DOI: 10.1063/1.459711. Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network

Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network

10.1063/1.459711

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The mutual arrangement of the Delaunay simplices (configurations of four nearest atoms) has been studied for molecular dynamic (MD) models of liquid and quenched rubidium obtained by M. Tanaka [J. Phys. Soc. Jpn. 55, 3108 (1986)]. The Delaunay simplices with large circumradii and low local density of atoms, the simplices with small circumradii representing dense atomic configurations, and the simplices close in shape to perfect tetrahedron representing ‘‘rigid’’ arrangements of atomic quadruplets were delineated. The Delaunay simplices form clusters; consideration of the latter constitutes a site percolation problem on the Voronoi network [N. N. Medvedev, V. P. Voloshin, and Yu. I. Naberukhin, J. Phys. A: Math. Gen. 21, L247 (1986)]. Analysis of the MD results in these terms shows that low density atomic configurations in the liquid phase form a percolative cluster. Such a cluster does not occur in a solid phase. On the contrary, there is a percolative cluster in the solid sample, but formed by high density configurations which are nearly tetrahedral.

Bibliography

Medvedev, N. N., Geiger, A., & Brostow, W. (1990). Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network. The Journal of Chemical Physics, 93(11), 8337â8342.

Authors 3

Nikolai N. Medvedev (first)
Alfons Geiger (additional)
Witold Brostow (additional)

References 46 Referenced 63

{'key': '2024021010355672900_r1'}
{'key': '2024021010355672900_r2'}
{'key': '2024021010355672900_r2a'}
10.1063/1.452499 / J. Chem. Phys. (1987)
10.1073/pnas.84.14.4709 / Proc. Natl. Acad. Sci. USA (1987)
10.1098/rspa.1964.0147 / Proc. R. Soc. London Ser. A (1964)
10.1016/0001-6160(82)90194-8 / Acta Metall. (1982)
10.1088/0305-4608/14/3/004 / J. Phys. F. (1984)
10.1103/PhysRevB.28.784 / Phys. Rev. B (1983)
{'key': '2024021010355672900_r9', 'first-page': '1335', 'volume': '23', 'year': '1987', 'journal-title': 'Faraday Trans.'} / Faraday Trans. (1987)
10.1016/0254-0584(87)90037-X / Mater. Chem. Phys. (1987)
10.1016/0254-0584(87)90067-8 / Mater. Chem. Phys. (1987)
{'key': '2024021010355672900_r12', 'first-page': '199', 'volume': '134', 'year': '1908', 'journal-title': 'Z. Reine Angew. Math.'} / Z. Reine Angew. Math. (1908)
10.1016/0021-9991(78)90110-9 / J. Comp. Phys. (1978)
10.1098/rspa.1970.0189 / Proc. R. Soc. London Ser. A (1970)
10.1016/0254-0584(86)90097-0 / Mater. Chem. Phys. (1986)
10.1063/1.437316 / J. Chem. Phys.
10.1063/1.438311 / J. Chem. Phys. (1979)
10.1063/1.442299 / J. Chem. Phys. (1981)
10.1143/JPSJ.55.3108 / J. Phys. Soc. Jpn. (1986)
10.1063/1.450427 / J. Chem. Phys. (1986)
10.1063/1.452801 / J. Chem. Phys. (1987)
10.1063/1.443540 / J. Chem. Phys. (1982)
10.1063/1.444208 / J. Chem. Phys. (1982)
10.1063/1.443827 / J. Chem. Phys. (1982)
10.1063/1.444833 / J. Chem. Phys. (1983)
10.1002/bip.360270212 / Biopolymers (1988)
10.1063/1.447607 / J. Chem. Phys. (1984)
10.1016/S0022-3093(87)80074-1 / J. Non-Cryst. Solids. (1987)
{'key': '2024021010355672900_r27a', 'first-page': '1104', 'volume': '288', 'year': '1986', 'journal-title': 'Doklady Akad. Nauk SSSR'} / Doklady Akad. Nauk SSSR (1986)
{'key': '2024021010355672900_r28', 'first-page': 'L247', 'volume': '21', 'year': '1986', 'journal-title': 'J. Phys. A'} / J. Phys. A (1986)
10.1016/0021-9991(86)90123-3 / J. Comp. Phys. (1986)
10.1016/0254-0584(88)90080-6 / Mater. Chem. Phys. (1988)
{'issue': '3', 'key': '2024021010355672900_r31', 'first-page': '117', 'year': '1987', 'journal-title': 'Zh. Strukt. Khim.'} / Zh. Strukt. Khim. (1987)
{'key': '2024021010355672900_r32'}
{'key': '2024021010355672900_r32a'}
10.1143/JPSJ.51.3802 / J. Phys. Soc. Jpn. (1982)
10.1143/JPSJ.52.1270 / J. Phys. Soc. Jpn. (1983)
10.1080/08927028908022364 / Mol. Simul. (1989)
{'issue': '2', 'key': '2024021010355672900_r36', 'first-page': '62', 'volume': '28', 'year': '1987', 'journal-title': 'Zh. Strukt. Khim.'} / Zh. Strukt. Khim. (1987)
{'issue': '4', 'key': '2024021010355672900_r37', 'first-page': '91', 'volume': '27', 'year': '1986', 'journal-title': 'Zh. Strukt. Khim.'} / Zh. Strukt. Khim. (1986)
10.1016/0032-3861(80)90141-X / Polymer (1980)
10.1021/ja01087a002 / J. Am. Chem. Soc. (1965)
10.1039/df9704900007 / Discuss. Faraday Soc. (1970)
10.1021/ma60010a005 / Macromolecules (1969)
10.1021/ja00291a006 / J. Am. Chem. Soc. (1985)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:19 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 7:23 a.m.)
Indexed	1 year, 1 month ago (July 25, 2024, 7:36 p.m.)
Issued	34 years, 8 months ago (Dec. 1, 1990)
Published	34 years, 8 months ago (Dec. 1, 1990)
Published Print	34 years, 8 months ago (Dec. 1, 1990)

