Phase diagrams of Ising models on Husimi trees II. Pair Wand multisite interaction systems View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1992-06

AUTHORS

James L. Monroe

ABSTRACT

We continue an earlier study of multisite interaction Ising spin models on Husimi trees. In particular, attention is given to systems with both a nearestneighbor pair interaction and three-site interactions. We use our calculations of the phase diagrams of the systems on Husimi trees as approximations of systems with the same interactions but on a regular lattice, e.g., the triangle lattice. Specific models where exact results are available are used as test cases. All of the work involves computation of quantities, such as the magnetization, by iterative processes. Hence we are dealing with a discrete map and for certain values of the interaction strengths we obtain for the magnetization diagram results involving period doubling, chaos, period-three windows, etc., all phenomena of recent interest in connection with dynamical systems and now associated with certain Ising spin systems. More... »

PAGES

1185-1200

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01049014

DOI

http://dx.doi.org/10.1007/bf01049014

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1011078957


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Physics, Beaver Campus, Penn State University, 15061, Monaca, Pennsylvania", 
          "id": "http://www.grid.ac/institutes/grid.29857.31", 
          "name": [
            "Department of Physics, Beaver Campus, Penn State University, 15061, Monaca, Pennsylvania"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Monroe", 
        "givenName": "James L.", 
        "id": "sg:person.013205633427.19", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013205633427.19"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01011085", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050111554", 
          "https://doi.org/10.1007/bf01011085"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01329860", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040453460", 
          "https://doi.org/10.1007/bf01329860"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01011736", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037246808", 
          "https://doi.org/10.1007/bf01011736"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1992-06", 
    "datePublishedReg": "1992-06-01", 
    "description": "We continue an earlier study of multisite interaction Ising spin models on Husimi trees. In particular, attention is given to systems with both a nearestneighbor pair interaction and three-site interactions. We use our calculations of the phase diagrams of the systems on Husimi trees as approximations of systems with the same interactions but on a regular lattice, e.g., the triangle lattice. Specific models where exact results are available are used as test cases. All of the work involves computation of quantities, such as the magnetization, by iterative processes. Hence we are dealing with a discrete map and for certain values of the interaction strengths we obtain for the magnetization diagram results involving period doubling, chaos, period-three windows, etc., all phenomena of recent interest in connection with dynamical systems and now associated with certain Ising spin systems.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/bf01049014", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1040979", 
        "issn": [
          "0022-4715", 
          "1572-9613"
        ], 
        "name": "Journal of Statistical Physics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5-6", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "67"
      }
    ], 
    "keywords": [
      "approximation of systems", 
      "computation of quantities", 
      "dynamical systems", 
      "spin model", 
      "Husimi tree", 
      "exact results", 
      "discrete maps", 
      "Ising spin system", 
      "Ising model", 
      "regular lattice", 
      "triangle lattice", 
      "specific model", 
      "test cases", 
      "iterative process", 
      "spin systems", 
      "trees II", 
      "three-site interactions", 
      "approximation", 
      "certain value", 
      "chaos", 
      "model", 
      "system", 
      "lattice", 
      "computation", 
      "diagram results", 
      "recent interest", 
      "phase diagram", 
      "diagram", 
      "results", 
      "maps", 
      "interaction strength", 
      "connection", 
      "interaction system", 
      "trees", 
      "pair interactions", 
      "calculations", 
      "cases", 
      "work", 
      "quantity", 
      "phenomenon", 
      "interest", 
      "earlier studies", 
      "interaction", 
      "attention", 
      "same interaction", 
      "process", 
      "values", 
      "window", 
      "study", 
      "magnetization", 
      "strength", 
      "period", 
      "multisite interactions", 
      "nearestneighbor pair interaction", 
      "magnetization diagram results", 
      "certain Ising spin systems", 
      "Husimi trees II", 
      "Wand multisite interaction systems", 
      "multisite interaction systems"
    ], 
    "name": "Phase diagrams of Ising models on Husimi trees II. Pair Wand multisite interaction systems", 
    "pagination": "1185-1200", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1011078957"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01049014"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01049014", 
      "https://app.dimensions.ai/details/publication/pub.1011078957"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-01-01T18:05", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_220.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/bf01049014"
  }
]
 

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/bf01049014'

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/bf01049014'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01049014'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01049014'


 

