Haldane exclusion statistics and the Boltzmann equation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1996-03

AUTHORS

R. K. Bhaduri, R. S. Bhalerao, M. V. N. Murthy

ABSTRACT

We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the “golden rule” factor for quantum transitions. As an application of this, we calculate the density response function of a one-dimensional electron gas in a periodic potential, assuming that the particle-hole excitations are quasiparticles obeying the new statistics. We also calculate the relaxation time of a nuclear spin in a metal using the modified golden rule. More... »

PAGES

1659-1668

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02183398

DOI

http://dx.doi.org/10.1007/bf02183398

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004780257


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/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0202", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Physics and Astronomy, McMaster University, L8S 4M1, Hamilton, Ontario, Canada", 
          "id": "http://www.grid.ac/institutes/grid.25073.33", 
          "name": [
            "Department of Physics and Astronomy, McMaster University, L8S 4M1, Hamilton, Ontario, Canada"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Bhaduri", 
        "givenName": "R. K.", 
        "id": "sg:person.010514561361.86", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010514561361.86"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Theoretical Physics Group, Tata Institute of Fundamental Research, Colaba, 400 005, Bombay, India", 
          "id": "http://www.grid.ac/institutes/grid.22401.35", 
          "name": [
            "Theoretical Physics Group, Tata Institute of Fundamental Research, Colaba, 400 005, Bombay, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Bhalerao", 
        "givenName": "R. S.", 
        "id": "sg:person.010652625744.94", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010652625744.94"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Institute of Mathematical Sciences, Taramani, 600 113, Madras, India", 
          "id": "http://www.grid.ac/institutes/grid.462414.1", 
          "name": [
            "Institute of Mathematical Sciences, Taramani, 600 113, Madras, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Murthy", 
        "givenName": "M. V. N.", 
        "id": "sg:person.013454005472.30", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013454005472.30"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/978-3-642-83179-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035640930", 
          "https://doi.org/10.1007/978-3-642-83179-9"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1996-03", 
    "datePublishedReg": "1996-03-01", 
    "description": "We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the \u201cgolden rule\u201d factor for quantum transitions. As an application of this, we calculate the density response function of a one-dimensional electron gas in a periodic potential, assuming that the particle-hole excitations are quasiparticles obeying the new statistics. We also calculate the relaxation time of a nuclear spin in a metal using the modified golden rule.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/bf02183398", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "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": "82"
      }
    ], 
    "keywords": [
      "Haldane exclusion statistics", 
      "one-dimensional electron gas", 
      "particle-hole excitations", 
      "golden rule", 
      "density response function", 
      "exclusion statistics", 
      "quantum transitions", 
      "nuclear spins", 
      "electron gas", 
      "collision term", 
      "periodic potential", 
      "Boltzmann equation", 
      "quasiparticles", 
      "relaxation time", 
      "equilibrium situation", 
      "response function", 
      "transport equation", 
      "spin", 
      "excitation", 
      "new statistic", 
      "Boltzmann", 
      "equations", 
      "transition", 
      "gas", 
      "statistics", 
      "metals", 
      "applications", 
      "potential", 
      "rules", 
      "function", 
      "terms", 
      "time", 
      "situation", 
      "factors"
    ], 
    "name": "Haldane exclusion statistics and the Boltzmann equation", 
    "pagination": "1659-1668", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1004780257"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02183398"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02183398", 
      "https://app.dimensions.ai/details/publication/pub.1004780257"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-06-01T22:01", 
    "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_278.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/bf02183398"
  }
]
 

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/bf02183398'

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/bf02183398'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02183398'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02183398'


 