Funders 0

None

BibTeX

@article{Medvedev_1990, title={Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network}, volume={93}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.459711}, DOI={10.1063/1.459711}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Medvedev, Nikolai N. and Geiger, Alfons and Brostow, Witold}, year={1990}, month=dec, pages={8337–8342} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        7,
        25
      ]
    ],
    "date-time": "2024-07-25T23:36:42Z",
    "timestamp": 1721950602447
  },
  "reference-count": 46,
  "publisher": "AIP Publishing",
  "issue": "11",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1990,
        12,
        1
      ]
    ]
  },
  "abstract": "<jats:p>The mutual arrangement of the Delaunay simplices (configurations of four nearest atoms) has been studied for molecular dynamic (MD) models of liquid and quenched rubidium obtained by M. Tanaka [J. Phys. Soc. Jpn. 55, 3108 (1986)]. The Delaunay simplices with large circumradii and low local density of atoms, the simplices with small circumradii representing dense atomic configurations, and the simplices close in shape to perfect tetrahedron representing \u2018\u2018rigid\u2019\u2019 arrangements of atomic quadruplets were delineated. The Delaunay simplices form clusters; consideration of the latter constitutes a site percolation problem on the Voronoi network [N. N. Medvedev, V. P. Voloshin, and Yu. I. Naberukhin, J. Phys. A: Math. Gen. 21, L247 (1986)]. Analysis of the MD results in these terms shows that low density atomic configurations in the liquid phase form a percolative cluster. Such a cluster does not occur in a solid phase. On the contrary, there is a percolative cluster in the solid sample, but formed by high density configurations which are nearly tetrahedral.</jats:p>",
  "DOI": "10.1063/1.459711",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T13:19:38Z",
    "timestamp": 1027689578000
  },
  "page": "8337-8342",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 63,
  "title": "Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network",
  "prefix": "10.1063",
  "volume": "93",
  "author": [
    {
      "given": "Nikolai N.",
      "family": "Medvedev",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Center for Materials Characterization and Department of Physics, University of North Texas, Denton, Texas 76203-5308"
        },
        {
          "name": "Physikalische Chemie, Universit\u00e4t Dortmund, Postfach 500500, 4600 Dortmund 50, Federal Republic of Germany"
        }
      ]
    },
    {
      "given": "Alfons",
      "family": "Geiger",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Physikalische Chemie, Universit\u00e4t Dortmund, Postfach 500500, 4600 Dortmund 50, Federal Republic of Germany"
        }
      ]
    },
    {
      "given": "Witold",
      "family": "Brostow",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Center for Materials Characterization and Department of Physics, University of North Texas, Denton, Texas 76203-5308"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024021010355672900_r1"
    },
    {
      "key": "2024021010355672900_r2"
    },
    {
      "key": "2024021010355672900_r2a"
    },
    {
      "key": "2024021010355672900_r3",
      "doi-asserted-by": "crossref",
      "first-page": "5731",
      "DOI": "10.1063/1.452499",
      "volume": "86",
      "year": "1987",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r4",
      "doi-asserted-by": "crossref",
      "first-page": "4709",
      "DOI": "10.1073/pnas.84.14.4709",
      "volume": "84",
      "year": "1987",
      "journal-title": "Proc. Natl. Acad. Sci. USA"
    },
    {
      "key": "2024021010355672900_r5",
      "doi-asserted-by": "crossref",
      "first-page": "299",
      "DOI": "10.1098/rspa.1964.0147",
      "volume": "280",
      "year": "1964",
      "journal-title": "Proc. R. Soc. London Ser. A"
    },
    {
      "key": "2024021010355672900_r6",
      "doi-asserted-by": "crossref",
      "first-page": "889",
      "DOI": "10.1016/0001-6160(82)90194-8",
      "volume": "30",
      "year": "1982",
      "journal-title": "Acta Metall."
    },
    {
      "key": "2024021010355672900_r7",
      "doi-asserted-by": "crossref",
      "first-page": "579",
      "DOI": "10.1088/0305-4608/14/3/004",
      "volume": "14",
      "year": "1984",
      "journal-title": "J. Phys. F."
