DOI: 10.1063/1.454669. Phase diagram of a lattice microemulsion model

Phase diagram of a lattice microemulsion model

10.1063/1.454669

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We derive the phase diagram of a recently proposed model of microemulsions. The model is equivalent to an Ising model with nearest-neighbor interaction parameter J, diagonal-neighbor interaction parameter 2M, and further-neighbor interaction parameter M. We find the regions of stability of the various phases in the j(=J/kT), m(=M/kT) plane, both by solution of the mean-field equations at finite j and m and by an exact analysis at T=0(m→−∞, j→±∞). The disordered (paramagnetic) region is bounded by an ellipse and two of its tangents. We concentrate our attention on the phases of periodic structure near the paramagnetic boundary, on the low-temperature phases, and on the connections between them.

Bibliography

Dawson, K. A., Lipkin, M. D., & Widom, B. (1988). Phase diagram of a lattice microemulsion model. The Journal of Chemical Physics, 88(8), 5149â5156.

Authors 3

K. A. Dawson (first)
M. D. Lipkin (additional)
B. Widom (additional)

References 19 Referenced 77

10.1063/1.450615 / J. Chem. Phys. (1986)
10.1021/ja01014a013 / J. Am. Chem. Soc. (1968)
10.1103/PhysRevLett.44.1502 / Phys. Rev. Lett. (1980)
10.1103/PhysRevB.21.5297 / Phys. Rev. B (1980)
10.1103/PhysRevB.24.4047 / Phys. Rev. B (1981)
10.1098/rsta.1981.0156 / Philos. Trans. R. Soc. London (1981)
{'key': '2024021006030197800_r7'}
{'key': '2024021006030197800_r8'}
10.1103/PhysRevLett.6.670 / Phys. Rev. Lett. (1961)
10.1103/PhysRevA.35.1766 / Phys. Rev. A (1987)
10.1103/PhysRevA.36.3383 / Phys. Rev. A (1987)
{'key': '2024021006030197800_r12'}
{'key': '2024021006030197800_r13'}
{'key': '2024021006030197800_r14'}
{'key': '2024021006030197800_r15'}
10.1088/0022-3719/20/17/001 / J. Phys. C (1987)
10.1103/PhysRevLett.59.1205 / Phys. Rev. Lett. (1987)
10.1103/PhysRevA.36.4067 / Phys. Rev. A (1987)
{'key': '2024021006030197800_r19'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:20 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 2:39 a.m.)
Indexed	3 weeks, 6 days ago (Aug. 2, 2025, 1:20 a.m.)
Issued	37 years, 4 months ago (April 15, 1988)
Published	37 years, 4 months ago (April 15, 1988)
Published Print	37 years, 4 months ago (April 15, 1988)

