DOI: 10.1007/bf01025983. Geometric properties of random disk packings

Geometric properties of random disk packings

10.1007/bf01025983

Crossref journal-article

Springer Science and Business Media LLC

Journal of Statistical Physics (297)

Bibliography

Lubachevsky, B. D., & Stillinger, F. H. (1990). Geometric properties of random disk packings. Journal of Statistical Physics, 60(5â6), 561â583.

Authors 2

Boris D. Lubachevsky (first)
Frank H. Stillinger (additional)

References 31 Referenced 649

B. J. Alder and T. E. Wainwright,J. Chem. Phys. 31(2):459?466 (1959). (10.1063/1.1730376) / J. Chem. Phys. by B. J. Alder (1959)
H. C. Andersen,J. Chem. Phys. 72:2384 (1980). (10.1063/1.439486) / J. Chem. Phys. by H. C. Andersen (1980)
C. J. Basheet al., IBM's Early Computers (MIT Press, Cambridge, Massachusetts, 1986). / IBM's Early Computers by C. J. Bashe (1986)
C. H. Bennett,J. Appl. Phys. 43:2727 (1972). (10.1063/1.1661585) / J. Appl. Phys. by C. H. Bennett (1972)
J. D. Bernal,Proc. R. Soc. A 280:299 (1964). (10.1098/rspa.1964.0147) / Proc. R. Soc. A by J. D. Bernal (1964)
F. P. Buff and F. H. Stillinger,J. Chem. Phys. 39:1911 (1963). (10.1063/1.1734563) / J. Chem. Phys. by F. P. Buff (1963)
S. Chapman and T. G. Cowling,The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1953), Chapters 5 and 6. / The Mathematical Theory of Non-Uniform Gases by S. Chapman (1953)
K. E. Davis, W. B. Russel, and W. J. Glantschnig,Science 245:507 (1989). (10.1126/science.245.4917.507) / Science by K. E. Davis (1989)
J. J. Erpenbeck and W. W. Wood, Molecular dynamics techniques for hard-core systems, inStatistical Mechanics. Part B:Time-Dependent Processes, B. J. Berne, ed. (Plenum, New York, 1977). / Statistical Mechanics by J. J. Erpenbeck (1977)
J. L. Finney,Nature 266:309 (1977), and references therein. (10.1038/266309a0) / Nature by J. L. Finney (1977)
H. L. Frisch,Adv. Chem. Phys. 6:229 (1964). / Adv. Chem. Phys. by H. L. Frisch (1964)
P. H. Gaskell, inGlassy Metals, Vol. II, H. Beck and H.-J. Güntherodt, eds. (Springer, Berlin, 1983), pp. 5?49. (10.1007/3540127879_24) / Glassy Metals, Vol. II by P. H. Gaskell (1983)
K. Huang and C. N. Yang,Phys. Rev. 105:767 (1957). (10.1103/PhysRev.105.767) / Phys. Rev. by K. Huang (1957)
M. G. Kendall,A Course in the Geometry of n Dimensions (Hafner, New York, 1961), p. 36. / A Course in the Geometry of n Dimensions by M. G. Kendall (1961)
D. E. Knuth,Art of Computer Programming, Vol. 3,Sorting and Searching (Addison-Wesley, 1973).
T. D. Lee, K. Huang, and C. N. Yang,Phys. Rev. 106:1135 (1957). (10.1103/PhysRev.106.1135) / Phys. Rev. by T. D. Lee (1957)
P. W. Leung, C. L. Henley, and G. V. Chester,Phys. Rev. B 39:446 (1989). (10.1103/PhysRevB.39.446) / Phys. Rev. B by P. W. Leung (1989)
B. D. Lubachevsky,J. Comp. Phys. (1990).
G. Mason and W. Clark,Nature 207:512 (1965). (10.1038/207512a0) / Nature by G. Mason (1965)
C. A. Murray and D. H. van Winkle,Phys. Rev. A 34:562 (1986). (10.1103/PhysRevA.34.562) / Phys. Rev. A by C. A. Murray (1986)
D. R. Nelson and B. J. Halperin,Phys. Rev. B 19:2457 (1979). (10.1103/PhysRevB.19.2457) / Phys. Rev. B by D. R. Nelson (1979)
R. Pindak, D. J. Bishop, and W. O. Sprenger,Phys. Rev. Lett. 44:1461 (1980). (10.1103/PhysRevLett.44.1461) / Phys. Rev. Lett. by R. Pindak (1980)
C. A. Rogers,Packing and Covering (Cambridge University Press, Cambridge, 1964), p. 3. / Packing and Covering by C. A. Rogers (1964)
G. D. Scott,Nature 194:957 (1962). (10.1038/194956a0) / Nature by G. D. Scott (1962)
N. J. A. Sloane,Sci. Am. 250(1):116 (1984). (10.1038/scientificamerican0184-116) / Sci. Am. by N. J. A. Sloane (1984)
W. A. Steele,J. Phys. Chem. 69:3446 (1965). (10.1021/j100894a034) / J. Phys. Chem. by W. A. Steele (1965)
F. H. Stillinger, E. A. DiMarzio, and R. L. Kornegay,J. Chem. Phys. 40:1564 (1964). (10.1063/1.1725362) / J. Chem. Phys. by F. H. Stillinger (1964)
F. H. Stillinger and Z. W. Salsburg,J. Stat. Phys. 1:179 (1969). (10.1007/BF01007250) / J. Stat. Phys. by F. H. Stillinger (1969)
F. H. Stillinger and T. A. Weber,J. Chem. Phys. 83:4767 (1985). (10.1063/1.449840) / J. Chem. Phys. by F. H. Stillinger (1985)
J. Vieillard-Baron,J. Chem. Phys. 56:4729 (1972). (10.1063/1.1676946) / J. Chem. Phys. by J. Vieillard-Baron (1972)
M. Widom, K. J. Strandburg, and R. H. Swendsen,Phys. Rev. Lett. 58:706 (1987). (10.1103/PhysRevLett.58.706) / Phys. Rev. Lett. by M. Widom (1987)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 20, 2005, 5:06 a.m.)
Deposited	6 years, 3 months ago (April 27, 2019, 1:59 a.m.)
Indexed	5 hours, 16 minutes ago (Aug. 23, 2025, 9:47 p.m.)
Issued	34 years, 11 months ago (Sept. 1, 1990)
Published	34 years, 11 months ago (Sept. 1, 1990)
Published Print	34 years, 11 months ago (Sept. 1, 1990)

