DOI: 10.1063/1.351732. Theory of atomic level sliding friction between ideal crystal interfaces

Theory of atomic level sliding friction between ideal crystal interfaces

10.1063/1.351732

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

Recent theoretical work on atomic level sliding friction is summarized. Some previous analytic results are verified by numerical simulations, and finite-size scaling arguments based on several time scales appropriate to finite crystals undergoing shear motion are used to interpret the results of the simulations and to give insight into the methods by which energy is dissipated in such a shearing process. One conclusion is that the existence of a lifetime for the lattice vibrations plays an important role in determining the velocity dependence of the force of friction, for any finite-size crystal. Finally the force of friction found in recent microbalance experiments between a solid rare-gas-element film on a metallic substrate is calculated by the present methods and compared to experiment. The main conclusion is that the observed friction is probably due to atomic level defects such as substitutional impurities. Larger-scale defects on the surface contribute a much smaller value.

Bibliography

Sokoloff, J. B. (1992). Theory of atomic level sliding friction between ideal crystal interfaces. Journal of Applied Physics, 72(4), 1262â1270.

Authors 1

J. B. Sokoloff (first)

References 48 Referenced 40

{'key': '2024020415465152400_r1', 'first-page': '630', 'volume': '56', 'year': '1986', 'journal-title': 'Phys. Rev. Lett.'} / Phys. Rev. Lett. (1986)
10.1103/PhysRevLett.57.3235 / Phys. Rev. Lett. (1986)
10.1103/PhysRevLett.59.1942 / Phys. Rev. Lett. (1987)
10.1063/1.455608 / J. Chem. Phys. (1988)
10.1063/1.1141354 / Rev. Sci. Instrum. (1990)
10.1103/PhysRevLett.66.181 / Phys. Rev. Lett. (1991)
{'key': '2024020415465152400_r5a', 'first-page': '3466', 'volume': '41', 'year': '1990', 'journal-title': 'Phys. Rev. Lett.'} / Phys. Rev. Lett. (1990)
{'key': '2024020415465152400_r5b', 'first-page': '12', 'volume': '38', 'year': '1988', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1988)
{'key': '2024020415465152400_r6'}
10.1098/rspa.1957.0214 / Proc. R. Soc. London Ser. A (1957)
{'key': '2024020415465152400_r8', 'first-page': '7', 'volume': '7', 'year': '1929', 'journal-title': 'Philos. Mag. Suppl.'} / Philos. Mag. Suppl. (1929)
{'key': '2024020415465152400_r9', 'first-page': '24', 'volume': '7', 'year': '1943', 'journal-title': 'J. Phys. (Moscow)'} / J. Phys. (Moscow) (1943)
10.1103/PhysRevB.42.760 / Phys. Rev. B (1990)
{'key': '2024020415465152400_r11'}
10.1103/PhysRevLett.66.965 / Phys. Rev. Lett. (1991)
10.1016/0040-6090(91)90423-U / Thin Solid Films (1991)
10.1016/0039-6028(84)90720-9 / Surf. Sci. (1984)
10.1103/PhysRevB.20.5071 / Phys. Rev. B (1979)
{'key': '2024020415465152400_r15', 'first-page': '3054', 'volume': '61', 'year': '1988', 'journal-title': 'Phys. Rev. Lett.'} / Phys. Rev. Lett. (1988)
{'key': '2024020415465152400_r16'}
10.1063/1.104276 / Appl. Phys. Lett. (1990)
10.1088/0034-4885/31/1/303 / Rep. Progr. Phys. (1968)
10.1088/0953-8984/2/7/009 / J. Phys. Condens. Matter (1990)
10.1103/PhysRevB.41.7411 / Phys. Rev. B (1990)
10.1103/PhysRevB.44.6329 / Phys. Rev. B (1991)
{'key': '2024020415465152400_r20'}
10.1098/rspa.1949.0095 / Proc. R. Soc. London Ser. A (1949)
10.1098/rspa.1949.0163 / Proc. R. Soc. London, Ser. A (1949)
10.1016/0039-6028(74)90012-0 / Surf. Sci. (1974)
10.1103/PhysRevB.16.4655 / Phys. Rev. B (1977)
{'key': '2024020415465152400_r22', 'first-page': '1', 'volume': '13', 'year': '1939', 'journal-title': 'Phys. Z. Sowjetunion'} / Phys. Z. Sowjetunion (1939)
{'key': '2024020415465152400_r22a', 'first-page': '137', 'volume': '1', 'year': '1939', 'journal-title': 'J. Phys. USSR'} / J. Phys. USSR (1939)
{'key': '2024020415465152400_r23'}
{'key': '2024020415465152400_r23a'}
10.1103/PhysRevB.18.6549 / Phys. Rev. B (1978)
{'key': '2024020415465152400_r25'}
{'key': '2024020415465152400_r26'}
{'key': '2024020415465152400_r27', 'first-page': '763', 'volume': '138', 'year': '1965', 'journal-title': 'Phys. Rev. A'} / Phys. Rev. A (1965)
10.1063/1.1658479 / J. Appl. Phys. (1970)
10.1063/1.1661711 / J. Appl. Phys. (1972)
{'key': '2024020415465152400_r29'}
{'key': '2024020415465152400_r29a', 'first-page': '17', 'volume': '80', 'year': '1991', 'journal-title': 'Solid State Commun.'} / Solid State Commun. (1991)
{'key': '2024020415465152400_r30'}
10.1088/0031-8949/29/4/014 / Phys. Scr. (1984)
10.1080/14786436108243361 / Philos. Mag. (1961)
10.1080/00018736700101665 / Adv. Phys. (1967)
{'key': '2024020415465152400_r33', 'first-page': '6745', 'volume': '42', 'year': '1990', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1990)
10.1016/0039-6028(78)90176-0 / Surf. Sci. (1978)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:45 a.m.)
Deposited	1 year, 6 months ago (Feb. 4, 2024, 10:47 a.m.)
Indexed	1 year, 6 months ago (Feb. 4, 2024, 11:10 a.m.)
Issued	33 years ago (Aug. 15, 1992)
Published	33 years ago (Aug. 15, 1992)
Published Print	33 years ago (Aug. 15, 1992)

