DOI: 10.1103/physreve.49.2601. Stability and kinetics of step motion on crystal surfaces

Stability and kinetics of step motion on crystal surfaces

10.1103/physreve.49.2601

Crossref journal-article

American Physical Society (APS)

Physical Review E (16)

Bibliography

Liu, F., & Metiu, H. (1994). Stability and kinetics of step motion on crystal surfaces. Physical Review E, 49(4), 2601â2616.

Authors 2

Fong Liu (first)
Horia Metiu (additional)

References 44 Referenced 96

10.1098/rsta.1951.0006 / Philos. Trans. R. Soc. London, Ser. A by W. K. Burton (1951)
10.1103/PhysRevB.41.5500 / Phys. Rev. B by G. S. Bales (1990)
10.1103/PhysRevB.48.2024 / Phys. Rev. B by G. S. Bales (1993)
10.1147/rd.326.0804 / IBM J. Res. Dev. by R. Ghez (1988)
10.1063/1.103016 / Appl. Phys. Lett. by R. Ghez (1990)
10.1016/0039-6028(92)90132-P / Surf. Sci. by D. G. Vlachos (1992)
10.1063/1.1707904 / J. Appl. Phys. by R. L. Schwoebel (1966)
10.1063/1.1657442 / J. Appl. Phys. by R. L. Schwoebel (1969)
10.1103/RevModPhys.52.1 / Rev. Mod. Phys. by J. S. Langer (1980)
{'key': 'PhysRevE.49.2601Cc7R3', 'first-page': '123', 'volume': '34', 'author': 'D. A. Kessler', 'year': '1990', 'journal-title': 'Adv. Phys.'} / Adv. Phys. by D. A. Kessler (1990)
10.1016/0001-6160(77)90199-7 / Acta Metall. by J. S. Langer (1977)
10.1016/0001-6160(77)90200-0 / Acta Metall. by J. S. Langer (1977)
10.1063/1.1702607 / J. Appl. Phys. by W. W. Mullins (1963)
10.1063/1.1713333 / J. Appl. Phys. by W. W. Mullins (1964)
10.1103/PhysRevB.48.12193 / Phys. Rev. B by C. Misbah (1993)
{'key': 'PhysRevE.49.2601Cc11R1', 'volume-title': 'Crystal Growth: An Introduction', 'author': 'P. Bennema', 'year': '1973'} / Crystal Growth: An Introduction by P. Bennema (1973)
10.1126/science.251.4992.393 / Science by E. D. Williams (1991)
10.1103/PhysRevLett.68.224 / Phys. Rev. Lett. by M. Uwaha (1992)
10.1016/0039-6028(93)91005-A / Surf. Sci. by M. Uwaha (1993)
10.1103/PhysRevE.47.3524 / Phys. Rev. E by T. Salditt (1993)
10.1103/PhysRevA.36.3350 / Phys. Rev. A by J. S. Langer (1987)
10.1103/PhysRevE.47.2702 / Phys. Rev. E by J. A. Warren (1993)
10.1103/PhysRevLett.70.3439 / Phys. Rev. Lett. by A. Karma (1993)
10.1103/PhysRevE.48.3441 / Phys. Rev. E by A. Karma (1993)
{'key': 'PhysRevE.49.2601Cc17R1', 'first-page': '109', 'volume': '21', 'author': 'T. A. Cherepanova', 'year': '1976', 'journal-title': 'Sov. Phys. Dokl.'} / Sov. Phys. Dokl. by T. A. Cherepanova (1976)
10.1007/BF02660661 / Metall. Trans. by K. W. Keller (1991)
10.1016/0022-0248(80)90186-4 / J. Cryst. Growth by H. Bethge (1980)
10.1016/0039-6028(89)90256-2 / Surf. Sci. by A. V. Latyshev (1989)
10.1016/0169-4332(92)90450-C / Appl. Surf. Sci. by A. V. Latyshev (1992)
10.1016/0040-6090(82)90104-3 / Thin Solid Films by E. Bauser (1982)
10.1016/0304-3991(83)90233-4 / Ultramicroscopy by T. Hsu (1983)
10.1116/1.574521 / J. Vac. Sci. Technol. by S. Ogava (1987)
{'key': 'PhysRevE.49.2601Cc21R1', 'volume-title': 'Growth and Perfection of Crystals', 'author': 'F. C. Frank', 'year': '1958'} / Growth and Perfection of Crystals by F. C. Frank (1958)
10.1070/PU1961v004n01ABEH003328 / Sov. Phys. Usp. by A. A. Chernov (1961)
10.1016/0956-7151(92)90090-2 / Acta Metall. Mater. by J. E. Taylor (1992)
10.1016/0022-3697(63)90081-7 / J. Phys. Chem. Solids by W. W. Mullins (1963)
10.1103/PhysRevLett.69.3758 / Phys. Rev. Lett. by D. Kandel (1992)
10.1016/0022-0248(76)90110-X / J. Cryst. Growth by R. van Rosmalen (1976)
10.1016/0039-6028(74)90103-4 / Surf. Sci. by C. van Leeuwen (1974)
10.1103/PhysRevB.31.6119 / Phys. Rev. B by J. B. Collins (1985)
{'key': 'PhysRevE.49.2601Cc25R3', 'volume-title': 'Directions in Condensed Matter Physics', 'author': 'J. S. Langer', 'year': '1986'} / Directions in Condensed Matter Physics by J. S. Langer (1986)
10.1103/PhysRevA.39.5887 / Phys. Rev. A by G. Caginalp (1989)
10.1103/PhysRevB.46.16045 / Phys. Rev. B by R. Kupferman (1992)
10.1103/PhysRevA.45.2399 / Phys. Rev. A by H. Lowen (1992)