Funders 0

None

BibTeX

@article{Lubachevsky_1990, title={Geometric properties of random disk packings}, volume={60}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/bf01025983}, DOI={10.1007/bf01025983}, number={5–6}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Lubachevsky, Boris D. and Stillinger, Frank H.}, year={1990}, month=sep, pages={561–583} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        24
      ]
    ],
    "date-time": "2025-08-24T01:47:10Z",
    "timestamp": 1756000030037
  },
  "reference-count": 31,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "5-6",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1990,
            9,
            1
          ]
        ],
        "date-time": "1990-09-01T00:00:00Z",
        "timestamp": 652147200000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "http://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1990,
        9
      ]
    ]
  },
  "DOI": "10.1007/bf01025983",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        1,
        20
      ]
    ],
    "date-time": "2005-01-20T10:06:19Z",
    "timestamp": 1106215579000
  },
  "page": "561-583",
  "source": "Crossref",
  "is-referenced-by-count": 649,
  "title": "Geometric properties of random disk packings",
  "prefix": "10.1007",
  "volume": "60",
  "author": [
    {
      "given": "Boris D.",
      "family": "Lubachevsky",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Frank H.",
      "family": "Stillinger",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "297",
  "reference": [
    {
      "issue": "2",
      "key": "CR1",
      "doi-asserted-by": "crossref",
      "first-page": "459",
      "DOI": "10.1063/1.1730376",
      "volume": "31",
      "author": "B. J. Alder",
      "year": "1959",
      "unstructured": "B. J. Alder and T. E. Wainwright,J. Chem. Phys. 31(2):459?466 (1959).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "CR2",
      "doi-asserted-by": "crossref",
      "first-page": "2384",
      "DOI": "10.1063/1.439486",
      "volume": "72",
      "author": "H. C. Andersen",
      "year": "1980",
      "unstructured": "H. C. Andersen,J. Chem. Phys. 72:2384 (1980).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "CR3",
      "volume-title": "IBM's Early Computers",
      "author": "C. J. Bashe",
      "year": "1986",
      "unstructured": "C. J. Basheet al., IBM's Early Computers (MIT Press, Cambridge, Massachusetts, 1986)."
    },
    {
      "key": "CR4",
      "doi-asserted-by": "crossref",
      "first-page": "2727",
      "DOI": "10.1063/1.1661585",
      "volume": "43",
      "author": "C. H. Bennett",
      "year": "1972",
      "unstructured": "C. H. Bennett,J. Appl. Phys. 43:2727 (1972).",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "CR5",
      "doi-asserted-by": "crossref",
      "first-page": "299",
      "DOI": "10.1098/rspa.1964.0147",
      "volume": "280",
      "author": "J. D. Bernal",
      "year": "1964",
      "unstructured": "J. D. Bernal,Proc. R. Soc. A 280:299 (1964).",
      "journal-title": "Proc. R. Soc. A"
    },
    {
      "key": "CR6",
      "doi-asserted-by": "crossref",
      "first-page": "1911",
      "DOI": "10.1063/1.1734563",
      "volume": "39",
      "author": "F. P. Buff",
      "year": "1963",
      "unstructured": "F. P. Buff and F. H. Stillinger,J. Chem. Phys. 39:1911 (1963).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "CR7",
      "volume-title": "The Mathematical Theory of Non-Uniform Gases",
      "author": "S. Chapman",
      "year": "1953",
      "unstructured": "S. Chapman and T. G. Cowling,The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1953), Chapters 5 and 6."
    },
    {
      "key": "CR8",
      "doi-asserted-by": "crossref",
      "first-page": "507",
      "DOI": "10.1126/science.245.4917.507",
      "volume": "245",
      "author": "K. E. Davis",
      "year": "1989",
      "unstructured": "K. E. Davis, W. B. Russel, and W. J. Glantschnig,Science 245:507 (1989).",
      "journal-title": "Science"
    },
    {
      "key": "CR9",