Funders 0

None

BibTeX

@article{Sokoloff_1992, title={Theory of atomic level sliding friction between ideal crystal interfaces}, volume={72}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.351732}, DOI={10.1063/1.351732}, number={4}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Sokoloff, J. B.}, year={1992}, month=aug, pages={1262–1270} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        2,
        4
      ]
    ],
    "date-time": "2024-02-04T16:10:16Z",
    "timestamp": 1707063016506
  },
  "reference-count": 48,
  "publisher": "AIP Publishing",
  "issue": "4",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1992,
        8,
        15
      ]
    ]
  },
  "abstract": "<jats:p>Recent theoretical work on atomic level sliding friction is summarized. Some previous analytic results are verified by numerical simulations, and finite-size scaling arguments based on several time scales appropriate to finite crystals undergoing shear motion are used to interpret the results of the simulations and to give insight into the methods by which energy is dissipated in such a shearing process. One conclusion is that the existence of a lifetime for the lattice vibrations plays an important role in determining the velocity dependence of the force of friction, for any finite-size crystal. Finally the force of friction found in recent microbalance experiments between a solid rare-gas-element film on a metallic substrate is calculated by the present methods and compared to experiment. The main conclusion is that the observed friction is probably due to atomic level defects such as substitutional impurities. Larger-scale defects on the surface contribute a much smaller value.</jats:p>",
  "DOI": "10.1063/1.351732",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T13:45:29Z",
    "timestamp": 1027691129000
  },
  "page": "1262-1270",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 40,
  "title": "Theory of atomic level sliding friction between ideal crystal interfaces",
  "prefix": "10.1063",
  "volume": "72",
  "author": [
    {
      "given": "J. B.",
      "family": "Sokoloff",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Physics Department, Northeastern University, Boston, Massachusetts 02115"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020415465152400_r1",
      "first-page": "630",
      "volume": "56",
      "year": "1986",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r1a",
      "doi-asserted-by": "crossref",
      "first-page": "3235",
      "DOI": "10.1103/PhysRevLett.57.3235",
      "volume": "57",
      "year": "1986",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r2",
      "doi-asserted-by": "crossref",
      "first-page": "1942",
      "DOI": "10.1103/PhysRevLett.59.1942",
      "volume": "59",
      "year": "1987",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r3",
      "doi-asserted-by": "crossref",
      "first-page": "5190",
      "DOI": "10.1063/1.455608",
      "volume": "89",
      "year": "1988",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020415465152400_r4",
      "doi-asserted-by": "crossref",
      "first-page": "2296",
      "DOI": "10.1063/1.1141354",
      "volume": "61",
      "year": "1990",
      "journal-title": "Rev. Sci. Instrum."
    },
    {
      "key": "2024020415465152400_r5",
      "doi-asserted-by": "crossref",
      "first-page": "181",
      "DOI": "10.1103/PhysRevLett.66.181",
      "volume": "66",
      "year": "1991",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r5a",
      "first-page": "3466",
      "volume": "41",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r5b",
      "first-page": "12",
      "volume": "38",
      "year": "1988",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r6"
    },
    {
      "key": "2024020415465152400_r7",
      "doi-asserted-by": "crossref",
      "first-page": "190",