    },
    {
      "key": "2024021010355672900_r8",
      "doi-asserted-by": "crossref",
      "first-page": "784",
      "DOI": "10.1103/PhysRevB.28.784",
      "volume": "28",
      "year": "1983",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024021010355672900_r9",
      "first-page": "1335",
      "volume": "23",
      "year": "1987",
      "journal-title": "Faraday Trans."
    },
    {
      "key": "2024021010355672900_r10",
      "doi-asserted-by": "crossref",
      "first-page": "53",
      "DOI": "10.1016/0254-0584(87)90037-X",
      "volume": "16",
      "year": "1987",
      "journal-title": "Mater. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r11",
      "doi-asserted-by": "crossref",
      "first-page": "467",
      "DOI": "10.1016/0254-0584(87)90067-8",
      "volume": "16",
      "year": "1987",
      "journal-title": "Mater. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r12",
      "first-page": "199",
      "volume": "134",
      "year": "1908",
      "journal-title": "Z. Reine Angew. Math."
    },
    {
      "key": "2024021010355672900_r13",
      "doi-asserted-by": "crossref",
      "first-page": "81",
      "DOI": "10.1016/0021-9991(78)90110-9",
      "volume": "29",
      "year": "1978",
      "journal-title": "J. Comp. Phys."
    },
    {
      "key": "2024021010355672900_r14",
      "doi-asserted-by": "crossref",
      "first-page": "479",
      "DOI": "10.1098/rspa.1970.0189",
      "volume": "319",
      "year": "1970",
      "journal-title": "Proc. R. Soc. London Ser. A"
    },
    {
      "key": "2024021010355672900_r15",
      "doi-asserted-by": "crossref",
      "first-page": "533",
      "DOI": "10.1016/0254-0584(86)90097-0",
      "volume": "14",
      "year": "1986",
      "journal-title": "Mater. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r16",
      "doi-asserted-by": "crossref",
      "first-page": "5234",
      "DOI": "10.1063/1.437316",
      "volume": "70",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r16a",
      "doi-asserted-by": "crossref",
      "first-page": "4974",
      "DOI": "10.1063/1.438311",
      "volume": "71",
      "year": "1979",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r17",
      "doi-asserted-by": "crossref",
      "first-page": "2366",
      "DOI": "10.1063/1.442299",
      "volume": "75",
      "year": "1981",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r18",
      "doi-asserted-by": "crossref",
      "first-page": "3108",
      "DOI": "10.1143/JPSJ.55.3108",
      "volume": "55",
      "year": "1986",
      "journal-title": "J. Phys. Soc. Jpn."
    },
    {
      "key": "2024021010355672900_r19",
      "doi-asserted-by": "crossref",
      "first-page": "1803",
      "DOI": "10.1063/1.450427",
      "volume": "84",
      "year": "1986",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r20",
      "doi-asserted-by": "crossref",
      "first-page": "4891",
      "DOI": "10.1063/1.452801",
      "volume": "87",
      "year": "1987",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r21",
      "doi-asserted-by": "crossref",
      "first-page": "4611",
      "DOI": "10.1063/1.443540",
      "volume": "76",
      "year": "1982",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r22",
      "doi-asserted-by": "crossref",
      "first-page": "3288",
      "DOI": "10.1063/1.444208",
      "volume": "77",
      "year": "1982",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r23",
      "doi-asserted-by": "crossref",
      "first-page": "6251",
      "DOI": "10.1063/1.443827",
      "volume": "77",
      "year": "1982",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r24",
      "doi-asserted-by": "crossref",
      "first-page": "1459",
      "DOI": "10.1063/1.444833",
      "volume": "78",
      "year": "1983",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r25",
      "doi-asserted-by": "crossref",
      "first-page": "339",
      "DOI": "10.1002/bip.360270212",
      "volume": "27",
      "year": "1988",
      "journal-title": "Biopolymers"
    },
    {
      "key": "2024021010355672900_r26",
      "doi-asserted-by": "crossref",
      "first-page": "6044",
      "DOI": "10.1063/1.447607",
      "volume": "81",
      "year": "1984",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021010355672900_r27",
      "doi-asserted-by": "crossref",
      "first-page": "402",
      "DOI": "10.1016/S0022-3093(87)80074-1",