      "volume-title": "Statistical Mechanics",
      "author": "J. J. Erpenbeck",
      "year": "1977",
      "unstructured": "J. J. Erpenbeck and W. W. Wood, Molecular dynamics techniques for hard-core systems, inStatistical Mechanics. Part B:Time-Dependent Processes, B. J. Berne, ed. (Plenum, New York, 1977)."
    },
    {
      "key": "CR10",
      "doi-asserted-by": "crossref",
      "first-page": "309",
      "DOI": "10.1038/266309a0",
      "volume": "266",
      "author": "J. L. Finney",
      "year": "1977",
      "unstructured": "J. L. Finney,Nature 266:309 (1977), and references therein.",
      "journal-title": "Nature"
    },
    {
      "key": "CR11",
      "first-page": "229",
      "volume": "6",
      "author": "H. L. Frisch",
      "year": "1964",
      "unstructured": "H. L. Frisch,Adv. Chem. Phys. 6:229 (1964).",
      "journal-title": "Adv. Chem. Phys."
    },
    {
      "key": "CR12",
      "doi-asserted-by": "crossref",
      "first-page": "5",
      "DOI": "10.1007/3540127879_24",
      "volume-title": "Glassy Metals, Vol. II",
      "author": "P. H. Gaskell",
      "year": "1983",
      "unstructured": "P. H. Gaskell, inGlassy Metals, Vol. II, H. Beck and H.-J. G\u00fcntherodt, eds. (Springer, Berlin, 1983), pp. 5?49."
    },
    {
      "key": "CR13",
      "doi-asserted-by": "crossref",
      "first-page": "767",
      "DOI": "10.1103/PhysRev.105.767",
      "volume": "105",
      "author": "K. Huang",
      "year": "1957",
      "unstructured": "K. Huang and C. N. Yang,Phys. Rev. 105:767 (1957).",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "CR14",
      "first-page": "36.",
      "volume-title": "A Course in the Geometry of n Dimensions",
      "author": "M. G. Kendall",
      "year": "1961",
      "unstructured": "M. G. Kendall,A Course in the Geometry of n Dimensions (Hafner, New York, 1961), p. 36."
    },
    {
      "key": "CR15",
      "unstructured": "D. E. Knuth,Art of Computer Programming, Vol. 3,Sorting and Searching (Addison-Wesley, 1973)."
    },
    {
      "key": "CR16",
      "doi-asserted-by": "crossref",
      "first-page": "1135",
      "DOI": "10.1103/PhysRev.106.1135",
      "volume": "106",
      "author": "T. D. Lee",
      "year": "1957",
      "unstructured": "T. D. Lee, K. Huang, and C. N. Yang,Phys. Rev. 106:1135 (1957).",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "CR17",
      "doi-asserted-by": "crossref",
      "first-page": "446",
      "DOI": "10.1103/PhysRevB.39.446",
      "volume": "39",
      "author": "P. W. Leung",
      "year": "1989",
      "unstructured": "P. W. Leung, C. L. Henley, and G. V. Chester,Phys. Rev. B 39:446 (1989).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR18",
      "unstructured": "B. D. Lubachevsky,J. Comp. Phys. (1990)."
    },
    {
      "key": "CR19",
      "doi-asserted-by": "crossref",
      "first-page": "512",
      "DOI": "10.1038/207512a0",
      "volume": "207",
      "author": "G. Mason",
      "year": "1965",
      "unstructured": "G. Mason and W. Clark,Nature 207:512 (1965).",
      "journal-title": "Nature"
    },
    {
      "key": "CR20",
      "doi-asserted-by": "crossref",
      "first-page": "562",
      "DOI": "10.1103/PhysRevA.34.562",
      "volume": "34",
      "author": "C. A. Murray",
      "year": "1986",
      "unstructured": "C. A. Murray and D. H. van Winkle,Phys. Rev. A 34:562 (1986).",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "CR21",
      "doi-asserted-by": "crossref",
      "first-page": "2457",
      "DOI": "10.1103/PhysRevB.19.2457",
      "volume": "19",
      "author": "D. R. Nelson",
      "year": "1979",
      "unstructured": "D. R. Nelson and B. J. Halperin,Phys. Rev. B 19:2457 (1979).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "CR22",
      "doi-asserted-by": "crossref",
      "first-page": "1461",
      "DOI": "10.1103/PhysRevLett.44.1461",
      "volume": "44",
      "author": "R. Pindak",
      "year": "1980",
      "unstructured": "R. Pindak, D. J. Bishop, and W. O. Sprenger,Phys. Rev. Lett. 44:1461 (1980).",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR23",