Dates

Type	When
Created	23 years ago (July 26, 2002, 9:07 p.m.)
Deposited	7 years, 8 months ago (Dec. 9, 2017, 7:37 p.m.)
Indexed	3 weeks, 3 days ago (July 28, 2025, 5:48 p.m.)
Issued	31 years, 4 months ago (April 1, 1994)
Published	31 years, 4 months ago (April 1, 1994)
Published Online	31 years, 4 months ago (April 1, 1994)

Funders 0

None

BibTeX

@article{Liu_1994, title={Stability and kinetics of step motion on crystal surfaces}, volume={49}, ISSN={1095-3787}, url={http://dx.doi.org/10.1103/physreve.49.2601}, DOI={10.1103/physreve.49.2601}, number={4}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Liu, Fong and Metiu, Horia}, year={1994}, month=apr, pages={2601–2616} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        28
      ]
    ],
    "date-time": "2025-07-28T21:48:15Z",
    "timestamp": 1753739295445
  },
  "reference-count": 44,
  "publisher": "American Physical Society (APS)",
  "issue": "4",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1994,
            4,
            1
          ]
        ],
        "date-time": "1994-04-01T00:00:00Z",
        "timestamp": 765158400000
      },
      "content-version": "vor",
      "delay-in-days": 0,
      "URL": "http://link.aps.org/licenses/aps-default-license"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "DOI": "10.1103/physreve.49.2601",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        27
      ]
    ],
    "date-time": "2002-07-27T01:07:07Z",
    "timestamp": 1027732027000
  },
  "page": "2601-2616",
  "source": "Crossref",
  "is-referenced-by-count": 96,
  "title": "Stability and kinetics of step motion on crystal surfaces",
  "prefix": "10.1103",
  "volume": "49",
  "author": [
    {
      "given": "Fong",
      "family": "Liu",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Horia",
      "family": "Metiu",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "16",
  "published-online": {
    "date-parts": [
      [
        1994,
        4,
        1
      ]
    ]
  },
  "reference": [
    {
      "key": "PhysRevE.49.2601Cc1R1",
      "doi-asserted-by": "crossref",
      "first-page": "299",
      "DOI": "10.1098/rsta.1951.0006",
      "volume": "243",
      "author": "W. K. Burton",
      "year": "1951",
      "journal-title": "Philos. Trans. R. Soc. London, Ser. A"
    },
    {
      "key": "PhysRevE.49.2601Cc2R1",
      "doi-asserted-by": "crossref",
      "first-page": "5500",
      "DOI": "10.1103/PhysRevB.41.5500",
      "volume": "41",
      "author": "G. S. Bales",
      "year": "1990",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "PhysRevE.49.2601Cc2R2",
      "doi-asserted-by": "crossref",
      "first-page": "2024",
      "DOI": "10.1103/PhysRevB.48.2024",
      "volume": "48",
      "author": "G. S. Bales",
      "year": "1993",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "PhysRevE.49.2601Cc3R1",
      "doi-asserted-by": "crossref",
      "first-page": "804",
      "DOI": "10.1147/rd.326.0804",
      "volume": "32",
      "author": "R. Ghez",
      "year": "1988",
      "journal-title": "IBM J. Res. Dev."
    },
    {
      "key": "PhysRevE.49.2601Cc4R1",
      "doi-asserted-by": "crossref",
      "first-page": "1977",
      "DOI": "10.1063/1.103016",
      "volume": "56",
      "author": "R. Ghez",
      "year": "1990",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "PhysRevE.49.2601Cc5R1",
      "doi-asserted-by": "crossref",
      "first-page": "359",
      "DOI": "10.1016/0039-6028(92)90132-P",
      "volume": "262",
      "author": "D. G. Vlachos",
