DOI: 10.1063/1.3506843. On melting dynamics and the glass transition. II. Glassy dynamics as a melting process

On melting dynamics and the glass transition. II. Glassy dynamics as a melting process

10.1063/1.3506843

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

There are deep analogies between the melting dynamics in systems with a first-order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first-order transition—namely p-spin models on the so-called Nishimori line—it can be shown that the melting dynamics can be exactly mapped to the equilibrium dynamics. In this mapping the dynamical—or mode-coupling—glass transition corresponds to the spinodal point, while the Kauzmann transition corresponds to the first-order phase transition itself. Both in mean field and finite dimensional models this mapping provides an exact realization of the random first-order theory scenario for the glass transition. The corresponding glassy phenomenology can then be understood in the framework of a standard first-order phase transition.

Bibliography

Krzakala, F., & ZdeborovÃ¡, L. (2011). On melting dynamics and the glass transition. II. Glassy dynamics as a melting process. The Journal of Chemical Physics, 134(3).

Authors 2

Florent Krzakala (first)
Lenka Zdeborová (additional)

References 90 Referenced 26

10.1038/35065704 / Nature (2001)
10.1021/jp953538d / J. Phys. Chem. (1996)
10.1016/0022-3697(88)90002-9 / J. Phys. Chem. Solids (1988)
{'key': '2023080407523584100_c4a', 'first-page': '645', 'volume': '22', 'year': '1921', 'journal-title': 'Phys. Z.'} / Phys. Z. (1921)
10.1111/j.1151-2916.1925.tb16731.x / J. Am. Ceram. Soc. (1925)
10.1021/cr60135a002 / Chem. Rev. (1948)
{'key': '2023080407523584100_c6', 'first-page': '139146', 'volume': '43', 'year': '1965', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1965)
10.1088/0953-8984/12/29/305 / J. Phys.: Condens. Matter (2000)
10.1103/PhysRevE.71.041505 / Phys. Rev. E (2005)
10.1126/science.287.5453.627 / Science (2000)
10.1063/1.1796231 / J. Chem. Phys. (2004)
10.1007/s10955-006-9103-1 / J. Stat. Phys. (2006)
10.1007/s10955-006-9175-y / J. Stat. Phys. (2006)
10.1103/PhysRevLett.98.187801 / Phys. Rev. Lett. (2007)
10.1038/nphys1050 / Nat. Phy. (2008)
10.1103/PhysRevLett.58.2091 / Phys. Rev. Lett. (1987)
10.1103/PhysRevB.36.5388 / Phys. Rev. B (1987)
10.1103/PhysRevA.35.3072 / Phys. Rev. A (1987)
10.1103/PhysRevB.36.8552 / Phys. Rev. B (1987)
10.1103/PhysRevA.40.1045 / Phys. Rev. A (1989)
10.1103/PhysRevLett.82.747 / Phys. Rev. Lett. (1999)
10.1063/1.2711621 / Phys. Today (2007)
{'year': '2009', 'key': '2023080407523584100_c20'} (2009)
10.1063/1.3506841 / J. Chem. Phys. (2011)
10.1103/PhysRevLett.45.79 / Phys. Rev. Lett. (1980)
10.1103/PhysRevLett.45.79 / Phys. Rev. B (1981)
10.1016/0550-3213(84)90237-2 / Nucl. Phys. B (1984)
10.1103/PhysRevE.63.026702 / Phys. Rev. E (2001)
10.1209/epl/i2001-00438-4 / Europhys. Lett. (2001)
10.1143/PTP.66.1169 / Prog. Theor. Phys. (1981)
{'volume-title': 'Statistical Physics of Spin Glasses and Information Processing: An Introduction', 'year': '2001', 'key': '2023080407523584100_c26'} / Statistical Physics of Spin Glasses and Information Processing: An Introduction (2001)
10.1088/0305-4470/28/13/010 / J. Phys. A (1995)
10.1088/0953-8984/9/50/018 / J. Phys.: Condens. Matter (1997)
10.1088/0305-4608/5/5/017 / J. Phys. F: Met. Phys. (1975)