      "volume": "94",
      "year": "1987",
      "journal-title": "J. Non-Cryst. Solids."
    },
    {
      "key": "2024021010355672900_r27a",
      "first-page": "1104",
      "volume": "288",
      "year": "1986",
      "journal-title": "Doklady Akad. Nauk SSSR"
    },
    {
      "key": "2024021010355672900_r28",
      "first-page": "L247",
      "volume": "21",
      "year": "1986",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2024021010355672900_r29",
      "doi-asserted-by": "crossref",
      "first-page": "223",
      "DOI": "10.1016/0021-9991(86)90123-3",
      "volume": "67",
      "year": "1986",
      "journal-title": "J. Comp. Phys."
    },
    {
      "key": "2024021010355672900_r30",
      "doi-asserted-by": "crossref",
      "first-page": "451",
      "DOI": "10.1016/0254-0584(88)90080-6",
      "volume": "20",
      "year": "1988",
      "journal-title": "Mater. Chem. Phys."
    },
    {
      "issue": "3",
      "key": "2024021010355672900_r31",
      "first-page": "117",
      "year": "1987",
      "journal-title": "Zh. Strukt. Khim."
    },
    {
      "key": "2024021010355672900_r32"
    },
    {
      "key": "2024021010355672900_r32a"
    },
    {
      "key": "2024021010355672900_r33",
      "doi-asserted-by": "crossref",
      "first-page": "3802",
      "DOI": "10.1143/JPSJ.51.3802",
      "volume": "51",
      "year": "1982",
      "journal-title": "J. Phys. Soc. Jpn."
    },
    {
      "key": "2024021010355672900_r34",
      "doi-asserted-by": "crossref",
      "first-page": "1270",
      "DOI": "10.1143/JPSJ.52.1270",
      "volume": "52",
      "year": "1983",
      "journal-title": "J. Phys. Soc. Jpn."
    },
    {
      "key": "2024021010355672900_r35",
      "doi-asserted-by": "crossref",
      "first-page": "209",
      "DOI": "10.1080/08927028908022364",
      "volume": "4",
      "year": "1989",
      "journal-title": "Mol. Simul."
    },
    {
      "issue": "2",
      "key": "2024021010355672900_r36",
      "first-page": "62",
      "volume": "28",
      "year": "1987",
      "journal-title": "Zh. Strukt. Khim."
    },
    {
      "issue": "4",
      "key": "2024021010355672900_r37",
      "first-page": "91",
      "volume": "27",
      "year": "1986",
      "journal-title": "Zh. Strukt. Khim."
    },
    {
      "key": "2024021010355672900_r38",
      "doi-asserted-by": "crossref",
      "first-page": "1410",
      "DOI": "10.1016/0032-3861(80)90141-X",
      "volume": "21",
      "year": "1980",
      "journal-title": "Polymer"
    },
    {
      "key": "2024021010355672900_r39",
      "doi-asserted-by": "crossref",
      "first-page": "1833",
      "DOI": "10.1021/ja01087a002",
      "volume": "87",
      "year": "1965",
      "journal-title": "J. Am. Chem. Soc."
    },
    {
      "key": "2024021010355672900_r39a",
      "doi-asserted-by": "crossref",
      "first-page": "7",
      "DOI": "10.1039/df9704900007",
      "volume": "49",
      "year": "1970",
      "journal-title": "Discuss. Faraday Soc."
    },
    {
      "key": "2024021010355672900_r40",
      "doi-asserted-by": "crossref",
      "first-page": "342",
      "DOI": "10.1021/ma60010a005",
      "volume": "2",
      "year": "1969",
      "journal-title": "Macromolecules"
    },
    {
      "key": "2024021010355672900_r41",
      "doi-asserted-by": "crossref",
      "first-page": "1118",
      "DOI": "10.1021/ja00291a006",
      "volume": "107",
      "year": "1985",
      "journal-title": "J. Am. Chem. Soc."
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/93/11/8337/18989817/8337_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/93/11/8337/18989817/8337_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        10
      ]
    ],
    "date-time": "2024-02-10T12:23:44Z",
    "timestamp": 1707567824000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/93/11/8337/98232/Distinguishing-liquids-from-amorphous-solids"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1990,
        12,
        1
      ]
    ]
  },
  "references-count": 46,
  "journal-issue": {
    "issue": "11",
    "published-print": {
      "date-parts": [
        [
          1990,
          12,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.459711",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1990,
        12,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1990,
        12,
        1
      ]
    ]
  }
}