      "year": "1992",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "PhysRevE.49.2601Cc6R1",
      "doi-asserted-by": "crossref",
      "first-page": "3682",
      "DOI": "10.1063/1.1707904",
      "volume": "37",
      "author": "R. L. Schwoebel",
      "year": "1966",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "PhysRevE.49.2601Cc6R2",
      "doi-asserted-by": "crossref",
      "first-page": "614",
      "DOI": "10.1063/1.1657442",
      "volume": "40",
      "author": "R. L. Schwoebel",
      "year": "1969",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "PhysRevE.49.2601Cc7R1",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1103/RevModPhys.52.1",
      "volume": "50",
      "author": "J. S. Langer",
      "year": "1980",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "PhysRevE.49.2601Cc7R3",
      "first-page": "123",
      "volume": "34",
      "author": "D. A. Kessler",
      "year": "1990",
      "journal-title": "Adv. Phys."
    },
    {
      "key": "PhysRevE.49.2601Cc8R1",
      "doi-asserted-by": "crossref",
      "first-page": "1113",
      "DOI": "10.1016/0001-6160(77)90199-7",
      "volume": "25",
      "author": "J. S. Langer",
      "year": "1977",
      "journal-title": "Acta Metall."
    },
    {
      "key": "PhysRevE.49.2601Cc8R2",
      "doi-asserted-by": "crossref",
      "first-page": "1121",
      "DOI": "10.1016/0001-6160(77)90200-0",
      "volume": "25",
      "author": "J. S. Langer",
      "year": "1977",
      "journal-title": "Acta Metall."
    },
    {
      "key": "PhysRevE.49.2601Cc9R1",
      "doi-asserted-by": "crossref",
      "first-page": "323",
      "DOI": "10.1063/1.1702607",
      "volume": "34",
      "author": "W. W. Mullins",
      "year": "1963",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "PhysRevE.49.2601Cc9R2",
      "doi-asserted-by": "crossref",
      "first-page": "444",
      "DOI": "10.1063/1.1713333",
      "volume": "35",
      "author": "W. W. Mullins",
      "year": "1964",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "PhysRevE.49.2601Cc10R1",
      "doi-asserted-by": "crossref",
      "first-page": "12193",
      "DOI": "10.1103/PhysRevB.48.12193",
      "volume": "48",
      "author": "C. Misbah",
      "year": "1993",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "PhysRevE.49.2601Cc11R1",
      "volume-title": "Crystal Growth: An Introduction",
      "author": "P. Bennema",
      "year": "1973"
    },
    {
      "key": "PhysRevE.49.2601Cc12R1",
      "doi-asserted-by": "crossref",
      "first-page": "393",
      "DOI": "10.1126/science.251.4992.393",
      "volume": "251",
      "author": "E. D. Williams",
      "year": "1991",
      "journal-title": "Science"
    },
    {
      "key": "PhysRevE.49.2601Cc13R1",
      "doi-asserted-by": "crossref",
      "first-page": "224",
      "DOI": "10.1103/PhysRevLett.68.224",
      "volume": "68",
      "author": "M. Uwaha",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "PhysRevE.49.2601Cc13R2",
      "doi-asserted-by": "crossref",
      "first-page": "366",
      "DOI": "10.1016/0039-6028(93)91005-A",
      "volume": "283",
      "author": "M. Uwaha",
      "year": "1993",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "PhysRevE.49.2601Cc14R1",
      "doi-asserted-by": "crossref",
      "first-page": "3524",
      "DOI": "10.1103/PhysRevE.47.3524",
      "volume": "47",
      "author": "T. Salditt",
      "year": "1993",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "PhysRevE.49.2601Cc15R1",