{'volume-title': 'Spin-Glass Theory and Beyond, Lecture Notes in Physics', 'year': '1987', 'key': '2023080407523584100_c30'} / Spin-Glass Theory and Beyond, Lecture Notes in Physics (1987)
{'volume-title': 'Spin Glasses', 'year': '1991', 'key': '2023080407523584100_c31'} / Spin Glasses (1991)
10.1063/1.1672587 / J. Chem. Phys. (1969)
10.1103/PhysRevE.64.041605 / Phys. Rev. E (2001)
10.1103/PhysRevB.62.11494 / Phys. Rev. B (2000)
10.1063/1.1560937 / J. Chem. Phys. (2003)
10.1051/jphys:019870048010100 / J. Phys. (1987)
10.1143/PTP.69.20 / Prog. Theor. Phys. (1983)
10.1023/A:1022885828956 / J. Stat. Phys. (20903)
10.1007/s00220-002-0699-y / Commun. Math. Phys. (2002)
10.1007/BF01314921 / J. Stat. Phys. (1990)
10.1103/PhysRevLett.62.2503 / Phys. Rev. Lett. (1989)
10.1103/PhysRevLett.79.2486 / Phys. Rev. Lett. (1997)
{'key': '2023080407523584100_c41'}
10.1088/0034-4885/50/7/001 / Rep. Prog. Phys. (1987)
10.1103/PhysRevB.8.3423 / Phys. Rev. B (1973)
10.1063/1.1670641 / J. Chem. Phys. (1968)
10.1016/S0378-4371(98)00501-9 / Physica. A (1999)
10.1209/0295-5075/90/66002 / Europhys. Lett. (2010)
10.1103/PhysRevB.81.224205 / Phys. Rev. B (2010)
10.1103/PhysRevLett.71.173 / Phys. Rev. Lett. (1993)
10.1016/0378-4371(95)00423-8 / Physica A (1996)
{'volume-title': 'Spin Glasses and Random Fields', 'year': '1998', 'author': 'Young', 'key': '2023080407523584100_c49b'} / Spin Glasses and Random Fields by Young (1998)
10.1088/0305-4470/34/26/302 / J. Phys. A (2001)
{'year': '2008', 'key': '2023080407523584100_c51'} (2008)
{'year': '2009', 'key': '2023080407523584100_c52a', 'article-title': 'Quiet planting in the locked constraint satisfaction problems'} / Quiet planting in the locked constraint satisfaction problems (2009)
{'key': '2023080407523584100_c52b', 'article-title': 'SIAM J. Discrete Math.'} / SIAM J. Discrete Math.
10.1103/PhysRevLett.102.238701 / Phys. Rev. Lett. (2009)
10.1016/S0378-4371(98)00315-X / Physica A (1998)
10.1088/0305-4470/34/14/303 / J. Phys. A (2001)
10.1103/PhysRevE.60.132 / Phys. Rev. E (1999)
10.1088/0953-8984/2/S/029 / J. Phys.: Condens. Matter (1990)
10.1103/RevModPhys.76.785 / Rev. Mod. Phys. (2004)
10.1209/epl/i2004-10044-6 / Europhys. Lett. (2004)
10.1103/PhysRevLett.54.2708 / Phys. Rev. Lett. (1985)
10.1103/PhysRevB.38.373 / Phys. Rev. B (1988)
10.1103/PhysRevB.54.9756 / Phys. Rev. B (1996)
10.1016/0378-4371(92)90306-B / Physica A (1992)
10.1088/0305-4470/27/22/002 / J. Phys. A (1994)
10.1007/s100510050707 / Eur. Phys. J. B (1999)
10.1209/epl/i2004-10276-4 / Europhys. Lett. (2004)
10.1143/PTPS.157.111 / Prog. Theor. Phys. Suppl. (2005)
10.1103/PhysRevE.65.026113 / Phys. Rev. E (2002)
10.1103/PhysRevLett.89.217202 / Phys. Rev. Lett. (2002)
10.1103/PhysRevLett.100.197202 / Phys. Rev. Lett. (2008)
10.1038/nphys261 / Nat. Phys. (2006)
{'key': '2023080407523584100_c67', 'first-page': '23382341', 'volume': '80', 'year': '1998', 'journal-title': 'Phys. Rev. Lett.'} / Phys. Rev. Lett. (1998)
10.1103/PhysRevB.77.134109 / Phys. Rev. B (2008)
10.1088/1742-5468/2009/08/P08014 / J. Stat. Mech. (2009)
10.1103/PhysRevLett.92.030602 / Phys. Rev. Lett. (2004)
10.1088/1751-8113/40/11/F01 / J. Phys. A: Math. Theor. (2007)
{'key': '2023080407523584100_c71'}
{'key': '2023080407523584100_c72'}
{'key': '2023080407523584100_c73'}
{'key': '2023080407523584100_c74'}
{'key': '2023080407523584100_c75'}

