Universality in boundary domain growth by sudden bridging View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-02-22

AUTHORS

A. A. Saberi, S. H. Ebrahimnazhad Rahbari, H. Dashti-Naserabadi, A. Abbasi, Y. S. Cho, J. Nagler

ABSTRACT

We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of the boundary domains. For two-dimensional square lattices of linear dimension L, independent of the models studied here, we find that the maximum of the boundary interface width, the susceptibility χ, exhibits the scaling χ ~ L(γ) with the universal exponent γ = 1. The rapid growth of the boundary domain at the percolation threshold, which is guaranteed to occur for almost any cluster percolation process, underlies the the universal scaling of χ. More... »

PAGES

21110

References to SciGraph publications

  • 2013-07-26. Crackling noise in fractional percolation in NATURE COMMUNICATIONS
  • 2015-07-01. Anomalous critical and supercritical phenomena in explosive percolation in NATURE PHYSICS
  • 1983-06. Coagulation equations with gelation in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1038/srep21110

    DOI

    http://dx.doi.org/10.1038/srep21110

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1036630335

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/26899304


    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/2008/08", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Information and Computing Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0801", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Artificial Intelligence and Image Processing", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "School of Physics and Accelerators, Institute for research in Fundamental Science (IPM), P.O. 19395-5531, Tehran, Iran", 
              "id": "http://www.grid.ac/institutes/grid.418744.a", 
              "name": [
                "Department of Physics, University of Tehran, P.O. Box 14395-547,Tehran, Iran", 
                "School of Physics and Accelerators, Institute for research in Fundamental Science (IPM), P.O. 19395-5531, Tehran, Iran"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Saberi", 
            "givenName": "A. A.", 
            "id": "sg:person.0636374542.84", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0636374542.84"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran", 
              "id": "http://www.grid.ac/institutes/grid.412502.0", 
              "name": [
                "School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea", 
                "Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Rahbari", 
            "givenName": "S. H. Ebrahimnazhad", 
            "id": "sg:person.01322026715.66", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01322026715.66"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Physics, Plasma and Condensed Matter Computational Laboratory, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran", 
              "id": "http://www.grid.ac/institutes/grid.411468.e", 
              "name": [
                "Department of Physics, Plasma and Condensed Matter Computational Laboratory, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Dashti-Naserabadi", 
            "givenName": "H.", 
            "id": "sg:person.01166003414.21", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01166003414.21"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Physics and Accelerators Research School, NSRTI 11365-3486, Tehran, Iran", 
              "id": "http://www.grid.ac/institutes/None", 
              "name": [
                "Physics and Accelerators Research School, NSRTI 11365-3486, Tehran, Iran"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Abbasi", 
            "givenName": "A.", 
            "id": "sg:person.014133055621.61", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014133055621.61"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea", 
              "id": "http://www.grid.ac/institutes/grid.31501.36", 
              "name": [
                "Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Cho", 
            "givenName": "Y. S.", 
            "id": "sg:person.01351312636.70", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01351312636.70"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Computational Physics, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland", 
              "id": "http://www.grid.ac/institutes/grid.5801.c", 
              "name": [
                "Computational Physics, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Nagler", 
            "givenName": "J.", 
            "id": "sg:person.0615513231.04", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0615513231.04"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1038/ncomms3222", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032277675", 
              "https://doi.org/10.1038/ncomms3222"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/nphys3378", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017255190", 
              "https://doi.org/10.1038/nphys3378"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01019497", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045307649", 
              "https://doi.org/10.1007/bf01019497"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-02-22", 
        "datePublishedReg": "2016-02-22", 
        "description": "We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of the boundary domains. For two-dimensional square lattices of linear dimension L, independent of the models studied here, we find that the maximum of the boundary interface width, the susceptibility \u03c7, exhibits the scaling \u03c7\u2009~\u2009L(\u03b3) with the universal exponent \u03b3\u2009=\u20091. The rapid growth of the boundary domain at the percolation threshold, which is guaranteed to occur for almost any cluster percolation process, underlies the the universal scaling of \u03c7. ", 
        "genre": "article", 
        "id": "sg:pub.10.1038/srep21110", 
        "inLanguage": "en", 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1045337", 
            "issn": [
              "2045-2322"
            ], 
            "name": "Scientific Reports", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "6"
          }
        ], 
        "keywords": [
          "linear dimension L", 
          "two-dimensional square lattice", 
          "percolation process", 
          "domain growth", 
          "dimension L", 
          "square lattice", 
          "boundary domain", 
          "susceptibility \u03c7", 
          "exponent \u03b3", 
          "universal scaling", 
          "percolation threshold", 
          "interface width", 
          "scaling", 
          "cluster aggregation", 
          "universality", 
          "lattice", 
          "sudden growth", 
          "clusters", 
          "model", 
          "domain", 
          "limit", 
          "width", 
          "diffusivity", 
          "maximum", 
          "process", 
          "threshold", 
          "rapid growth", 
          "growth", 
          "aggregation", 
          "concentration", 
          "maximum concentration", 
          "bridging", 
          "maximal concentration", 
          "boundary domain growth", 
          "boundary interface width", 
          "universal exponent \u03b3", 
          "cluster percolation process", 
          "sudden bridging"
        ], 
        "name": "Universality in boundary domain growth by sudden bridging", 
        "pagination": "21110", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1036630335"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1038/srep21110"
            ]
          }, 
          {
            "name": "pubmed_id", 
            "type": "PropertyValue", 
            "value": [
              "26899304"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1038/srep21110", 
          "https://app.dimensions.ai/details/publication/pub.1036630335"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2021-12-01T19:37", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_700.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1038/srep21110"
      }
    ]
     