      "doi-asserted-by": "crossref",
      "first-page": "3350",
      "DOI": "10.1103/PhysRevA.36.3350",
      "volume": "36",
      "author": "J. S. Langer",
      "year": "1987",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "PhysRevE.49.2601Cc15R2",
      "doi-asserted-by": "crossref",
      "first-page": "2702",
      "DOI": "10.1103/PhysRevE.47.2702",
      "volume": "47",
      "author": "J. A. Warren",
      "year": "1993",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "PhysRevE.49.2601Cc16R1",
      "doi-asserted-by": "crossref",
      "first-page": "3439",
      "DOI": "10.1103/PhysRevLett.70.3439",
      "volume": "70",
      "author": "A. Karma",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "PhysRevE.49.2601Cc16R2",
      "doi-asserted-by": "crossref",
      "first-page": "3441",
      "DOI": "10.1103/PhysRevE.48.3441",
      "volume": "48",
      "author": "A. Karma",
      "year": "1993",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "PhysRevE.49.2601Cc17R1",
      "first-page": "109",
      "volume": "21",
      "author": "T. A. Cherepanova",
      "year": "1976",
      "journal-title": "Sov. Phys. Dokl."
    },
    {
      "key": "PhysRevE.49.2601Cc18R1",
      "doi-asserted-by": "crossref",
      "first-page": "1299",
      "DOI": "10.1007/BF02660661",
      "volume": "22A",
      "author": "K. W. Keller",
      "year": "1991",
      "journal-title": "Metall. Trans."
    },
    {
      "key": "PhysRevE.49.2601Cc18R2",
      "doi-asserted-by": "crossref",
      "first-page": "9",
      "DOI": "10.1016/0022-0248(80)90186-4",
      "volume": "48",
      "author": "H. Bethge",
      "year": "1980",
      "journal-title": "J. Cryst. Growth"
    },
    {
      "key": "PhysRevE.49.2601Cc19R1",
      "doi-asserted-by": "crossref",
      "first-page": "157",
      "DOI": "10.1016/0039-6028(89)90256-2",
      "volume": "213",
      "author": "A. V. Latyshev",
      "year": "1989",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "PhysRevE.49.2601Cc19R2",
      "doi-asserted-by": "crossref",
      "first-page": "397",
      "DOI": "10.1016/0169-4332(92)90450-C",
      "volume": "60",
      "author": "A. V. Latyshev",
      "year": "1992",
      "journal-title": "Appl. Surf. Sci."
    },
    {
      "key": "PhysRevE.49.2601Cc19R3",
      "doi-asserted-by": "crossref",
      "first-page": "185",
      "DOI": "10.1016/0040-6090(82)90104-3",
      "volume": "93",
      "author": "E. Bauser",
      "year": "1982",
      "journal-title": "Thin Solid Films"
    },
    {
      "key": "PhysRevE.49.2601Cc20R1",
      "doi-asserted-by": "crossref",
      "first-page": "167",
      "DOI": "10.1016/0304-3991(83)90233-4",
      "volume": "11",
      "author": "T. Hsu",
      "year": "1983",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "PhysRevE.49.2601Cc20R2",
      "doi-asserted-by": "crossref",
      "first-page": "1735",
      "DOI": "10.1116/1.574521",
      "volume": "5",
      "author": "S. Ogava",
      "year": "1987",
      "journal-title": "J. Vac. Sci. Technol."
    },
    {
      "key": "PhysRevE.49.2601Cc21R1",
      "volume-title": "Growth and Perfection of Crystals",
      "author": "F. C. Frank",
      "year": "1958"
    },
    {
      "key": "PhysRevE.49.2601Cc21R3",
      "doi-asserted-by": "crossref",
      "first-page": "116",
      "DOI": "10.1070/PU1961v004n01ABEH003328",
      "volume": "4",
      "author": "A. A. Chernov",
      "year": "1961",
      "journal-title": "Sov. Phys. Usp."
    },
    {
      "key": "PhysRevE.49.2601Cc22R1",