Dates

Type	When
Created	14 years, 6 months ago (Jan. 22, 2011, 6:26 p.m.)
Deposited	2 years ago (Aug. 4, 2023, 3:53 a.m.)
Indexed	3 weeks ago (July 30, 2025, 6:56 a.m.)
Issued	14 years, 7 months ago (Jan. 21, 2011)
Published	14 years, 7 months ago (Jan. 21, 2011)
Published Online	14 years, 7 months ago (Jan. 21, 2011)
Published Print	14 years, 7 months ago (Jan. 21, 2011)

Funders 0

None

BibTeX

@article{Krzakala_2011, title={On melting dynamics and the glass transition. II. Glassy dynamics as a melting process}, volume={134}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.3506843}, DOI={10.1063/1.3506843}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Krzakala, Florent and Zdeborová, Lenka}, year={2011}, month=jan }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        30
      ]
    ],
    "date-time": "2025-07-30T10:56:13Z",
    "timestamp": 1753872973028,
    "version": "3.41.2"
  },
  "reference-count": 90,
  "publisher": "AIP Publishing",
  "issue": "3",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        2011,
        1,
        21
      ]
    ]
  },
  "abstract": "<jats:p>There are deep analogies between the melting dynamics in systems with a first-order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first-order transition\u2014namely p-spin models on the so-called Nishimori line\u2014it can be shown that the melting dynamics can be exactly mapped to the equilibrium dynamics. In this mapping the dynamical\u2014or mode-coupling\u2014glass transition corresponds to the spinodal point, while the Kauzmann transition corresponds to the first-order phase transition itself. Both in mean field and finite dimensional models this mapping provides an exact realization of the random first-order theory scenario for the glass transition. The corresponding glassy phenomenology can then be understood in the framework of a standard first-order phase transition.</jats:p>",
  "DOI": "10.1063/1.3506843",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2011,
        1,
        22
      ]
    ],
    "date-time": "2011-01-22T23:26:10Z",
    "timestamp": 1295738770000
  },
  "update-policy": "https://doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 26,
  "title": "On melting dynamics and the glass transition. II. Glassy dynamics as a melting process",
  "prefix": "10.1063",
  "volume": "134",
  "author": [
    {
      "given": "Florent",
      "family": "Krzakala",
      "sequence": "first",
      "affiliation": [
        {
          "name": "CNRS and ESPCI ParisTech 1 , 10 rue Vauquelin, UMR 7083 Gulliver, Paris 75005, France"
        },
        {
          "name": "Los Alamos National Laboratory 2 Theoretical Division and Center for Nonlinear Studies, , New Mexico 87545, USA"
        }
      ]
    },
    {
      "given": "Lenka",
      "family": "Zdeborov\u00e1",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Los Alamos National Laboratory 2 Theoretical Division and Center for Nonlinear Studies, , New Mexico 87545, USA"
        },
        {
          "name": "Institute de Physique Th\u00e9orique 3 , IPhT, CEA Saclay, and URA 2306, CNRS, F-91191 Gif-sur-Yvette Cedex, France"
        }
      ]
    }
  ],
  "member": "317",
  "published-online": {
    "date-parts": [
      [
        2011,
        1,
        21
      ]
    ]
  },
  "reference": [
    {
      "key": "2023080407523584100_c1",
      "doi-asserted-by": "publisher",
      "first-page": "259",
      "DOI": "10.1038/35065704",
      "volume": "410",
      "year": "2001",
      "journal-title": "Nature"
    },
    {
      "key": "2023080407523584100_c2",
      "doi-asserted-by": "publisher",
      "first-page": "13200",
      "DOI": "10.1021/jp953538d",
      "volume": "100",
      "year": "1996",
      "journal-title": "J. Phys. Chem."
    },
    {
