DOI: 10.1063/1.1675416. Theory of Brownian Motion. IV. A Hydrodynamic Model for the Friction Factor

Theory of Brownian Motion. IV. A Hydrodynamic Model for the Friction Factor

10.1063/1.1675416

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The hydrodynamical theory of the velocity correlation function of a Brownian particle, due to Widom, is combined with the non-Markovian generalized Fokker–Planck equation given by the molecular theory of Brownian motion. An expression for the friction kernel (force autocorrelation) is derived. On the basis of the model here considered, the friction kernel decays as t−3/2 for long times.

Bibliography

Mazo, R. M. (1971). Theory of Brownian Motion. IV. A Hydrodynamic Model for the Friction Factor. The Journal of Chemical Physics, 54(9), 3712â3713.

Authors 1

Robert M. Mazo (first)

References 8 Referenced 37

10.1103/PhysRevA.3.1027 / Phys. Rev. A (1971)
10.1103/PhysRev.131.2381 / Phys. Rev. (1963)
{'key': '2024020907453944300_r2a', 'first-page': '1101', 'volume': '139A', 'year': '1965', 'journal-title': 'Phys. Rev.'} / Phys. Rev. (1965)
{'key': '2024020907453944300_r3'}
{'key': '2024020907453944300_r4'}
10.1007/BF01007243 / J. Stat. Phys. (1969)
10.1063/1.1697219 / J. Chem. Phys. (1965)
10.1103/PhysRevA.1.18 / Phys. Rev. A (1970)

Dates

Type	When
Created	21 years, 7 months ago (Feb. 6, 2004, 3:15 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 3:30 a.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 8:20 p.m.)
Issued	54 years, 4 months ago (May 1, 1971)
Published	54 years, 4 months ago (May 1, 1971)
Published Print	54 years, 4 months ago (May 1, 1971)

Funders 0

None

BibTeX

@article{Mazo_1971, title={Theory of Brownian Motion. IV. A Hydrodynamic Model for the Friction Factor}, volume={54}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1675416}, DOI={10.1063/1.1675416}, number={9}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Mazo, Robert M.}, year={1971}, month=may, pages={3712–3713} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        2,
        11
      ]
    ],
    "date-time": "2024-02-11T01:20:01Z",
    "timestamp": 1707614401645
  },
  "reference-count": 8,
  "publisher": "AIP Publishing",
  "issue": "9",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1971,
        5,
        1
      ]
    ]
  },
  "abstract": "<jats:p>The hydrodynamical theory of the velocity correlation function of a Brownian particle, due to Widom, is combined with the non-Markovian generalized Fokker\u2013Planck equation given by the molecular theory of Brownian motion. An expression for the friction kernel (force autocorrelation) is derived. On the basis of the model here considered, the friction kernel decays as t\u22123/2 for long times.</jats:p>",
  "DOI": "10.1063/1.1675416",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2004,
        2,
        6
      ]
    ],
    "date-time": "2004-02-06T20:15:58Z",
    "timestamp": 1076098558000
  },
  "page": "3712-3713",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 37,
  "title": "Theory of Brownian Motion. IV. A Hydrodynamic Model for the Friction Factor",
  "prefix": "10.1063",
  "volume": "54",
  "author": [
    {
      "given": "Robert M.",
      "family": "Mazo",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Institute of Theoretical Science and Department of Chemistry, University of Oregon, Eugene, Oregon 97403"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020907453944300_r1",
      "doi-asserted-by": "crossref",
      "first-page": "1027",
      "DOI": "10.1103/PhysRevA.3.1027",
      "volume": "3",
      "year": "1971",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024020907453944300_r2",
      "doi-asserted-by": "crossref",
      "first-page": "2381",
      "DOI": "10.1103/PhysRev.131.2381",
      "volume": "131",
      "year": "1963",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020907453944300_r2a",
      "first-page": "1101",
      "volume": "139A",
      "year": "1965",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020907453944300_r3"
    },
    {
      "key": "2024020907453944300_r4"
    },
    {
      "key": "2024020907453944300_r5",
      "doi-asserted-by": "crossref",
      "first-page": "89",
      "DOI": "10.1007/BF01007243",
      "volume": "1",
      "year": "1969",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024020907453944300_r6",
      "doi-asserted-by": "crossref",
      "first-page": "2873",
      "DOI": "10.1063/1.1697219",
      "volume": "43",
      "year": "1965",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020907453944300_r7",
      "doi-asserted-by": "crossref",
      "first-page": "18",
      "DOI": "10.1103/PhysRevA.1.18",
      "volume": "1",
      "year": "1970",
      "journal-title": "Phys. Rev. A"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/54/9/3712/18873865/3712_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/54/9/3712/18873865/3712_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        9
      ]
    ],
    "date-time": "2024-02-09T08:30:11Z",
    "timestamp": 1707467411000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/54/9/3712/981227/Theory-of-Brownian-Motion-IV-A-Hydrodynamic-Model"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1971,
        5,
        1
      ]
    ]
  },
  "references-count": 8,
  "journal-issue": {
    "issue": "9",
    "published-print": {
      "date-parts": [
        [
          1971,
          5,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1675416",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1971,
        5,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1971,
        5,
        1
      ]
    ]
  }
}