      "doi-asserted-by": "crossref",
      "first-page": "1443",
      "DOI": "10.1016/0956-7151(92)90090-2",
      "volume": "40",
      "author": "J. E. Taylor",
      "year": "1992",
      "journal-title": "Acta Metall. Mater."
    },
    {
      "key": "PhysRevE.49.2601Cc23R1",
      "doi-asserted-by": "crossref",
      "first-page": "1391",
      "DOI": "10.1016/0022-3697(63)90081-7",
      "volume": "24",
      "author": "W. W. Mullins",
      "year": "1963",
      "journal-title": "J. Phys. Chem. Solids"
    },
    {
      "key": "PhysRevE.49.2601Cc24R1",
      "doi-asserted-by": "crossref",
      "first-page": "3758",
      "DOI": "10.1103/PhysRevLett.69.3758",
      "volume": "69",
      "author": "D. Kandel",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "PhysRevE.49.2601Cc24R2",
      "doi-asserted-by": "crossref",
      "first-page": "293",
      "DOI": "10.1016/0022-0248(76)90110-X",
      "volume": "32",
      "author": "R. van Rosmalen",
      "year": "1976",
      "journal-title": "J. Cryst. Growth"
    },
    {
      "key": "PhysRevE.49.2601Cc24R3",
      "doi-asserted-by": "crossref",
      "first-page": "213",
      "DOI": "10.1016/0039-6028(74)90103-4",
      "volume": "44",
      "author": "C. van Leeuwen",
      "year": "1974",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "PhysRevE.49.2601Cc25R2",
      "doi-asserted-by": "crossref",
      "first-page": "6119",
      "DOI": "10.1103/PhysRevB.31.6119",
      "volume": "31",
      "author": "J. B. Collins",
      "year": "1985",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "PhysRevE.49.2601Cc25R3",
      "volume-title": "Directions in Condensed Matter Physics",
      "author": "J. S. Langer",
      "year": "1986"
    },
    {
      "key": "PhysRevE.49.2601Cc26R1",
      "doi-asserted-by": "crossref",
      "first-page": "5887",
      "DOI": "10.1103/PhysRevA.39.5887",
      "volume": "39",
      "author": "G. Caginalp",
      "year": "1989",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "PhysRevE.49.2601Cc26R2",
      "doi-asserted-by": "crossref",
      "first-page": "16045",
      "DOI": "10.1103/PhysRevB.46.16045",
      "volume": "46",
      "author": "R. Kupferman",
      "year": "1992",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "PhysRevE.49.2601Cc27R1",
      "doi-asserted-by": "crossref",
      "first-page": "2399",
      "DOI": "10.1103/PhysRevA.45.2399",
      "volume": "45",
      "author": "H. Lowen",
      "year": "1992",
      "journal-title": "Phys. Rev. A"
    }
  ],
  "container-title": "Physical Review E",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.aps.org/article/10.1103/PhysRevE.49.2601",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.49.2601/fulltext",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2017,
        12,
        10
      ]
    ],
    "date-time": "2017-12-10T00:37:27Z",
    "timestamp": 1512866247000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://link.aps.org/doi/10.1103/PhysRevE.49.2601"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1994,
        4,
        1
      ]
    ]
  },
  "references-count": 44,
  "journal-issue": {
    "issue": "4",
    "published-print": {
      "date-parts": [
        [
          1994,
          4
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1103/PhysRevE.49.2601",
  "relation": {},
  "ISSN": [
    "1063-651X",
    "1095-3787"
  ],
  "subject": [],
  "container-title-short": "Phys. Rev. E",
  "published": {
    "date-parts": [
      [
        1994,
        4,
        1
      ]
    ]
  }
}