      "key": "2023080407523584100_c3",
      "doi-asserted-by": "publisher",
      "first-page": "863",
      "DOI": "10.1016/0022-3697(88)90002-9",
      "volume": "49",
      "year": "1988",
      "journal-title": "J. Phys. Chem. Solids"
    },
    {
      "key": "2023080407523584100_c4a",
      "first-page": "645",
      "volume": "22",
      "year": "1921",
      "journal-title": "Phys. Z."
    },
    {
      "key": "2023080407523584100_c4b",
      "doi-asserted-by": "crossref",
      "first-page": "339",
      "DOI": "10.1111/j.1151-2916.1925.tb16731.x",
      "volume": "8",
      "year": "1925",
      "journal-title": "J. Am. Ceram. Soc."
    },
    {
      "key": "2023080407523584100_c5",
      "doi-asserted-by": "publisher",
      "first-page": "219",
      "DOI": "10.1021/cr60135a002",
      "volume": "43",
      "year": "1948",
      "journal-title": "Chem. Rev."
    },
    {
      "key": "2023080407523584100_c6",
      "first-page": "139146",
      "volume": "43",
      "year": "1965",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2023080407523584100_c7",
      "doi-asserted-by": "publisher",
      "first-page": "6335",
      "DOI": "10.1088/0953-8984/12/29/305",
      "volume": "12",
      "year": "2000",
      "journal-title": "J. Phys.: Condens. Matter"
    },
    {
      "key": "2023080407523584100_c8",
      "doi-asserted-by": "publisher",
      "first-page": "041505",
      "DOI": "10.1103/PhysRevE.71.041505",
      "volume": "71",
      "year": "2005",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2023080407523584100_c9",
      "doi-asserted-by": "publisher",
      "first-page": "627",
      "DOI": "10.1126/science.287.5453.627",
      "volume": "287",
      "year": "2000",
      "journal-title": "Science"
    },
    {
      "key": "2023080407523584100_c10",
      "doi-asserted-by": "publisher",
      "first-page": "7347",
      "DOI": "10.1063/1.1796231",
      "volume": "121",
      "year": "2004",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2023080407523584100_c11",
      "doi-asserted-by": "publisher",
      "first-page": "103",
      "DOI": "10.1007/s10955-006-9103-1",
      "volume": "124",
      "year": "2006",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2023080407523584100_c12",
      "doi-asserted-by": "publisher",
      "first-page": "23",
      "DOI": "10.1007/s10955-006-9175-y",
      "volume": "125",
      "year": "2006",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2023080407523584100_c13a",
      "doi-asserted-by": "publisher",
      "first-page": "187801",
      "DOI": "10.1103/PhysRevLett.98.187801",
      "volume": "98",
      "year": "2007",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c13b",
      "doi-asserted-by": "publisher",
      "first-page": "771",
      "DOI": "10.1038/nphys1050",
      "volume": "4",
      "year": "2008",
      "journal-title": "Nat. Phy."
    },
    {
      "key": "2023080407523584100_c14a",
      "doi-asserted-by": "publisher",
      "first-page": "2091",
      "DOI": "10.1103/PhysRevLett.58.2091",
      "volume": "58",
      "year": "1987",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c14b",
      "doi-asserted-by": "publisher",
      "first-page": "5388",
      "DOI": "10.1103/PhysRevB.36.5388",
      "volume": "36",
      "year": "1987",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c15",
      "doi-asserted-by": "publisher",
      "first-page": "3072",
      "DOI": "10.1103/PhysRevA.35.3072",
      "volume": "35",
      "year": "1987",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2023080407523584100_c16",
      "doi-asserted-by": "publisher",
      "first-page": "8552",
      "DOI": "10.1103/PhysRevB.36.8552",
      "volume": "36",
      "year": "1987",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c17",