      "DOI": "10.1098/rspa.1957.0214",
      "volume": "243",
      "year": "1957",
      "journal-title": "Proc. R. Soc. London Ser. A"
    },
    {
      "key": "2024020415465152400_r8",
      "first-page": "7",
      "volume": "7",
      "year": "1929",
      "journal-title": "Philos. Mag. Suppl."
    },
    {
      "key": "2024020415465152400_r9",
      "first-page": "24",
      "volume": "7",
      "year": "1943",
      "journal-title": "J. Phys. (Moscow)"
    },
    {
      "key": "2024020415465152400_r10",
      "doi-asserted-by": "crossref",
      "first-page": "760",
      "DOI": "10.1103/PhysRevB.42.760",
      "volume": "42",
      "year": "1990",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r11"
    },
    {
      "key": "2024020415465152400_r12",
      "doi-asserted-by": "crossref",
      "first-page": "965",
      "DOI": "10.1103/PhysRevLett.66.965",
      "volume": "66",
      "year": "1991",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r12a",
      "doi-asserted-by": "crossref",
      "first-page": "208",
      "DOI": "10.1016/0040-6090(91)90423-U",
      "volume": "206",
      "year": "1991",
      "journal-title": "Thin Solid Films"
    },
    {
      "key": "2024020415465152400_r13",
      "doi-asserted-by": "crossref",
      "first-page": "267",
      "DOI": "10.1016/0039-6028(84)90720-9",
      "volume": "144",
      "year": "1984",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "2024020415465152400_r14",
      "doi-asserted-by": "crossref",
      "first-page": "5071",
      "DOI": "10.1103/PhysRevB.20.5071",
      "volume": "20",
      "year": "1979",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r15",
      "first-page": "3054",
      "volume": "61",
      "year": "1988",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020415465152400_r16"
    },
    {
      "key": "2024020415465152400_r17",
      "doi-asserted-by": "crossref",
      "first-page": "995",
      "DOI": "10.1063/1.104276",
      "volume": "57",
      "year": "1990",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "issue": "1",
      "key": "2024020415465152400_r18",
      "doi-asserted-by": "crossref",
      "first-page": "123",
      "DOI": "10.1088/0034-4885/31/1/303",
      "volume": "31",
      "year": "1968",
      "journal-title": "Rep. Progr. Phys."
    },
    {
      "key": "2024020415465152400_r19",
      "doi-asserted-by": "crossref",
      "first-page": "1781",
      "DOI": "10.1088/0953-8984/2/7/009",
      "volume": "2",
      "year": "1990",
      "journal-title": "J. Phys. Condens. Matter"
    },
    {
      "key": "2024020415465152400_r19a",
      "doi-asserted-by": "crossref",
      "first-page": "7411",
      "DOI": "10.1103/PhysRevB.41.7411",
      "volume": "41",
      "year": "1990",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r19b",
      "doi-asserted-by": "crossref",
      "first-page": "6329",
      "DOI": "10.1103/PhysRevB.44.6329",
      "volume": "44",
      "year": "1991",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r20"
    },
    {
      "key": "2024020415465152400_r21",
      "doi-asserted-by": "crossref",
      "first-page": "205",
      "DOI": "10.1098/rspa.1949.0095",
      "volume": "198",
      "year": "1949",
      "journal-title": "Proc. R. Soc. London Ser. A"
    },
    {
      "key": "2024020415465152400_r21a",
      "doi-asserted-by": "crossref",
      "first-page": "125",
      "DOI": "10.1098/rspa.1949.0163",
      "volume": "200",
      "year": "1949",
      "journal-title": "Proc. R. Soc. London, Ser. A"
    },
    {
      "key": "2024020415465152400_r21b",
      "doi-asserted-by": "crossref",
      "first-page": "190",
      "DOI": "10.1016/0039-6028(74)90012-0",
      "volume": "42",
      "year": "1974",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "2024020415465152400_r21c",
      "doi-asserted-by": "crossref",
      "first-page": "4655",
