Block Copolymers in High-Frequency Electric Field: Mean-Field Approximation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2022-02-09

AUTHORS

I. Ya. Erukhimovich, Yu. A. Kriksin, Y. V. Kudryavtsev

ABSTRACT

The problem of self-assembly in a block copolymer melt placed in a high-frequency AC field is addressed. It is assumed that the melt is a dielectric medium that transforms into a new ordered state under exposure to the external field. The mean-field approach is used as a theoretical description method. It is shown that in the zero approximation the impact of the AC electric field on the melt is equivalent to the impact of the DC electric field with the squared strength equal to the constant component of the AC electric field strength squared. In addition, in the first approximation relative to the electric field oscillation period melt elements perform small oscillations about a new position of equilibrium with the double electric field frequency. More... »

PAGES

121-127

References to SciGraph publications

  • 1994. Phase transitions in polymer blends and block copolymer melts: Some recent developments in THEORIES AND MECHANISM OF PHASE TRANSITIONS, HETEROPHASE POLYMERIZATIONS, HOMOPOLYMERIZATION, ADDITION POLYMERIZATION
  • 1987. Statistical Thermodynamics of Nonequilibrium Processes in NONE
  • 2009-12-03. Fast and accurate SCFT calculations for periodic block-copolymer morphologies using the spectral method with Anderson mixing in THE EUROPEAN PHYSICAL JOURNAL E
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0965545x22020079

    DOI

    http://dx.doi.org/10.1134/s0965545x22020079

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1145408353


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0912", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Materials Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia", 
              "id": "http://www.grid.ac/institutes/grid.423490.8", 
              "name": [
                "Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, 119991, Moscow, Russia", 
                "Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Erukhimovich", 
            "givenName": "I. Ya.", 
            "id": "sg:person.0617467055.46", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0617467055.46"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia", 
              "id": "http://www.grid.ac/institutes/grid.423490.8", 
              "name": [
                "Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia", 
                "Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kriksin", 
            "givenName": "Yu. A.", 
            "id": "sg:person.01274757755.11", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01274757755.11"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia", 
              "id": "http://www.grid.ac/institutes/grid.423490.8", 
              "name": [
                "Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kudryavtsev", 
            "givenName": "Y. V.", 
            "id": "sg:person.01132407666.00", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01132407666.00"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1140/epje/i2009-10534-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024502811", 
              "https://doi.org/10.1140/epje/i2009-10534-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0017984", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036712004", 
              "https://doi.org/10.1007/bfb0017984"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-1054-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029747790", 
              "https://doi.org/10.1007/978-1-4612-1054-2"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2022-02-09", 
        "datePublishedReg": "2022-02-09", 
        "description": "The problem of self-assembly in a block copolymer melt placed in a high-frequency AC field is addressed. It is assumed that the melt is a dielectric medium that transforms into a new ordered state under exposure to the external field. The mean-field approach is used as a theoretical description method. It is shown that in the zero approximation the impact of the AC electric field on the melt is equivalent to the impact of the DC electric field with the squared strength equal to the constant component of the AC electric field strength squared. In addition, in the first approximation relative to the electric field oscillation period melt elements perform small oscillations about a new position of equilibrium with the double electric field frequency.", 
        "genre": "article", 
        "id": "sg:pub.10.1134/s0965545x22020079", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1043515", 
            "issn": [
              "1757-1820", 
              "1555-6107"
            ], 
            "name": "Polymer Science, Series A", 
            "publisher": "Pleiades Publishing", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "64"
          }
        ], 
        "keywords": [
          "electric field", 
          "AC electric field strength", 
          "electric field frequency", 
          "high-frequency ac field", 
          "AC electric field", 
          "DC electric field", 
          "frequency electric field", 
          "electric field strength", 
          "melt element", 
          "ac field", 
          "field frequency", 
          "dielectric medium", 
          "field strength", 
          "melt", 
          "strength", 
          "small oscillations", 
          "block copolymer melts", 
          "external field", 
          "field", 
          "block copolymers", 
          "constant component", 
          "mean-field approximation", 
          "first approximation", 
          "mean-field approach", 
          "description method", 
          "copolymer melts", 
          "approximation", 
          "oscillations", 
          "copolymers", 
          "frequency", 
          "method", 
          "elements", 
          "components", 
          "impact", 
          "new position", 
          "problem", 
          "equilibrium", 
          "addition", 
          "approach", 
          "medium", 
          "position", 
          "state", 
          "exposure"
        ], 
        "name": "Block Copolymers in High-Frequency Electric Field: Mean-Field Approximation", 
        "pagination": "121-127", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1145408353"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1134/s0965545x22020079"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1134/s0965545x22020079", 
          "https://app.dimensions.ai/details/publication/pub.1145408353"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-06-01T22:23", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220601/entities/gbq_results/article/article_931.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1134/s0965545x22020079"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1134/s0965545x22020079'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s0965545x22020079'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s0965545x22020079'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s0965545x22020079'


     

    This table displays all metadata directly associated to this object as RDF triples.