      "doi-asserted-by": "publisher",
      "first-page": "1045",
      "DOI": "10.1103/PhysRevA.40.1045",
      "volume": "40",
      "year": "1989",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2023080407523584100_c18",
      "doi-asserted-by": "publisher",
      "first-page": "747",
      "DOI": "10.1103/PhysRevLett.82.747",
      "volume": "82",
      "year": "1999",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c19",
      "doi-asserted-by": "publisher",
      "first-page": "8",
      "DOI": "10.1063/1.2711621",
      "volume": "60",
      "year": "2007",
      "journal-title": "Phys. Today"
    },
    {
      "year": "2009",
      "key": "2023080407523584100_c20"
    },
    {
      "key": "2023080407523584100_c21",
      "doi-asserted-by": "publisher",
      "first-page": "034512",
      "DOI": "10.1063/1.3506841",
      "volume": "134",
      "year": "2011",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2023080407523584100_c22a",
      "doi-asserted-by": "crossref",
      "first-page": "79",
      "DOI": "10.1103/PhysRevLett.45.79",
      "volume": "45",
      "year": "1980",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c22b",
      "doi-asserted-by": "publisher",
      "first-page": "2613",
      "DOI": "10.1103/PhysRevLett.45.79",
      "volume": "24",
      "year": "1981",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c23",
      "doi-asserted-by": "publisher",
      "first-page": "431",
      "DOI": "10.1016/0550-3213(84)90237-2",
      "volume": "240",
      "year": "1984",
      "journal-title": "Nucl. Phys. B"
    },
    {
      "key": "2023080407523584100_c24a",
      "doi-asserted-by": "publisher",
      "first-page": "026702",
      "DOI": "10.1103/PhysRevE.63.026702",
      "volume": "63",
      "year": "2001",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2023080407523584100_c24b",
      "doi-asserted-by": "publisher",
      "first-page": "465",
      "DOI": "10.1209/epl/i2001-00438-4",
      "volume": "55",
      "year": "2001",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "2023080407523584100_c25",
      "doi-asserted-by": "publisher",
      "first-page": "1169",
      "DOI": "10.1143/PTP.66.1169",
      "volume": "66",
      "year": "1981",
      "journal-title": "Prog. Theor. Phys."
    },
    {
      "volume-title": "Statistical Physics of Spin Glasses and Information Processing: An Introduction",
      "year": "2001",
      "key": "2023080407523584100_c26"
    },
    {
      "key": "2023080407523584100_c27",
      "doi-asserted-by": "publisher",
      "first-page": "3645",
      "DOI": "10.1088/0305-4470/28/13/010",
      "volume": "28",
      "year": "1995",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2023080407523584100_c28",
      "doi-asserted-by": "publisher",
      "first-page": "11171",
      "DOI": "10.1088/0953-8984/9/50/018",
      "volume": "9",
      "year": "1997",
      "journal-title": "J. Phys.: Condens. Matter"
    },
    {
      "key": "2023080407523584100_c29",
      "doi-asserted-by": "publisher",
      "first-page": "965",
      "DOI": "10.1088/0305-4608/5/5/017",
      "volume": "5",
      "year": "1975",
      "journal-title": "J. Phys. F: Met. Phys."
    },
    {
      "volume-title": "Spin-Glass Theory and Beyond, Lecture Notes in Physics",
      "year": "1987",
      "key": "2023080407523584100_c30"
    },
    {
      "volume-title": "Spin Glasses",
      "year": "1991",
      "key": "2023080407523584100_c31"
    },
    {
      "key": "2023080407523584100_c32",
      "doi-asserted-by": "publisher",
      "first-page": "3728",
      "DOI": "10.1063/1.1672587",
      "volume": "51",
      "year": "1969",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2023080407523584100_c33",
      "doi-asserted-by": "publisher",
      "first-page": "041605",