    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.10.1038/srep21110'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1038/srep21110'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1038/srep21110'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1038/srep21110'


     

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

    163 TRIPLES      22 PREDICATES      67 URIs      56 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1038/srep21110 schema:about anzsrc-for:08
    2 anzsrc-for:0801
    3 schema:author N13740f8a88814ce089a816b304e64271
    4 schema:citation sg:pub.10.1007/bf01019497
    5 sg:pub.10.1038/ncomms3222
    6 sg:pub.10.1038/nphys3378
    7 schema:datePublished 2016-02-22
    8 schema:datePublishedReg 2016-02-22
    9 schema:description We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of the boundary domains. For two-dimensional square lattices of linear dimension L, independent of the models studied here, we find that the maximum of the boundary interface width, the susceptibility χ, exhibits the scaling χ ~ L(γ) with the universal exponent γ = 1. The rapid growth of the boundary domain at the percolation threshold, which is guaranteed to occur for almost any cluster percolation process, underlies the the universal scaling of χ.
    10 schema:genre article
    11 schema:inLanguage en
    12 schema:isAccessibleForFree true
    13 schema:isPartOf N4ea4a2b8db1d4a0bb8202c8b618752d1
    14 N666bbc7e6f6946b3822de102cda630f6
    15 sg:journal.1045337
    16 schema:keywords aggregation
    17 boundary domain
    18 boundary domain growth
    19 boundary interface width
    20 bridging
    21 cluster aggregation
    22 cluster percolation process
    23 clusters
    24 concentration
    25 diffusivity
    26 dimension L
    27 domain
    28 domain growth
    29 exponent γ
    30 growth
    31 interface width
    32 lattice
    33 limit
    34 linear dimension L
    35 maximal concentration
    36 maximum
    37 maximum concentration
    38 model
    39 percolation process
    40 percolation threshold
    41 process
    42 rapid growth
    43 scaling
    44 square lattice
    45 sudden bridging
    46 sudden growth
    47 susceptibility χ
    48 threshold
    49 two-dimensional square lattice
    50 universal exponent γ
    51 universal scaling
    52 universality
    53 width
    54 schema:name Universality in boundary domain growth by sudden bridging
    55 schema:pagination 21110
    56 schema:productId N71d283a8d6a6406988975586a31600c3
    57 Na40ec65e817549c39a9d5a22248b3160
    58 Nd21fb97e83784c349b6741cac7a39ccd
    59 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036630335
    60 https://doi.org/10.1038/srep21110
    61 schema:sdDatePublished 2021-12-01T19:37
    62 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    63 schema:sdPublisher Nd28bd681253a480a88265df85903d648
    64 schema:url https://doi.org/10.1038/srep21110
    65 sgo:license sg:explorer/license/
    66 sgo:sdDataset articles
    67 rdf:type schema:ScholarlyArticle
    68 N1048cd54f91a4ded87c1043848605d25 rdf:first sg:person.0615513231.04
    69 rdf:rest rdf:nil
    70 N13740f8a88814ce089a816b304e64271 rdf:first sg:person.0636374542.84
    71 rdf:rest N2d3e8112f5c34afab8f016e4df8b725c
    72 N2d3e8112f5c34afab8f016e4df8b725c rdf:first sg:person.01322026715.66
    73 rdf:rest N48d5f9b52c7248a3a547112fa7cb67fa
    74 N48d5f9b52c7248a3a547112fa7cb67fa rdf:first sg:person.01166003414.21
    75 rdf:rest N61740f47e6304643ac592c26b3db1c24
    76 N4ea4a2b8db1d4a0bb8202c8b618752d1 schema:volumeNumber 6
    77 rdf:type schema:PublicationVolume
    78 N61740f47e6304643ac592c26b3db1c24 rdf:first sg:person.014133055621.61
    79 rdf:rest Nab3f1c7920774b3492526b58b8679bca
    80 N666bbc7e6f6946b3822de102cda630f6 schema:issueNumber 1
    81 rdf:type schema:PublicationIssue
    82 N71d283a8d6a6406988975586a31600c3 schema:name doi
    83 schema:value 10.1038/srep21110
    84 rdf:type schema:PropertyValue
    85 Na40ec65e817549c39a9d5a22248b3160 schema:name dimensions_id
    86 schema:value pub.1036630335
    87 rdf:type schema:PropertyValue
    88 Nab3f1c7920774b3492526b58b8679bca rdf:first sg:person.01351312636.70
    89 rdf:rest N1048cd54f91a4ded87c1043848605d25
    90 Nd21fb97e83784c349b6741cac7a39ccd schema:name pubmed_id
    91 schema:value 26899304
    92 rdf:type schema:PropertyValue
    93 Nd28bd681253a480a88265df85903d648 schema:name Springer Nature - SN SciGraph project
