DOI: 10.1002/polb.1989.090270807. Growth and decay of concentration fluctuations in polymer

Growth and decay of concentration fluctuations in polymer–polymer mixtures

10.1002/polb.1989.090270807

Crossref journal-article

Wiley

Journal of Polymer Science Part B: Polymer Physics (311)

Abstract

AbstractA computer simulation based on the Cahn–Hilliard nonlinear diffusion equation, developed in the field of metallurgy, is applied to the demixing behavior of a polymer–polymer mixture. The simulation is a one‐dimensional version. Spatially periodic concentration fluctuations appear at a very early stage and evolve with the wave number almost constant. Later some waves are absorbed into neighboring ones, resulting in a decrease in the average wave number of the concentration fluctuation. Thus, characteristic phenomena in the demixing are successfully described by the computer simulation. Furthermore, the simulated time variation of wave number agrees with experimental results in the literature. The analysis is extended to two‐step quenching: after a homogeneous mixture undergoes the first temperature‐jump from the single‐phase region to the two‐phase region of the phase diagram, the system is allowed to demix isothermally for a time, and then the demixed system undergoes the second jump to deeper or shallower quench. When the quench depth of the second jump (ΔT2) is smaller than half the first depth (ΔT1), the concentration fluctuation as developed under ΔT1 decays with time after the second jump. When ΔT2 is between ΔT1 and (ΔT1/2), the fluctuation decays slightly after the second jump and then increases. When the second jump is to a deeper quench (ΔT2 > ΔT1), a new fluctuation of short wavelength is superimposed on the previously developed one.

Bibliography

Ohnaga, T., & Inoue, T. (1989). Growth and decay of concentration fluctuations in polymerâpolymer mixtures. Journal of Polymer Science Part B: Polymer Physics, 27(8), 1675â1689. Portico.

Authors 2

Takashi Ohnaga (first)
Takashi Inoue (additional)

References 33 Referenced 10

10.1021/ma00238a030
10.1021/ma00239a011
10.1063/1.449124
10.1063/1.451675
10.1021/ma00169a029
10.1063/1.451477
10.1063/1.451409
10.1021/ma00175a034
10.1021/ma60044a025
10.1002/polb.1986.090240401
10.1021/ma00160a036
10.1002/pol.1982.180201205
10.1021/ba-1975-0142.ch005
10.1063/1.1695731
10.1016/0001-6160(70)90144-6
10.1063/1.445747
10.1021/ma00145a041
10.1103/PhysRevA.11.1417
10.1103/PhysRevLett.33.1006
10.1103/PhysRevA.20.595
10.1016/0022-3697(61)90054-3
10.1143/PTP.59.362
10.1080/00018738500101841
10.1021/ma00143a009
K.Yamanaka andT.Inoue Polymer in press.
10.2320/matertrans1960.24.246 / Trans JIM by Miyazaki T. (1983)
10.1016/0001-6160(61)90155-9
10.1063/1.446194
10.1007/BF01308403
10.1021/ma60064a015
10.1002/pen.760220204
10.1063/1.445679
10.1063/1.451308

Dates

Type	When
Created	22 years, 4 months ago (April 18, 2003, 4:06 p.m.)
Deposited	1 year, 10 months ago (Oct. 22, 2023, 2:51 a.m.)
Indexed	11 months ago (Sept. 16, 2024, 2:35 p.m.)
Issued	36 years, 1 month ago (July 1, 1989)
Published	36 years, 1 month ago (July 1, 1989)
Published Online	22 years, 5 months ago (March 11, 2003)
Published Print	36 years, 1 month ago (July 1, 1989)