      "DOI": "10.1103/PhysRevE.64.041605",
      "volume": "64",
      "year": "2001",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2023080407523584100_c34",
      "doi-asserted-by": "publisher",
      "first-page": "1149411498",
      "DOI": "10.1103/PhysRevB.62.11494",
      "volume": "62",
      "year": "2000",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c35",
      "doi-asserted-by": "publisher",
      "first-page": "6974",
      "DOI": "10.1063/1.1560937",
      "volume": "118",
      "year": "2003",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2023080407523584100_c36a",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1051/jphys:019870048010100",
      "volume": "48",
      "year": "1987",
      "journal-title": "J. Phys."
    },
    {
      "key": "2023080407523584100_c36b",
      "doi-asserted-by": "publisher",
      "first-page": "20",
      "DOI": "10.1143/PTP.69.20",
      "volume": "69",
      "year": "1983",
      "journal-title": "Prog. Theor. Phys."
    },
    {
      "key": "2023080407523584100_c37",
      "doi-asserted-by": "publisher",
      "first-page": "535",
      "DOI": "10.1023/A:1022885828956",
      "volume": "111",
      "year": "20903",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2023080407523584100_c38",
      "doi-asserted-by": "publisher",
      "first-page": "7179",
      "DOI": "10.1007/s00220-002-0699-y",
      "volume": "230",
      "year": "2002",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "2023080407523584100_c39a",
      "doi-asserted-by": "publisher",
      "first-page": "287",
      "DOI": "10.1007/BF01314921",
      "volume": "60",
      "year": "1990",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2023080407523584100_c39b",
      "doi-asserted-by": "publisher",
      "first-page": "2503",
      "DOI": "10.1103/PhysRevLett.62.2503",
      "volume": "62",
      "year": "1989",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c40",
      "doi-asserted-by": "publisher",
      "first-page": "2486",
      "DOI": "10.1103/PhysRevLett.79.2486",
      "volume": "79",
      "year": "1997",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c41"
    },
    {
      "key": "2023080407523584100_c42",
      "doi-asserted-by": "publisher",
      "first-page": "783",
      "DOI": "10.1088/0034-4885/50/7/001",
      "volume": "50",
      "year": "1987",
      "journal-title": "Rep. Prog. Phys."
    },
    {
      "key": "2023080407523584100_c43",
      "doi-asserted-by": "publisher",
      "first-page": "34233438",
      "DOI": "10.1103/PhysRevB.8.3423",
      "volume": "8",
      "year": "1973",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c44",
      "doi-asserted-by": "publisher",
      "first-page": "3609",
      "DOI": "10.1063/1.1670641",
      "volume": "49",
      "year": "1968",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2023080407523584100_c45",
      "doi-asserted-by": "publisher",
      "first-page": "26",
      "DOI": "10.1016/S0378-4371(98)00501-9",
      "volume": "263",
      "year": "1999",
      "journal-title": "Physica. A"
    },
    {
      "key": "2023080407523584100_c46",
      "doi-asserted-by": "publisher",
      "first-page": "66002",
      "DOI": "10.1209/0295-5075/90/66002",
      "volume": "90",
      "year": "2010",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "2023080407523584100_c47",
      "doi-asserted-by": "publisher",
      "first-page": "224205",
      "DOI": "10.1103/PhysRevB.81.224205",
      "volume": "81",
      "year": "2010",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c48",
      "doi-asserted-by": "publisher",
      "first-page": "173",
      "DOI": "10.1103/PhysRevLett.71.173",
      "volume": "71",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c49a",
      "doi-asserted-by": "publisher",
