Monte Carlo renormalization of hard sphere polymer chains in two to five dimensions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1981-12

AUTHORS

K. Kremer, A. Baumgärtner, K. Binder

ABSTRACT

A renormalization group for polymer chains with hard-core interaction is considered, where a chain ofN0 links of lengthl0 and hard-core diameterh0 is mapped onto a chain ofN1=N0/s links of lengthl1 and hard-core diameterh1. The lengthl1 is defined in terms of suitable interior distances of the original chain, andh1 is found from the condition that the end-to-end distance is left invariant. This renormalization group procedure is carried through by various Monte-Carlo methods (simple sampling is found advantageous for short enough chains or high dimensionalities, while dynamic methods involving “kinkjumps” or “reptation” are used else). Particular attention is paid to investigate systematic errors of the method by checking the dependence of the results on bothN0 ands. It is found that for dimensionalitiesd=2, 3 only the nontrivial fixed-point is stable, where upon iteration the ratio δk=hk/lk tends to nonzero fixed-point value δ*, while ford=4,5 the method converges to the gaussian fixed point with δ*=0. Taking both statistical and systematic errors into account, we estimate the exponentv asv=0.74±0.01 (d=2) andv =0.59±0.01 (d=3). The results are consistent with the expected crossover exponents ϕ =1/2 (d=3) and ϕ=1 (d=2), respectively. More... »

PAGES

331-341

References to SciGraph publications

  • 1977-12. Application of the Monte Carlo method for evaluating the Niemeijer-van Leeuwen cumulant expansion in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
  • 1977-07. Theoretical methods of polymer statistics in LA RIVISTA DEL NUOVO CIMENTO (1971-1977)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01292850

    DOI

    http://dx.doi.org/10.1007/bf01292850

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1041787225


    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/2008/0104", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Statistics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "name": [
                "Institut f\u00fcr Theoretische Physik, Universit\u00e4t zu K\u00f6ln, Z\u00fclpicher Stra\u00dfe 77, D-5000, Federal Republic of Germany"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kremer", 
            "givenName": "K.", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "name": [
                "Institut f\u00fcr Festk\u00f6rperforschung der Kernforschungsanlage, Postfach 1913, D-5170, J\u00fclich, Federal Republic of Germany"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Baumg\u00e4rtner", 
            "givenName": "A.", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "name": [
                "Institut f\u00fcr Festk\u00f6rperforschung der Kernforschungsanlage, Postfach 1913, D-5170, J\u00fclich, Federal Republic of Germany"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Binder", 
            "givenName": "K.", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/0375-9601(75)90031-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007853465"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0375-9601(75)90031-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007853465"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0375-9601(73)90799-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013227348"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0375-9601(73)90799-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013227348"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02747277", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017467626", 
              "https://doi.org/10.1007/bf02747277"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/9780470143605.ch13", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026673982"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0032-3861(76)90096-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035183760"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0032-3861(76)90096-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035183760"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01317255", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047672573", 
              "https://doi.org/10.1007/bf01317255"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01317255", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047672573", 
              "https://doi.org/10.1007/bf01317255"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0032-3861(74)90121-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049077422"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0032-3861(74)90121-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049077422"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-1573(76)90028-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052856063"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-1573(76)90028-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052856063"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1021/ma60032a021", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1056200061"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1051/jphys:01976003707-8097300", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1056989680"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1051/jphys:01980004106057900", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1056990310"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1051/jphyslet:0197500360305500", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057008558"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1051/jphyslet:01978003909012300", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057008926"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.438608", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058016637"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.439242", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058017271"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.440359", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058018388"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/13/3/002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059065143"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/13/5/038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059065263"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.15.5317", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060522550"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.15.5317", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060522550"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.18.5099", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060524510"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.18.5099", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060524510"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.19.2749", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060525053"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.19.2749", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060525053"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.19.4584", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060525289"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.19.4584", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060525289"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.20.2077", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060526386"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.20.2077", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060526386"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.21.1223", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060526907"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.21.1223", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060526907"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.21.5540", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060527452"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.21.5540", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060527452"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.8.434", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060707818"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.8.434", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060707818"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.37.461", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060780902"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.37.461", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060780902"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.39.95", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060782102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.39.95", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060782102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.40.1605", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060782549"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.40.1605", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060782549"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.42.859", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060783971"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.42.859", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060783971"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.43.177", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060784285"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.43.177", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060784285"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.43.799", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060784574"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.43.799", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060784574"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.46.597", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060838772"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.46.597", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060838772"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1143/jpsj.47.683", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1063104684"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1981-12", 
        "datePublishedReg": "1981-12-01", 
        "description": "A renormalization group for polymer chains with hard-core interaction is considered, where a chain ofN0 links of lengthl0 and hard-core diameterh0 is mapped onto a chain ofN1=N0/s links of lengthl1 and hard-core diameterh1. The lengthl1 is defined in terms of suitable interior distances of the original chain, andh1 is found from the condition that the end-to-end distance is left invariant. This renormalization group procedure is carried through by various Monte-Carlo methods (simple sampling is found advantageous for short enough chains or high dimensionalities, while dynamic methods involving \u201ckinkjumps\u201d or \u201creptation\u201d are used else). Particular attention is paid to investigate systematic errors of the method by checking the dependence of the results on bothN0 ands. It is found that for dimensionalitiesd=2, 3 only the nontrivial fixed-point is stable, where upon iteration the ratio \u03b4k=hk/lk tends to nonzero fixed-point value \u03b4*, while ford=4,5 the method converges to the gaussian fixed point with \u03b4*=0. Taking both statistical and systematic errors into account, we estimate the exponentv asv=0.74\u00b10.01 (d=2) andv =0.59\u00b10.01 (d=3). The results are consistent with the expected crossover exponents \u03d5 =1/2 (d=3) and \u03d5=1 (d=2), respectively.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf01292850", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1285002", 
            "issn": [
              "0722-3277", 
              "1431-584X"
            ], 
            "name": "Zeitschrift f\u00fcr Physik B Condensed Matter", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "4", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "40"
          }
        ], 
        "name": "Monte Carlo renormalization of hard sphere polymer chains in two to five dimensions", 
        "pagination": "331-341", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "c70e72357394b73c68dde3619555c06e762bbf272a69a33ce0ca250543dcfcb3"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01292850"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1041787225"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01292850", 
          "https://app.dimensions.ai/details/publication/pub.1041787225"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:30", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000370_0000000370/records_46751_00000002.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF01292850"
      }
    ]
     