Funders 0

None

BibTeX

@article{Ohnaga_1989, title={Growth and decay of concentration fluctuations in polymer–polymer mixtures}, volume={27}, ISSN={1099-0488}, url={http://dx.doi.org/10.1002/polb.1989.090270807}, DOI={10.1002/polb.1989.090270807}, number={8}, journal={Journal of Polymer Science Part B: Polymer Physics}, publisher={Wiley}, author={Ohnaga, Takashi and Inoue, Takashi}, year={1989}, month=jul, pages={1675–1689} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        9,
        16
      ]
    ],
    "date-time": "2024-09-16T18:35:28Z",
    "timestamp": 1726511728938
  },
  "reference-count": 33,
  "publisher": "Wiley",
  "issue": "8",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2003,
            3,
            11
          ]
        ],
        "date-time": "2003-03-11T00:00:00Z",
        "timestamp": 1047340800000
      },
      "content-version": "vor",
      "delay-in-days": 5001,
      "URL": "http://onlinelibrary.wiley.com/termsAndConditions#vor"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1989,
        7
      ]
    ]
  },
  "abstract": "<jats:title>Abstract</jats:title><jats:p>A computer simulation based on the Cahn\u2013Hilliard nonlinear diffusion equation, developed in the field of metallurgy, is applied to the demixing behavior of a polymer\u2013polymer mixture. The simulation is a one\u2010dimensional version. Spatially periodic concentration fluctuations appear at a very early stage and evolve with the wave number almost constant. Later some waves are absorbed into neighboring ones, resulting in a decrease in the average wave number of the concentration fluctuation. Thus, characteristic phenomena in the demixing are successfully described by the computer simulation. Furthermore, the simulated time variation of wave number agrees with experimental results in the literature. The analysis is extended to two\u2010step quenching: after a homogeneous mixture undergoes the first temperature\u2010jump from the single\u2010phase region to the two\u2010phase region of the phase diagram, the system is allowed to demix isothermally for a time, and then the demixed system undergoes the second jump to deeper or shallower quench. When the quench depth of the second jump (\u0394<jats:italic>T</jats:italic><jats:sub>2</jats:sub>) is smaller than half the first depth (\u0394<jats:italic>T</jats:italic><jats:sub>1</jats:sub>), the concentration fluctuation as developed under \u0394<jats:italic>T</jats:italic><jats:sub>1</jats:sub> decays with time after the second jump. When \u0394<jats:italic>T</jats:italic><jats:sub>2</jats:sub> is between \u0394<jats:italic>T</jats:italic><jats:sub>1</jats:sub> and (\u0394<jats:italic>T</jats:italic><jats:sub>1</jats:sub>/2), the fluctuation decays slightly after the second jump and then increases. When the second jump is to a deeper quench (\u0394<jats:italic>T</jats:italic><jats:sub>2</jats:sub> &gt; \u0394<jats:italic>T</jats:italic><jats:sub>1</jats:sub>), a new fluctuation of short wavelength is superimposed on the previously developed one.</jats:p>",
  "DOI": "10.1002/polb.1989.090270807",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2003,
        4,
        18
      ]
    ],
    "date-time": "2003-04-18T20:06:30Z",
    "timestamp": 1050696390000
  },
  "page": "1675-1689",
  "source": "Crossref",
  "is-referenced-by-count": 10,
  "title": "Growth and decay of concentration fluctuations in polymer\u2013polymer mixtures",
  "prefix": "10.1002",
  "volume": "27",
  "author": [
    {
      "given": "Takashi",
      "family": "Ohnaga",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Takashi",
      "family": "Inoue",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "311",
  "published-online": {
    "date-parts": [
      [
        2003,
        3,
        11
      ]
    ]
  },
  "reference": [
    {
      "key": "e_1_2_1_2_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00238a030"
    },
    {
      "key": "e_1_2_1_3_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00239a011"
    },
    {
      "key": "e_1_2_1_4_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.449124"
    },
    {
      "key": "e_1_2_1_5_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.451675"
    },
    {
      "key": "e_1_2_1_6_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00169a029"
    },
    {
      "key": "e_1_2_1_7_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.451477"
    },
    {
      "key": "e_1_2_1_8_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.451409"
    },
    {
      "key": "e_1_2_1_9_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00175a034"
    },
    {
      "key": "e_1_2_1_10_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma60044a025"
    },
    {
      "key": "e_1_2_1_11_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/polb.1986.090240401"
    },
    {
      "key": "e_1_2_1_12_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00160a036"
    },
    {
      "key": "e_1_2_1_13_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/pol.1982.180201205"
    },
    {
      "key": "e_1_2_1_14_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ba-1975-0142.ch005"
    },
    {
      "key": "e_1_2_1_15_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.1695731"
    },
    {
      "key": "e_1_2_1_16_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0001-6160(70)90144-6"
    },
    {
      "key": "e_1_2_1_17_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.445747"
    },
    {
      "key": "e_1_2_1_18_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00145a041"
    },
    {
      "key": "e_1_2_1_19_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRevA.11.1417"
    },
    {
      "key": "e_1_2_1_20_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRevLett.33.1006"
    },
    {
      "key": "e_1_2_1_21_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRevA.20.595"
    },
    {
      "key": "e_1_2_1_22_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0022-3697(61)90054-3"
    },
    {
      "key": "e_1_2_1_23_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1143/PTP.59.362"
    },
    {
      "key": "e_1_2_1_24_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1080/00018738500101841"
    },
    {
      "key": "e_1_2_1_25_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma00143a009"
    },
    {
      "key": "e_1_2_1_26_2",
      "unstructured": "K.Yamanaka andT.Inoue Polymer in press."
    },
    {
      "key": "e_1_2_1_27_2",
      "doi-asserted-by": "crossref",
      "first-page": "246",
      "DOI": "10.2320/matertrans1960.24.246",
      "volume": "24",
      "author": "Miyazaki T.",
      "year": "1983",
      "journal-title": "Trans JIM"
    },
    {
      "key": "e_1_2_1_28_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0001-6160(61)90155-9"
    },
    {
      "key": "e_1_2_1_29_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.446194"
    },
    {
      "key": "e_1_2_1_30_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1007/BF01308403"
    },
    {
      "key": "e_1_2_1_31_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1021/ma60064a015"
    },
    {
      "key": "e_1_2_1_32_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/pen.760220204"
    },
    {
      "key": "e_1_2_1_33_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.445679"
    },
    {
      "key": "e_1_2_1_34_2",
      "doi-asserted-by": "publisher",
      "DOI": "10.1063/1.451308"
    }
  ],
  "container-title": "Journal of Polymer Science Part B: Polymer Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fpolb.1989.090270807",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://onlinelibrary.wiley.com/doi/pdf/10.1002/polb.1989.090270807",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2023,
        10,
        22
      ]
    ],
    "date-time": "2023-10-22T06:51:33Z",
    "timestamp": 1697957493000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://onlinelibrary.wiley.com/doi/10.1002/polb.1989.090270807"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1989,
        7
      ]
    ]
  },
  "references-count": 33,
  "journal-issue": {
    "issue": "8",
    "published-print": {
      "date-parts": [
        [
          1989,
          7
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1002/polb.1989.090270807"
  ],
  "URL": "http://dx.doi.org/10.1002/polb.1989.090270807",
  "relation": {},
  "ISSN": [
    "0887-6266",
    "1099-0488"
  ],
  "subject": [],
  "container-title-short": "J Polym Sci B Polym Phys",
  "published": {
    "date-parts": [
      [
        1989,
        7
      ]
    ]
  }
}