Computer simulations of nearest-neighbor distribution functions and related quantities for hard-sphere systems

S. Torquato; Sang Bub Lee

doi:10.1016/0378-4371(90)90121-8

Computer simulations of nearest-neighbor distribution functions and related quantities for hard-sphere systems

S. Torquato, Sang Bub Lee

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

One of the fundamental quantities which statistically characterizes a random system of interacting particles is the nearest-neighbor distribution function. We present computer-simulation results for two different types of nearest-neighbor distribution functions for random distributions of identical impenetrable (hard) spheres. We also report, for such systems, computer-simulation data for closely related quantities such as the associated cumulative distributions. From this information, we calculate the "mean nearest-neighbor distance" between particles. Our computer-simulation results are compared to the various sets of theoretical expressions derived recently by Torquato, Lu and Rubinstein. One of these sets of expressions is shown to be in excellent agreement with the simulation data.

Original language	English (US)
Pages (from-to)	361-383
Number of pages	23
Journal	Physica A: Statistical Mechanics and its Applications
Volume	167
Issue number	2
DOIs	https://doi.org/10.1016/0378-4371(90)90121-8
State	Published - Aug 15 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability

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10.1016/0378-4371(90)90121-8

Cite this

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title = "Computer simulations of nearest-neighbor distribution functions and related quantities for hard-sphere systems",

abstract = "One of the fundamental quantities which statistically characterizes a random system of interacting particles is the nearest-neighbor distribution function. We present computer-simulation results for two different types of nearest-neighbor distribution functions for random distributions of identical impenetrable (hard) spheres. We also report, for such systems, computer-simulation data for closely related quantities such as the associated cumulative distributions. From this information, we calculate the {"}mean nearest-neighbor distance{"} between particles. Our computer-simulation results are compared to the various sets of theoretical expressions derived recently by Torquato, Lu and Rubinstein. One of these sets of expressions is shown to be in excellent agreement with the simulation data.",

author = "S. Torquato and Lee, {Sang Bub}",

note = "Funding Information: The authors would like to thank Binglin Lu for many valuable discussions. The authors also gratefully acknowledge the support of the Office of Basic Energy Sciences, U.S. Department of Energy, under Grant No. DE-FG05-86ER13842.",

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doi = "10.1016/0378-4371(90)90121-8",

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T1 - Computer simulations of nearest-neighbor distribution functions and related quantities for hard-sphere systems

AU - Torquato, S.

AU - Lee, Sang Bub

N1 - Funding Information: The authors would like to thank Binglin Lu for many valuable discussions. The authors also gratefully acknowledge the support of the Office of Basic Energy Sciences, U.S. Department of Energy, under Grant No. DE-FG05-86ER13842.

PY - 1990/8/15

Y1 - 1990/8/15

N2 - One of the fundamental quantities which statistically characterizes a random system of interacting particles is the nearest-neighbor distribution function. We present computer-simulation results for two different types of nearest-neighbor distribution functions for random distributions of identical impenetrable (hard) spheres. We also report, for such systems, computer-simulation data for closely related quantities such as the associated cumulative distributions. From this information, we calculate the "mean nearest-neighbor distance" between particles. Our computer-simulation results are compared to the various sets of theoretical expressions derived recently by Torquato, Lu and Rubinstein. One of these sets of expressions is shown to be in excellent agreement with the simulation data.

AB - One of the fundamental quantities which statistically characterizes a random system of interacting particles is the nearest-neighbor distribution function. We present computer-simulation results for two different types of nearest-neighbor distribution functions for random distributions of identical impenetrable (hard) spheres. We also report, for such systems, computer-simulation data for closely related quantities such as the associated cumulative distributions. From this information, we calculate the "mean nearest-neighbor distance" between particles. Our computer-simulation results are compared to the various sets of theoretical expressions derived recently by Torquato, Lu and Rubinstein. One of these sets of expressions is shown to be in excellent agreement with the simulation data.

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

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ER -

Computer simulations of nearest-neighbor distribution functions and related quantities for hard-sphere systems

Abstract

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