    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.10.1007/bf01292850'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf01292850'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01292850'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01292850'


     

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

    179 TRIPLES      21 PREDICATES      61 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01292850 schema:about anzsrc-for:01
    2 anzsrc-for:0104
    3 schema:author N0281afa1c6ef4b7a90b4f53664a3ad7f
    4 schema:citation sg:pub.10.1007/bf01317255
    5 sg:pub.10.1007/bf02747277
    6 https://doi.org/10.1002/9780470143605.ch13
    7 https://doi.org/10.1016/0032-3861(74)90121-9
    8 https://doi.org/10.1016/0032-3861(76)90096-3
    9 https://doi.org/10.1016/0370-1573(76)90028-4
    10 https://doi.org/10.1016/0375-9601(73)90799-8
    11 https://doi.org/10.1016/0375-9601(75)90031-6
    12 https://doi.org/10.1021/ma60032a021
    13 https://doi.org/10.1051/jphys:01976003707-8097300
    14 https://doi.org/10.1051/jphys:01980004106057900
    15 https://doi.org/10.1051/jphyslet:0197500360305500
    16 https://doi.org/10.1051/jphyslet:01978003909012300
    17 https://doi.org/10.1063/1.438608
    18 https://doi.org/10.1063/1.439242
    19 https://doi.org/10.1063/1.440359
    20 https://doi.org/10.1088/0305-4470/13/3/002
    21 https://doi.org/10.1088/0305-4470/13/5/038
    22 https://doi.org/10.1103/physrevb.15.5317
    23 https://doi.org/10.1103/physrevb.18.5099
    24 https://doi.org/10.1103/physrevb.19.2749
    25 https://doi.org/10.1103/physrevb.19.4584
    26 https://doi.org/10.1103/physrevb.20.2077
    27 https://doi.org/10.1103/physrevb.21.1223
    28 https://doi.org/10.1103/physrevb.21.5540
    29 https://doi.org/10.1103/physrevd.8.434
    30 https://doi.org/10.1103/physrevlett.37.461
    31 https://doi.org/10.1103/physrevlett.39.95
    32 https://doi.org/10.1103/physrevlett.40.1605
    33 https://doi.org/10.1103/physrevlett.42.859
    34 https://doi.org/10.1103/physrevlett.43.177
    35 https://doi.org/10.1103/physrevlett.43.799
    36 https://doi.org/10.1103/revmodphys.46.597
    37 https://doi.org/10.1143/jpsj.47.683
    38 schema:datePublished 1981-12
    39 schema:datePublishedReg 1981-12-01
    40 schema:description A renormalization group for polymer chains with hard-core interaction is considered, where a chain ofN0 links of lengthl0 and hard-core diameterh0 is mapped onto a chain ofN1=N0/s links of lengthl1 and hard-core diameterh1. The lengthl1 is defined in terms of suitable interior distances of the original chain, andh1 is found from the condition that the end-to-end distance is left invariant. This renormalization group procedure is carried through by various Monte-Carlo methods (simple sampling is found advantageous for short enough chains or high dimensionalities, while dynamic methods involving “kinkjumps” or “reptation” are used else). Particular attention is paid to investigate systematic errors of the method by checking the dependence of the results on bothN0 ands. It is found that for dimensionalitiesd=2, 3 only the nontrivial fixed-point is stable, where upon iteration the ratio δk=hk/lk tends to nonzero fixed-point value δ*, while ford=4,5 the method converges to the gaussian fixed point with δ*=0. Taking both statistical and systematic errors into account, we estimate the exponentv asv=0.74±0.01 (d=2) andv =0.59±0.01 (d=3). The results are consistent with the expected crossover exponents ϕ =1/2 (d=3) and ϕ=1 (d=2), respectively.
    41 schema:genre research_article
    42 schema:inLanguage en
    43 schema:isAccessibleForFree false
    44 schema:isPartOf N187cc3b48f2b4cdd8252ee3bc8ecc8cc
    45 N9a7062f55f7749ad939a43870c9818fa
    46 sg:journal.1285002
    47 schema:name Monte Carlo renormalization of hard sphere polymer chains in two to five dimensions
    48 schema:pagination 331-341
    49 schema:productId N3925684fa6074401a54f2c73496ff840
    50 N430eb1770ab741a59c52133a176eca99
    51 N48524133b1eb4c489574433d2cd375aa
    52 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041787225
    53 https://doi.org/10.1007/bf01292850