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

129 TRIPLES      22 PREDICATES      88 URIs      77 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01049014 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N0b1d35d0644b4ab3a529ecc859b5ccff
4 schema:citation sg:pub.10.1007/bf01011085
5 sg:pub.10.1007/bf01011736
6 sg:pub.10.1007/bf01329860
7 schema:datePublished 1992-06
8 schema:datePublishedReg 1992-06-01
9 schema:description We continue an earlier study of multisite interaction Ising spin models on Husimi trees. In particular, attention is given to systems with both a nearestneighbor pair interaction and three-site interactions. We use our calculations of the phase diagrams of the systems on Husimi trees as approximations of systems with the same interactions but on a regular lattice, e.g., the triangle lattice. Specific models where exact results are available are used as test cases. All of the work involves computation of quantities, such as the magnetization, by iterative processes. Hence we are dealing with a discrete map and for certain values of the interaction strengths we obtain for the magnetization diagram results involving period doubling, chaos, period-three windows, etc., all phenomena of recent interest in connection with dynamical systems and now associated with certain Ising spin systems.
10 schema:genre article
11 schema:inLanguage en
12 schema:isAccessibleForFree false
13 schema:isPartOf N35db8361efd74cbcac759ab4771b9add
14 Nb8c16438dfd14205857e5c62dbd02056
15 sg:journal.1040979
16 schema:keywords Husimi tree
17 Husimi trees II
18 Ising model
19 Ising spin system
20 Wand multisite interaction systems
21 approximation
22 approximation of systems
23 attention
24 calculations
25 cases
26 certain Ising spin systems
27 certain value
28 chaos
29 computation
30 computation of quantities
31 connection
32 diagram
33 diagram results
34 discrete maps
35 dynamical systems
36 earlier studies
37 exact results
38 interaction
39 interaction strength
40 interaction system
41 interest
42 iterative process
43 lattice
44 magnetization
45 magnetization diagram results
46 maps
47 model
48 multisite interaction systems
49 multisite interactions
50 nearestneighbor pair interaction
51 pair interactions
52 period
53 phase diagram
54 phenomenon
55 process
56 quantity
57 recent interest
58 regular lattice
59 results
60 same interaction
61 specific model
62 spin model
63 spin systems
64 strength
65 study
66 system
67 test cases
68 three-site interactions
69 trees
70 trees II
71 triangle lattice
72 values
73 window
74 work
75 schema:name Phase diagrams of Ising models on Husimi trees II. Pair Wand multisite interaction systems
76 schema:pagination 1185-1200
77 schema:productId N145b69a41cf84940971d538d354f1b49
78 Nbb2902bd43ef46c491483bb5afa4be20
79 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011078957
80 https://doi.org/10.1007/bf01049014
81 schema:sdDatePublished 2022-01-01T18:05
82 schema:sdLicense https://scigraph.springernature.com/explorer/license/
83 schema:sdPublisher Naa8da901f4774857882fae3766969562
84 schema:url https://doi.org/10.1007/bf01049014
85 sgo:license sg:explorer/license/
86 sgo:sdDataset articles
87 rdf:type schema:ScholarlyArticle
88 N0b1d35d0644b4ab3a529ecc859b5ccff rdf:first sg:person.013205633427.19
89 rdf:rest rdf:nil
90 N145b69a41cf84940971d538d354f1b49 schema:name dimensions_id
91 schema:value pub.1011078957
92 rdf:type schema:PropertyValue
93 N35db8361efd74cbcac759ab4771b9add schema:issueNumber 5-6
94 rdf:type schema:PublicationIssue
95 Naa8da901f4774857882fae3766969562 schema:name Springer Nature - SN SciGraph project
96 rdf:type schema:Organization
97 Nb8c16438dfd14205857e5c62dbd02056 schema:volumeNumber 67
98 rdf:type schema:PublicationVolume
99 Nbb2902bd43ef46c491483bb5afa4be20 schema:name doi
100 schema:value 10.1007/bf01049014
101 rdf:type schema:PropertyValue
102 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
103 schema:name Mathematical Sciences
104 rdf:type schema:DefinedTerm
105 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
106 schema:name Pure Mathematics
107 rdf:type schema:DefinedTerm
108 sg:journal.1040979 schema:issn 0022-4715
109 1572-9613
110 schema:name Journal of Statistical Physics
111 schema:publisher Springer Nature
112 rdf:type schema:Periodical
113 sg:person.013205633427.19 schema:affiliation grid-institutes:grid.29857.31
114 schema:familyName Monroe
115 schema:givenName James L.
116 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013205633427.19
117 rdf:type schema:Person
118 sg:pub.10.1007/bf01011085 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050111554
119 https://doi.org/10.1007/bf01011085
120 rdf:type schema:CreativeWork
121 sg:pub.10.1007/bf01011736 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037246808
122 https://doi.org/10.1007/bf01011736
123 rdf:type schema:CreativeWork
124 sg:pub.10.1007/bf01329860 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040453460
125 https://doi.org/10.1007/bf01329860
126 rdf:type schema:CreativeWork
127 grid-institutes:grid.29857.31 schema:alternateName Department of Physics, Beaver Campus, Penn State University, 15061, Monaca, Pennsylvania
128 schema:name Department of Physics, Beaver Campus, Penn State University, 15061, Monaca, Pennsylvania
129 rdf:type schema:Organization
 




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


...