      "first-page": "243",
      "DOI": "10.1016/0378-4371(95)00423-8",
      "volume": "226",
      "year": "1996",
      "journal-title": "Physica A"
    },
    {
      "volume-title": "Spin Glasses and Random Fields",
      "year": "1998",
      "author": "Young",
      "key": "2023080407523584100_c49b"
    },
    {
      "key": "2023080407523584100_c50",
      "doi-asserted-by": "publisher",
      "first-page": "5317",
      "DOI": "10.1088/0305-4470/34/26/302",
      "volume": "34",
      "year": "2001",
      "journal-title": "J. Phys. A"
    },
    {
      "year": "2008",
      "key": "2023080407523584100_c51"
    },
    {
      "year": "2009",
      "key": "2023080407523584100_c52a",
      "article-title": "Quiet planting in the locked constraint satisfaction problems"
    },
    {
      "key": "2023080407523584100_c52b",
      "article-title": "SIAM J. Discrete Math."
    },
    {
      "key": "2023080407523584100_c53",
      "doi-asserted-by": "publisher",
      "first-page": "238701",
      "DOI": "10.1103/PhysRevLett.102.238701",
      "volume": "102",
      "year": "2009",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c54",
      "doi-asserted-by": "publisher",
      "first-page": "317",
      "DOI": "10.1016/S0378-4371(98)00315-X",
      "volume": "261",
      "year": "1998",
      "journal-title": "Physica A"
    },
    {
      "key": "2023080407523584100_c55",
      "doi-asserted-by": "publisher",
      "first-page": "2949",
      "DOI": "10.1088/0305-4470/34/14/303",
      "volume": "34",
      "year": "2001",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2023080407523584100_c56",
      "doi-asserted-by": "publisher",
      "first-page": "132",
      "DOI": "10.1103/PhysRevE.60.132",
      "volume": "60",
      "year": "1999",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2023080407523584100_c57",
      "doi-asserted-by": "publisher",
      "first-page": "SA201",
      "DOI": "10.1088/0953-8984/2/S/029",
      "volume": "2",
      "year": "1990",
      "journal-title": "J. Phys.: Condens. Matter"
    },
    {
      "key": "2023080407523584100_c58",
      "doi-asserted-by": "publisher",
      "first-page": "785",
      "DOI": "10.1103/RevModPhys.76.785",
      "volume": "76",
      "year": "2004",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2023080407523584100_c59",
      "doi-asserted-by": "publisher",
      "first-page": "21",
      "DOI": "10.1209/epl/i2004-10044-6",
      "volume": "67",
      "year": "2004",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "2023080407523584100_c60a",
      "doi-asserted-by": "publisher",
      "first-page": "2708",
      "DOI": "10.1103/PhysRevLett.54.2708",
      "volume": "54",
      "year": "1985",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c60b",
      "doi-asserted-by": "publisher",
      "first-page": "373",
      "DOI": "10.1103/PhysRevB.38.373",
      "volume": "38",
      "year": "1988",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c61",
      "doi-asserted-by": "publisher",
      "first-page": "9756",
      "DOI": "10.1103/PhysRevB.54.9756",
      "volume": "54",
      "year": "1996",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c61a",
      "doi-asserted-by": "publisher",
      "first-page": "279",
      "DOI": "10.1016/0378-4371(92)90306-B",
      "volume": "184",
      "year": "1992",
      "journal-title": "Physica A"
    },
    {
      "key": "2023080407523584100_c61b",
      "doi-asserted-by": "publisher",
      "first-page": "L853",
      "DOI": "10.1088/0305-4470/27/22/002",
      "volume": "27",
      "year": "1994",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2023080407523584100_c61c",
      "doi-asserted-by": "publisher",
      "first-page": "417",
      "DOI": "10.1007/s100510050707",
      "volume": "8",