    54 schema:sdDatePublished 2019-04-11T13:30
    55 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    56 schema:sdPublisher Ndad0643583ab4571bd987c6fc66c68fb
    57 schema:url http://link.springer.com/10.1007/BF01292850
    58 sgo:license sg:explorer/license/
    59 sgo:sdDataset articles
    60 rdf:type schema:ScholarlyArticle
    61 N0281afa1c6ef4b7a90b4f53664a3ad7f rdf:first N32d750890a914dfcbca69995c0e65f33
    62 rdf:rest N5625fe49a8a547aa9ec67164238deda7
    63 N05a15f42af824bdfb68e43ca31fbbc6e schema:name Institut für Festkörperforschung der Kernforschungsanlage, Postfach 1913, D-5170, Jülich, Federal Republic of Germany
    64 rdf:type schema:Organization
    65 N187cc3b48f2b4cdd8252ee3bc8ecc8cc schema:issueNumber 4
    66 rdf:type schema:PublicationIssue
    67 N32d750890a914dfcbca69995c0e65f33 schema:affiliation Nedd45980ac4746e0a6146b69a4c127d5
    68 schema:familyName Kremer
    69 schema:givenName K.
    70 rdf:type schema:Person
    71 N3925684fa6074401a54f2c73496ff840 schema:name doi
    72 schema:value 10.1007/bf01292850
    73 rdf:type schema:PropertyValue
    74 N3d2f70a865634e06ae88573cc0116cd8 schema:affiliation N05a15f42af824bdfb68e43ca31fbbc6e
    75 schema:familyName Baumgärtner
    76 schema:givenName A.
    77 rdf:type schema:Person
    78 N430eb1770ab741a59c52133a176eca99 schema:name readcube_id
    79 schema:value c70e72357394b73c68dde3619555c06e762bbf272a69a33ce0ca250543dcfcb3
    80 rdf:type schema:PropertyValue
    81 N48524133b1eb4c489574433d2cd375aa schema:name dimensions_id
    82 schema:value pub.1041787225
    83 rdf:type schema:PropertyValue
    84 N4cbb7ac790d9431c9a514da71f6cf52d schema:name Institut für Festkörperforschung der Kernforschungsanlage, Postfach 1913, D-5170, Jülich, Federal Republic of Germany
    85 rdf:type schema:Organization
    86 N5625fe49a8a547aa9ec67164238deda7 rdf:first N3d2f70a865634e06ae88573cc0116cd8
    87 rdf:rest N993b85e563a7464c888abcbc52ed6d54
    88 N6eb16686c3304aacb018e88c6eeb1446 schema:affiliation N4cbb7ac790d9431c9a514da71f6cf52d
    89 schema:familyName Binder
    90 schema:givenName K.
    91 rdf:type schema:Person
    92 N993b85e563a7464c888abcbc52ed6d54 rdf:first N6eb16686c3304aacb018e88c6eeb1446
    93 rdf:rest rdf:nil
    94 N9a7062f55f7749ad939a43870c9818fa schema:volumeNumber 40
    95 rdf:type schema:PublicationVolume
    96 Ndad0643583ab4571bd987c6fc66c68fb schema:name Springer Nature - SN SciGraph project
    97 rdf:type schema:Organization
    98 Nedd45980ac4746e0a6146b69a4c127d5 schema:name Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, D-5000, Federal Republic of Germany
    99 rdf:type schema:Organization
    100 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    101 schema:name Mathematical Sciences
    102 rdf:type schema:DefinedTerm
    103 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
    104 schema:name Statistics
    105 rdf:type schema:DefinedTerm
    106 sg:journal.1285002 schema:issn 0722-3277
    107 1431-584X
    108 schema:name Zeitschrift für Physik B Condensed Matter
    109 rdf:type schema:Periodical
    110 sg:pub.10.1007/bf01317255 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047672573
    111 https://doi.org/10.1007/bf01317255
    112 rdf:type schema:CreativeWork
    113 sg:pub.10.1007/bf02747277 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017467626
    114 https://doi.org/10.1007/bf02747277
    115 rdf:type schema:CreativeWork
    116 https://doi.org/10.1002/9780470143605.ch13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026673982
    117 rdf:type schema:CreativeWork
    118 https://doi.org/10.1016/0032-3861(74)90121-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049077422
    119 rdf:type schema:CreativeWork
    120 https://doi.org/10.1016/0032-3861(76)90096-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035183760
    121 rdf:type schema:CreativeWork
    122 https://doi.org/10.1016/0370-1573(76)90028-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052856063
    123 rdf:type schema:CreativeWork
    124 https://doi.org/10.1016/0375-9601(73)90799-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013227348