      "DOI": "10.1103/PhysRevB.16.4655",
      "volume": "16",
      "year": "1977",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r22",
      "first-page": "1",
      "volume": "13",
      "year": "1939",
      "journal-title": "Phys. Z. Sowjetunion"
    },
    {
      "key": "2024020415465152400_r22a",
      "first-page": "137",
      "volume": "1",
      "year": "1939",
      "journal-title": "J. Phys. USSR"
    },
    {
      "key": "2024020415465152400_r23"
    },
    {
      "key": "2024020415465152400_r23a"
    },
    {
      "key": "2024020415465152400_r24",
      "doi-asserted-by": "crossref",
      "first-page": "6549",
      "DOI": "10.1103/PhysRevB.18.6549",
      "volume": "18",
      "year": "1978",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r25"
    },
    {
      "key": "2024020415465152400_r26"
    },
    {
      "key": "2024020415465152400_r27",
      "first-page": "763",
      "volume": "138",
      "year": "1965",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024020415465152400_r28",
      "doi-asserted-by": "crossref",
      "first-page": "4443",
      "DOI": "10.1063/1.1658479",
      "volume": "41",
      "year": "1970",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "2024020415465152400_r28a",
      "doi-asserted-by": "crossref",
      "first-page": "3301",
      "DOI": "10.1063/1.1661711",
      "volume": "43",
      "year": "1972",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "2024020415465152400_r29"
    },
    {
      "key": "2024020415465152400_r29a",
      "first-page": "17",
      "volume": "80",
      "year": "1991",
      "journal-title": "Solid State Commun."
    },
    {
      "key": "2024020415465152400_r30"
    },
    {
      "key": "2024020415465152400_r31",
      "doi-asserted-by": "crossref",
      "first-page": "360",
      "DOI": "10.1088/0031-8949/29/4/014",
      "volume": "29",
      "year": "1984",
      "journal-title": "Phys. Scr."
    },
    {
      "key": "2024020415465152400_r32",
      "doi-asserted-by": "crossref",
      "first-page": "1013",
      "DOI": "10.1080/14786436108243361",
      "volume": "6",
      "year": "1961",
      "journal-title": "Philos. Mag."
    },
    {
      "key": "2024020415465152400_r32a",
      "doi-asserted-by": "crossref",
      "first-page": "551",
      "DOI": "10.1080/00018736700101665",
      "volume": "16",
      "year": "1967",
      "journal-title": "Adv. Phys."
    },
    {
      "key": "2024020415465152400_r33",
      "first-page": "6745",
      "volume": "42",
      "year": "1990",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020415465152400_r34",
      "doi-asserted-by": "crossref",
      "first-page": "529",
      "DOI": "10.1016/0039-6028(78)90176-0",
      "volume": "75",
      "year": "1978",
      "journal-title": "Surf. Sci."
    }
  ],
  "container-title": "Journal of Applied Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jap/article-pdf/72/4/1262/18652051/1262_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jap/article-pdf/72/4/1262/18652051/1262_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        4
      ]
    ],
    "date-time": "2024-02-04T15:47:14Z",
    "timestamp": 1707061634000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jap/article/72/4/1262/530919/Theory-of-atomic-level-sliding-friction-between"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1992,
        8,
        15
      ]
    ]
  },
  "references-count": 48,
  "journal-issue": {
    "issue": "4",
    "published-print": {
      "date-parts": [
        [
          1992,
          8,
          15
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.351732",
  "relation": {},
  "ISSN": [
    "0021-8979",
    "1089-7550"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1992,
        8,
        15
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1992,
        8,
        15
      ]
    ]
  }
}