Funders 0

None

BibTeX

@article{Dawson_1988, title={Phase diagram of a lattice microemulsion model}, volume={88}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.454669}, DOI={10.1063/1.454669}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Dawson, K. A. and Lipkin, M. D. and Widom, B.}, year={1988}, month=apr, pages={5149–5156} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        2
      ]
    ],
    "date-time": "2025-08-02T05:20:30Z",
    "timestamp": 1754112030066
  },
  "reference-count": 19,
  "publisher": "AIP Publishing",
  "issue": "8",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1988,
        4,
        15
      ]
    ]
  },
  "abstract": "<jats:p>We derive the phase diagram of a recently proposed model of microemulsions. The model is equivalent to an Ising model with nearest-neighbor interaction parameter J, diagonal-neighbor interaction parameter 2M, and further-neighbor interaction parameter M. We find the regions of stability of the various phases in the j(=J/kT), m(=M/kT) plane, both by solution of the mean-field equations at finite j and m and by an exact analysis at T=0(m\u2192\u2212\u221e, j\u2192\u00b1\u221e). The disordered (paramagnetic) region is bounded by an ellipse and two of its tangents. We concentrate our attention on the phases of periodic structure near the paramagnetic boundary, on the low-temperature phases, and on the connections between them.</jats:p>",
  "DOI": "10.1063/1.454669",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T13:20:05Z",
    "timestamp": 1027689605000
  },
  "page": "5149-5156",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 77,
  "title": "Phase diagram of a lattice microemulsion model",
  "prefix": "10.1063",
  "volume": "88",
  "author": [
    {
      "given": "K. A.",
      "family": "Dawson",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Department of Chemistry, Baker Laboratory, Cornell University, Ithaca, New York 14853"
        }
      ]
    },
    {
      "given": "M. D.",
      "family": "Lipkin",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Chemistry, Baker Laboratory, Cornell University, Ithaca, New York 14853"
        }
      ]
    },
    {
      "given": "B.",
      "family": "Widom",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Chemistry, Baker Laboratory, Cornell University, Ithaca, New York 14853"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024021006030197800_r1",
      "doi-asserted-by": "crossref",
      "first-page": "6943",
      "DOI": "10.1063/1.450615",
      "volume": "84",
      "year": "1986",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021006030197800_r2",
      "doi-asserted-by": "crossref",
      "first-page": "3064",
      "DOI": "10.1021/ja01014a013",
      "volume": "90",
      "year": "1968",
      "journal-title": "J. Am. Chem. Soc."
    },
    {
      "key": "2024021006030197800_r3",
      "doi-asserted-by": "crossref",
      "first-page": "1502",
      "DOI": "10.1103/PhysRevLett.44.1502",
      "volume": "44",
      "year": "1980",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021006030197800_r4",
      "doi-asserted-by": "crossref",
      "first-page": "5297",
      "DOI": "10.1103/PhysRevB.21.5297",
      "volume": "21",
      "year": "1980",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024021006030197800_r5",
      "doi-asserted-by": "crossref",
      "first-page": "4047",
      "DOI": "10.1103/PhysRevB.24.4047",
      "volume": "24",
      "year": "1981",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024021006030197800_r6",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1098/rsta.1981.0156",
      "volume": "302",
      "year": "1981",
      "journal-title": "Philos. Trans. R. Soc. London"
    },
    {
      "key": "2024021006030197800_r7"
    },
    {
      "key": "2024021006030197800_r8"
    },
    {
      "key": "2024021006030197800_r9",
      "doi-asserted-by": "crossref",
      "first-page": "670",
      "DOI": "10.1103/PhysRevLett.6.670",
      "volume": "6",
      "year": "1961",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021006030197800_r10",
      "doi-asserted-by": "crossref",
      "first-page": "1766",
      "DOI": "10.1103/PhysRevA.35.1766",
      "volume": "35",
      "year": "1987",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021006030197800_r11",
      "doi-asserted-by": "crossref",
      "first-page": "3383",
      "DOI": "10.1103/PhysRevA.36.3383",
      "volume": "36",
      "year": "1987",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021006030197800_r12"
    },
    {
      "key": "2024021006030197800_r13"
    },
    {
      "key": "2024021006030197800_r14"
    },
    {
      "key": "2024021006030197800_r15"
    },
    {
      "key": "2024021006030197800_r16",
      "doi-asserted-by": "crossref",
      "first-page": "L361",
      "DOI": "10.1088/0022-3719/20/17/001",
      "volume": "20",
      "year": "1987",
      "journal-title": "J. Phys. C"
    },
    {
      "key": "2024021006030197800_r17",
      "doi-asserted-by": "crossref",
      "first-page": "1205",
      "DOI": "10.1103/PhysRevLett.59.1205",
      "volume": "59",
      "year": "1987",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024021006030197800_r18",
      "doi-asserted-by": "crossref",
      "first-page": "4067",
      "DOI": "10.1103/PhysRevA.36.4067",
      "volume": "36",
      "year": "1987",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021006030197800_r19"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/88/8/5149/18969890/5149_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/88/8/5149/18969890/5149_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        10
      ]
    ],
    "date-time": "2024-02-10T07:39:33Z",
    "timestamp": 1707550773000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/88/8/5149/94685/Phase-diagram-of-a-lattice-microemulsion"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1988,
        4,
        15
      ]
    ]
  },
  "references-count": 19,
  "journal-issue": {
    "issue": "8",
    "published-print": {
      "date-parts": [
        [
          1988,
          4,
          15
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.454669",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1988,
        4,
        15
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1988,
        4,
        15
      ]
    ]
  }
}