    125 rdf:type schema:CreativeWork
    126 https://doi.org/10.1016/0375-9601(75)90031-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007853465
    127 rdf:type schema:CreativeWork
    128 https://doi.org/10.1021/ma60032a021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056200061
    129 rdf:type schema:CreativeWork
    130 https://doi.org/10.1051/jphys:01976003707-8097300 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056989680
    131 rdf:type schema:CreativeWork
    132 https://doi.org/10.1051/jphys:01980004106057900 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056990310
    133 rdf:type schema:CreativeWork
    134 https://doi.org/10.1051/jphyslet:0197500360305500 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057008558
    135 rdf:type schema:CreativeWork
    136 https://doi.org/10.1051/jphyslet:01978003909012300 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057008926
    137 rdf:type schema:CreativeWork
    138 https://doi.org/10.1063/1.438608 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058016637
    139 rdf:type schema:CreativeWork
    140 https://doi.org/10.1063/1.439242 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058017271
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.1063/1.440359 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058018388
    143 rdf:type schema:CreativeWork
    144 https://doi.org/10.1088/0305-4470/13/3/002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059065143
    145 rdf:type schema:CreativeWork
    146 https://doi.org/10.1088/0305-4470/13/5/038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059065263
    147 rdf:type schema:CreativeWork
    148 https://doi.org/10.1103/physrevb.15.5317 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060522550
    149 rdf:type schema:CreativeWork
    150 https://doi.org/10.1103/physrevb.18.5099 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060524510
    151 rdf:type schema:CreativeWork
    152 https://doi.org/10.1103/physrevb.19.2749 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060525053
    153 rdf:type schema:CreativeWork
    154 https://doi.org/10.1103/physrevb.19.4584 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060525289
    155 rdf:type schema:CreativeWork
    156 https://doi.org/10.1103/physrevb.20.2077 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060526386
    157 rdf:type schema:CreativeWork
    158 https://doi.org/10.1103/physrevb.21.1223 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060526907
    159 rdf:type schema:CreativeWork
    160 https://doi.org/10.1103/physrevb.21.5540 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060527452
    161 rdf:type schema:CreativeWork
    162 https://doi.org/10.1103/physrevd.8.434 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060707818
    163 rdf:type schema:CreativeWork
    164 https://doi.org/10.1103/physrevlett.37.461 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060780902
    165 rdf:type schema:CreativeWork
    166 https://doi.org/10.1103/physrevlett.39.95 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060782102
    167 rdf:type schema:CreativeWork
    168 https://doi.org/10.1103/physrevlett.40.1605 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060782549
    169 rdf:type schema:CreativeWork
    170 https://doi.org/10.1103/physrevlett.42.859 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060783971
    171 rdf:type schema:CreativeWork
    172 https://doi.org/10.1103/physrevlett.43.177 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060784285
    173 rdf:type schema:CreativeWork
    174 https://doi.org/10.1103/physrevlett.43.799 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060784574
    175 rdf:type schema:CreativeWork
    176 https://doi.org/10.1103/revmodphys.46.597 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060838772
    177 rdf:type schema:CreativeWork
    178 https://doi.org/10.1143/jpsj.47.683 schema:sameAs https://app.dimensions.ai/details/publication/pub.1063104684
    179 rdf:type schema:CreativeWork
     




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


    ...