      "first-page": "3",
      "volume-title": "Packing and Covering",
      "author": "C. A. Rogers",
      "year": "1964",
      "unstructured": "C. A. Rogers,Packing and Covering (Cambridge University Press, Cambridge, 1964), p. 3."
    },
    {
      "key": "CR24",
      "doi-asserted-by": "crossref",
      "first-page": "957",
      "DOI": "10.1038/194956a0",
      "volume": "194",
      "author": "G. D. Scott",
      "year": "1962",
      "unstructured": "G. D. Scott,Nature 194:957 (1962).",
      "journal-title": "Nature"
    },
    {
      "issue": "1",
      "key": "CR25",
      "doi-asserted-by": "crossref",
      "first-page": "116",
      "DOI": "10.1038/scientificamerican0184-116",
      "volume": "250",
      "author": "N. J. A. Sloane",
      "year": "1984",
      "unstructured": "N. J. A. Sloane,Sci. Am. 250(1):116 (1984).",
      "journal-title": "Sci. Am."
    },
    {
      "key": "CR26",
      "doi-asserted-by": "crossref",
      "first-page": "3446",
      "DOI": "10.1021/j100894a034",
      "volume": "69",
      "author": "W. A. Steele",
      "year": "1965",
      "unstructured": "W. A. Steele,J. Phys. Chem. 69:3446 (1965).",
      "journal-title": "J. Phys. Chem."
    },
    {
      "key": "CR27",
      "doi-asserted-by": "crossref",
      "first-page": "1564",
      "DOI": "10.1063/1.1725362",
      "volume": "40",
      "author": "F. H. Stillinger",
      "year": "1964",
      "unstructured": "F. H. Stillinger, E. A. DiMarzio, and R. L. Kornegay,J. Chem. Phys. 40:1564 (1964).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "CR28",
      "doi-asserted-by": "crossref",
      "first-page": "179",
      "DOI": "10.1007/BF01007250",
      "volume": "1",
      "author": "F. H. Stillinger",
      "year": "1969",
      "unstructured": "F. H. Stillinger and Z. W. Salsburg,J. Stat. Phys. 1:179 (1969).",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "CR29",
      "doi-asserted-by": "crossref",
      "first-page": "4767",
      "DOI": "10.1063/1.449840",
      "volume": "83",
      "author": "F. H. Stillinger",
      "year": "1985",
      "unstructured": "F. H. Stillinger and T. A. Weber,J. Chem. Phys. 83:4767 (1985).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "CR30",
      "doi-asserted-by": "crossref",
      "first-page": "4729",
      "DOI": "10.1063/1.1676946",
      "volume": "56",
      "author": "J. Vieillard-Baron",
      "year": "1972",
      "unstructured": "J. Vieillard-Baron,J. Chem. Phys. 56:4729 (1972).",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "CR31",
      "doi-asserted-by": "crossref",
      "first-page": "706",
      "DOI": "10.1103/PhysRevLett.58.706",
      "volume": "58",
      "author": "M. Widom",
      "year": "1987",
      "unstructured": "M. Widom, K. J. Strandburg, and R. H. Swendsen,Phys. Rev. Lett. 58:706 (1987).",
      "journal-title": "Phys. Rev. Lett."
    }
  ],
  "container-title": "Journal of Statistical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF01025983.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/article/10.1007/BF01025983/fulltext.html",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF01025983",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        4,
        27
      ]
    ],
    "date-time": "2019-04-27T05:59:20Z",
    "timestamp": 1556344760000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "http://link.springer.com/10.1007/BF01025983"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1990,
        9
      ]
    ]
  },
  "references-count": 31,
  "journal-issue": {
    "issue": "5-6",
    "published-print": {
      "date-parts": [
        [
          1990,
          9
        ]
      ]
    }
  },
  "alternative-id": [
    "BF01025983"
  ],
  "URL": "http://dx.doi.org/10.1007/BF01025983",
  "relation": {},
  "ISSN": [
    "0022-4715",
    "1572-9613"
  ],
  "subject": [],
  "container-title-short": "J Stat Phys",
  "published": {
    "date-parts": [
      [
        1990,
        9
      ]
    ]
  }
}