      "year": "1999",
      "journal-title": "Eur. Phys. J. B"
    },
    {
      "key": "2023080407523584100_c62a",
      "doi-asserted-by": "publisher",
      "first-page": "881",
      "DOI": "10.1209/epl/i2004-10276-4",
      "volume": "68",
      "year": "2004",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "2023080407523584100_c62b",
      "doi-asserted-by": "publisher",
      "first-page": "111",
      "DOI": "10.1143/PTPS.157.111",
      "volume": "157",
      "year": "2005",
      "journal-title": "Prog. Theor. Phys. Suppl."
    },
    {
      "key": "2023080407523584100_c63",
      "doi-asserted-by": "publisher",
      "first-page": "026113",
      "DOI": "10.1103/PhysRevE.65.026113",
      "volume": "65",
      "year": "2002",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "2023080407523584100_c64",
      "doi-asserted-by": "publisher",
      "first-page": "217202",
      "DOI": "10.1103/PhysRevLett.89.217202",
      "volume": "89",
      "year": "2002",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c65",
      "doi-asserted-by": "publisher",
      "first-page": "197202",
      "DOI": "10.1103/PhysRevLett.100.197202",
      "volume": "100",
      "year": "2008",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c66",
      "doi-asserted-by": "publisher",
      "first-page": "268",
      "DOI": "10.1038/nphys261",
      "volume": "2",
      "year": "2006",
      "journal-title": "Nat. Phys."
    },
    {
      "key": "2023080407523584100_c67",
      "first-page": "23382341",
      "volume": "80",
      "year": "1998",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c68",
      "doi-asserted-by": "publisher",
      "first-page": "134109",
      "DOI": "10.1103/PhysRevB.77.134109",
      "volume": "77",
      "year": "2008",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023080407523584100_c69",
      "doi-asserted-by": "publisher",
      "first-page": "P08014",
      "DOI": "10.1088/1742-5468/2009/08/P08014",
      "year": "2009",
      "journal-title": "J. Stat. Mech."
    },
    {
      "key": "2023080407523584100_c70a",
      "doi-asserted-by": "publisher",
      "first-page": "030602",
      "DOI": "10.1103/PhysRevLett.92.030602",
      "volume": "92",
      "year": "2004",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023080407523584100_c70b",
      "doi-asserted-by": "publisher",
      "first-page": "F251",
      "DOI": "10.1088/1751-8113/40/11/F01",
      "volume": "40",
      "year": "2007",
      "journal-title": "J. Phys. A: Math. Theor."
    },
    {
      "key": "2023080407523584100_c71"
    },
    {
      "key": "2023080407523584100_c72"
    },
    {
      "key": "2023080407523584100_c73"
    },
    {
      "key": "2023080407523584100_c74"
    },
    {
      "key": "2023080407523584100_c75"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/doi/10.1063/1.3506843/13488674/034513_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/doi/10.1063/1.3506843/13488674/034513_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2023,
        8,
        4
      ]
    ],
    "date-time": "2023-08-04T07:53:29Z",
    "timestamp": 1691135609000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/134/3/034513/983552/On-melting-dynamics-and-the-glass-transition-II"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2011,
        1,
        21
      ]
    ]
  },
  "references-count": 90,
  "journal-issue": {
    "issue": "3",
    "published-print": {
      "date-parts": [
        [
          2011,
          1,
          21
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.3506843",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        2011,
        1,
        21
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        2011,
        1,
        21
      ]
    ]
  },
  "article-number": "034513"
}