    129 TRIPLES      22 PREDICATES      71 URIs      60 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1134/s0965545x22020079 schema:about anzsrc-for:09
    2 anzsrc-for:0912
    3 schema:author N06ff6921d1da4d51973d1ed624de796f
    4 schema:citation sg:pub.10.1007/978-1-4612-1054-2
    5 sg:pub.10.1007/bfb0017984
    6 sg:pub.10.1140/epje/i2009-10534-3
    7 schema:datePublished 2022-02-09
    8 schema:datePublishedReg 2022-02-09
    9 schema:description The problem of self-assembly in a block copolymer melt placed in a high-frequency AC field is addressed. It is assumed that the melt is a dielectric medium that transforms into a new ordered state under exposure to the external field. The mean-field approach is used as a theoretical description method. It is shown that in the zero approximation the impact of the AC electric field on the melt is equivalent to the impact of the DC electric field with the squared strength equal to the constant component of the AC electric field strength squared. In addition, in the first approximation relative to the electric field oscillation period melt elements perform small oscillations about a new position of equilibrium with the double electric field frequency.
    10 schema:genre article
    11 schema:inLanguage en
    12 schema:isAccessibleForFree false
    13 schema:isPartOf Na978c39c43524dc18900f008eda4b42c
    14 Ne40dcca7df71449aa15051497ea52ee9
    15 sg:journal.1043515
    16 schema:keywords AC electric field
    17 AC electric field strength
    18 DC electric field
    19 ac field
    20 addition
    21 approach
    22 approximation
    23 block copolymer melts
    24 block copolymers
    25 components
    26 constant component
    27 copolymer melts
    28 copolymers
    29 description method
    30 dielectric medium
    31 electric field
    32 electric field frequency
    33 electric field strength
    34 elements
    35 equilibrium
    36 exposure
    37 external field
    38 field
    39 field frequency
    40 field strength
    41 first approximation
    42 frequency
    43 frequency electric field
    44 high-frequency ac field
    45 impact
    46 mean-field approach
    47 mean-field approximation
    48 medium
    49 melt
    50 melt element
    51 method
    52 new position
    53 oscillations
    54 position
    55 problem
    56 small oscillations
    57 state
    58 strength
    59 schema:name Block Copolymers in High-Frequency Electric Field: Mean-Field Approximation
    60 schema:pagination 121-127
    61 schema:productId N11a694d0e4e44e698ad890e0882d80ea
    62 N1bf503a5d4fc4e34bfa87bfcd2851c72
    63 schema:sameAs https://app.dimensions.ai/details/publication/pub.1145408353
    64 https://doi.org/10.1134/s0965545x22020079
    65 schema:sdDatePublished 2022-06-01T22:23
    66 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    67 schema:sdPublisher Neb02ad1e7d4f49c3874f0d88af053697
    68 schema:url https://doi.org/10.1134/s0965545x22020079
    69 sgo:license sg:explorer/license/
    70 sgo:sdDataset articles
    71 rdf:type schema:ScholarlyArticle
    72 N06ff6921d1da4d51973d1ed624de796f rdf:first sg:person.0617467055.46
    73 rdf:rest N8ebec40669b441beb3dd35d158b16d95
    74 N11a694d0e4e44e698ad890e0882d80ea schema:name dimensions_id
    75 schema:value pub.1145408353
    76 rdf:type schema:PropertyValue
    77 N1bf503a5d4fc4e34bfa87bfcd2851c72 schema:name doi
    78 schema:value 10.1134/s0965545x22020079
    79 rdf:type schema:PropertyValue
    80 N8ebec40669b441beb3dd35d158b16d95 rdf:first sg:person.01274757755.11
    81 rdf:rest Nf0af75c970cc4c3fa1c368ec8b796d53
    82 Na978c39c43524dc18900f008eda4b42c schema:issueNumber 2
    83 rdf:type schema:PublicationIssue
    84 Ne40dcca7df71449aa15051497ea52ee9 schema:volumeNumber 64
    85 rdf:type schema:PublicationVolume
    86 Neb02ad1e7d4f49c3874f0d88af053697 schema:name Springer Nature - SN SciGraph project
    87 rdf:type schema:Organization
    88 Nf0af75c970cc4c3fa1c368ec8b796d53 rdf:first sg:person.01132407666.00
    89 rdf:rest rdf:nil
    90 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    91 schema:name Engineering
    92 rdf:type schema:DefinedTerm
    93 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
    94 schema:name Materials Engineering
    95 rdf:type schema:DefinedTerm
    96 sg:journal.1043515 schema:issn 1555-6107
    97 1757-1820
    98 schema:name Polymer Science, Series A
    99 schema:publisher Pleiades Publishing
    100 rdf:type schema:Periodical
    101 sg:person.01132407666.00 schema:affiliation grid-institutes:grid.423490.8
    102 schema:familyName Kudryavtsev
    103 schema:givenName Y. V.
    104 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01132407666.00
    105 rdf:type schema:Person
    106 sg:person.01274757755.11 schema:affiliation grid-institutes:grid.423490.8
    107 schema:familyName Kriksin
    108 schema:givenName Yu. A.
    109 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01274757755.11
    110 rdf:type schema:Person
    111 sg:person.0617467055.46 schema:affiliation grid-institutes:grid.423490.8
    112 schema:familyName Erukhimovich
    113 schema:givenName I. Ya.
    114 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0617467055.46
    115 rdf:type schema:Person
    116 sg:pub.10.1007/978-1-4612-1054-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029747790
    117 https://doi.org/10.1007/978-1-4612-1054-2
    118 rdf:type schema:CreativeWork
    119 sg:pub.10.1007/bfb0017984 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036712004
    120 https://doi.org/10.1007/bfb0017984
    121 rdf:type schema:CreativeWork
    122 sg:pub.10.1140/epje/i2009-10534-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024502811
    123 https://doi.org/10.1140/epje/i2009-10534-3
    124 rdf:type schema:CreativeWork
    125 grid-institutes:grid.423490.8 schema:alternateName Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia
    126 schema:name Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
    127 Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, 119991, Moscow, Russia
    128 Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991, Moscow, Russia
    129 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...