    94 rdf:type schema:Organization
    95 anzsrc-for:08 schema:inDefinedTermSet anzsrc-for:
    96 schema:name Information and Computing Sciences
    97 rdf:type schema:DefinedTerm
    98 anzsrc-for:0801 schema:inDefinedTermSet anzsrc-for:
    99 schema:name Artificial Intelligence and Image Processing
    100 rdf:type schema:DefinedTerm
    101 sg:journal.1045337 schema:issn 2045-2322
    102 schema:name Scientific Reports
    103 schema:publisher Springer Nature
    104 rdf:type schema:Periodical
    105 sg:person.01166003414.21 schema:affiliation grid-institutes:grid.411468.e
    106 schema:familyName Dashti-Naserabadi
    107 schema:givenName H.
    108 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01166003414.21
    109 rdf:type schema:Person
    110 sg:person.01322026715.66 schema:affiliation grid-institutes:grid.412502.0
    111 schema:familyName Rahbari
    112 schema:givenName S. H. Ebrahimnazhad
    113 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01322026715.66
    114 rdf:type schema:Person
    115 sg:person.01351312636.70 schema:affiliation grid-institutes:grid.31501.36
    116 schema:familyName Cho
    117 schema:givenName Y. S.
    118 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01351312636.70
    119 rdf:type schema:Person
    120 sg:person.014133055621.61 schema:affiliation grid-institutes:None
    121 schema:familyName Abbasi
    122 schema:givenName A.
    123 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014133055621.61
    124 rdf:type schema:Person
    125 sg:person.0615513231.04 schema:affiliation grid-institutes:grid.5801.c
    126 schema:familyName Nagler
    127 schema:givenName J.
    128 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0615513231.04
    129 rdf:type schema:Person
    130 sg:person.0636374542.84 schema:affiliation grid-institutes:grid.418744.a
    131 schema:familyName Saberi
    132 schema:givenName A. A.
    133 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0636374542.84
    134 rdf:type schema:Person
    135 sg:pub.10.1007/bf01019497 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045307649
    136 https://doi.org/10.1007/bf01019497
    137 rdf:type schema:CreativeWork
    138 sg:pub.10.1038/ncomms3222 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032277675
    139 https://doi.org/10.1038/ncomms3222
    140 rdf:type schema:CreativeWork
    141 sg:pub.10.1038/nphys3378 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017255190
    142 https://doi.org/10.1038/nphys3378
    143 rdf:type schema:CreativeWork
    144 grid-institutes:None schema:alternateName Physics and Accelerators Research School, NSRTI 11365-3486, Tehran, Iran
    145 schema:name Physics and Accelerators Research School, NSRTI 11365-3486, Tehran, Iran
    146 rdf:type schema:Organization
    147 grid-institutes:grid.31501.36 schema:alternateName Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea
    148 schema:name Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea
    149 rdf:type schema:Organization
    150 grid-institutes:grid.411468.e schema:alternateName Department of Physics, Plasma and Condensed Matter Computational Laboratory, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran
    151 schema:name Department of Physics, Plasma and Condensed Matter Computational Laboratory, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran
    152 rdf:type schema:Organization
    153 grid-institutes:grid.412502.0 schema:alternateName Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran
    154 schema:name Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran
    155 School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea
    156 rdf:type schema:Organization
    157 grid-institutes:grid.418744.a schema:alternateName School of Physics and Accelerators, Institute for research in Fundamental Science (IPM), P.O. 19395-5531, Tehran, Iran
    158 schema:name Department of Physics, University of Tehran, P.O. Box 14395-547,Tehran, Iran
    159 School of Physics and Accelerators, Institute for research in Fundamental Science (IPM), P.O. 19395-5531, Tehran, Iran
    160 rdf:type schema:Organization
    161 grid-institutes:grid.5801.c schema:alternateName Computational Physics, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland
    162 schema:name Computational Physics, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland
    163 rdf:type schema:Organization
     




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


    ...