01012806

Long-time behavior of the angular velocity autocorrelation function for a fluid of rough spheres

G. Subramanian, David G Levitt, H. T. Davis

Integrative Biology and Physiology

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Abstract

According to hydrodynamical and mode-coupling theories, the angular velocity autocorrelation function decays at long times as ν₀(t/10^-14 sec)^-5/2. For rough spheres under the conditions reported here, the quantity ν₀ is predicted to be 262. The molecular dynamics studies presented here yield a long-time tail of the form 230(t/10^-14 sec)^-2.38. The disagreement between theory and computer results probably arises from statistical error intrinsic to the computations.

Original language	English (US)
Pages (from-to)	1-6
Number of pages	6
Journal	Journal of Statistical Physics
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/BF01012806
State	Published - Jul 1976

Keywords

Molecular dynamics
angular velocity autocorrelation function
computer simulation
long-time behavior
rough sphere model fluid

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10.1007/BF01012806

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abstract = "According to hydrodynamical and mode-coupling theories, the angular velocity autocorrelation function decays at long times as ν0(t/10-14 sec)-5/2. For rough spheres under the conditions reported here, the quantity ν0 is predicted to be 262. The molecular dynamics studies presented here yield a long-time tail of the form 230(t/10-14 sec)-2.38. The disagreement between theory and computer results probably arises from statistical error intrinsic to the computations.",

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AU - Levitt, David G

AU - Davis, H. T.

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N2 - According to hydrodynamical and mode-coupling theories, the angular velocity autocorrelation function decays at long times as ν0(t/10-14 sec)-5/2. For rough spheres under the conditions reported here, the quantity ν0 is predicted to be 262. The molecular dynamics studies presented here yield a long-time tail of the form 230(t/10-14 sec)-2.38. The disagreement between theory and computer results probably arises from statistical error intrinsic to the computations.

AB - According to hydrodynamical and mode-coupling theories, the angular velocity autocorrelation function decays at long times as ν0(t/10-14 sec)-5/2. For rough spheres under the conditions reported here, the quantity ν0 is predicted to be 262. The molecular dynamics studies presented here yield a long-time tail of the form 230(t/10-14 sec)-2.38. The disagreement between theory and computer results probably arises from statistical error intrinsic to the computations.

KW - Molecular dynamics

KW - angular velocity autocorrelation function

KW - computer simulation

KW - long-time behavior

KW - rough sphere model fluid

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Long-time behavior of the angular velocity autocorrelation function for a fluid of rough spheres

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