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Technometrics Volume 16, 1974 - Issue 2
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Original Articles

Random Packing of Particles: Simulation With a One Dimensional Parking Model

Aaron S. Goldman Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico
,
Homer D. Lewis Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico
&
Willliam M. Visscher Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico
Pages 301-309 | Published online: 09 Apr 2012

References

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  • Blum , E. H. 1964 . Statistical Geometric Approach to the Random Packing of Spheres , Ph.D. Dissertation Ann Arbor , Mich. : Princeton University, Univ. Microfilms. .
  • Dexter , A. R. and Tanner , D. W. 1972 . Packing Densities of Mixtures of Spheres with Log-normal Size Distributions . Nature Phys. Sc. , 238 : 31 – 32 .
  • Dvoretzky , A. and Robbins , H. 1964 . On the “Parking” Problem . Publ. Math. Inst. Hung. Acad. Sci. , 9 : 209 – 224 .
  • Lewis , H. D. and Goldman , A. S. 1966 . Theorems for Calculation of Weight Ratios of Produce Maximum Packing Density of Powder Mixtures . J. Amer. Cer. Soc. , 49 : 323 – 327 .
  • Mannion , D. 1964 . Random Space Filling in One Dimension . Publ. Math. Inst. Hung. Acad. Sci. , 9 : 143 – 154 .
  • McGeary , R. K. 1961 . Mechanical Packing of Spherical Particles . J. Amer. Cer. Soc. , 44 : 513
  • Ney , P. E. 1960 . Some Contributions to the Theory of Cascades , Ph.D. Thesis Columbia University. .
  • Ney , P. E. 1962 . A Random Interval Filling Problem . Ann. Math. Stat. , 33 : 702 – 718 .
  • Norman , L. D. , Maust , E. and Skolnick , L. 1971 . Computer Simulation of Particulate Systems U. S. Dept. Interior, Bureau of Mines. . Bulletin 658
  • Palasti , I. 1960 . On Some Random Space Filling Problems . Publ. Math. Inst. Hung. Acad. Sci. , 5 : 353 – 359 .
  • Renyi , A. 1958 . On a One Dimensional Problem Concerning Space Filling . Publ. Math. Inst. Hung. Acad. Sci. , 3 : 109 – 127 .
  • Scott , G. D. and Kilgour , D. M. 1969 . The Density of Random Close Packing of Spheres . Brit. J. Appl. Phys. (J. Phys. D.) , 2 : 863 – 866 .
  • Sohn , H. Y. and Moreland , C. 1968 . The Effect of Particle Size Distribution on Packing Density . Can. J. Chem. Eng. , 46 : 162 – 167 .
  • Soloman , H. Random Packing Density . Proc. Fifth Berkeley Symp. on Math. Stat. and Prob. Vol. 3 , pp. 119 – 134 . Univ. Calif. Press. .
  • Visscher , W. M. and Bolsterli , M. 1972 . Random Packing of Equal and Unequal Spheres in Two and Three Dimensions. Los Alamos Scientific Laboratory Report LADC-72–745 . Nature , 239 : 504 – 507 .
  • Wise , M. E. 1952 . Dense Random Packing of Unequal Spheres . Philips Res. Repts. , 7 : 321 – 43 .

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