Direct Simulation Scheme Derived from the Boltzmann Equation. IV. Correlation of Velocity
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- Nanbu Kenichi
- Institute of High Speed Mechanics, Tohoku University
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説明
The collision process described in the first paper of this series is written in the form of the stochastic difference equation for a molecular velocity. By using this stochastic equation the correlation of velocity between a molecule and its collision partner is examined. It is shown that the correlation grows stronger as τ⁄N increases, where τ is the time and N is the number of simulated molecules. The assumption of molecular chaos requires a negligibly small correlation, so that the condition τ⁄N<<1 is necessary for solutions of the stochastic difference equation to agree with solutions of the Boltzmann equation.<BR>Also, the correlation coefficients of the velocities at two time points are obtained. Suppose that N>>1 and τ⁄N<<1. If these velocities belong to a single molecule, the coefficient is exp (−θη)+O(N−1), and if they belong to different molecules, the coefficient is of O(N−1), where θ is a constant and η is the interval between the time points.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 50 (9), 2829-2836, 1981
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679159499136
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- NII論文ID
- 210000089601
- 130003897114
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- BIBCODE
- 1981JPSJ...50.2829N
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- COI
- 1:CAS:528:DyaL3MXlslKjtrY%3D
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- ISSN
- 13474073
- 00319015
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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