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

116 TRIPLES      22 PREDICATES      61 URIs      52 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02183398 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author Nd7ce300d5d404530b4ff61562a8ded3e
4 schema:citation sg:pub.10.1007/978-3-642-83179-9
5 schema:datePublished 1996-03
6 schema:datePublishedReg 1996-03-01
7 schema:description We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the “golden rule” factor for quantum transitions. As an application of this, we calculate the density response function of a one-dimensional electron gas in a periodic potential, assuming that the particle-hole excitations are quasiparticles obeying the new statistics. We also calculate the relaxation time of a nuclear spin in a metal using the modified golden rule.
8 schema:genre article
9 schema:inLanguage en
10 schema:isAccessibleForFree true
11 schema:isPartOf N41bfc1e4c7d349d69767bf6f39e615f7
12 N6127162961434eb496049498c420ef5d
13 sg:journal.1040979
14 schema:keywords Boltzmann
15 Boltzmann equation
16 Haldane exclusion statistics
17 applications
18 collision term
19 density response function
20 electron gas
21 equations
22 equilibrium situation
23 excitation
24 exclusion statistics
25 factors
26 function
27 gas
28 golden rule
29 metals
30 new statistic
31 nuclear spins
32 one-dimensional electron gas
33 particle-hole excitations
34 periodic potential
35 potential
36 quantum transitions
37 quasiparticles
38 relaxation time
39 response function
40 rules
41 situation
42 spin
43 statistics
44 terms
45 time
46 transition
47 transport equation
48 schema:name Haldane exclusion statistics and the Boltzmann equation
49 schema:pagination 1659-1668
50 schema:productId N6275c2d5fe464999bbdd087dd737e6bd
51 Ncb64442469d9400fb98a18c77e1cf813
52 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004780257
53 https://doi.org/10.1007/bf02183398
54 schema:sdDatePublished 2022-06-01T22:01
55 schema:sdLicense https://scigraph.springernature.com/explorer/license/
56 schema:sdPublisher Ndd1df59cd88644ffa8f533d5a3c4e687
57 schema:url https://doi.org/10.1007/bf02183398
58 sgo:license sg:explorer/license/
59 sgo:sdDataset articles
60 rdf:type schema:ScholarlyArticle
61 N18c76b432e444f63b14fd95c7abee964 rdf:first sg:person.010652625744.94
62 rdf:rest Ne8051a4bf0a347e6867fd9ef0de94b16
63 N41bfc1e4c7d349d69767bf6f39e615f7 schema:volumeNumber 82
64 rdf:type schema:PublicationVolume
65 N6127162961434eb496049498c420ef5d schema:issueNumber 5-6
66 rdf:type schema:PublicationIssue
67 N6275c2d5fe464999bbdd087dd737e6bd schema:name doi
68 schema:value 10.1007/bf02183398
69 rdf:type schema:PropertyValue
70 Ncb64442469d9400fb98a18c77e1cf813 schema:name dimensions_id
71 schema:value pub.1004780257
72 rdf:type schema:PropertyValue
73 Nd7ce300d5d404530b4ff61562a8ded3e rdf:first sg:person.010514561361.86
74 rdf:rest N18c76b432e444f63b14fd95c7abee964
75 Ndd1df59cd88644ffa8f533d5a3c4e687 schema:name Springer Nature - SN SciGraph project
76 rdf:type schema:Organization
77 Ne8051a4bf0a347e6867fd9ef0de94b16 rdf:first sg:person.013454005472.30
78 rdf:rest rdf:nil
79 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
80 schema:name Physical Sciences
81 rdf:type schema:DefinedTerm
82 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
83 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
84 rdf:type schema:DefinedTerm
85 sg:journal.1040979 schema:issn 0022-4715
86 1572-9613
87 schema:name Journal of Statistical Physics
88 schema:publisher Springer Nature
89 rdf:type schema:Periodical
90 sg:person.010514561361.86 schema:affiliation grid-institutes:grid.25073.33
91 schema:familyName Bhaduri
92 schema:givenName R. K.
93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010514561361.86
94 rdf:type schema:Person
95 sg:person.010652625744.94 schema:affiliation grid-institutes:grid.22401.35
96 schema:familyName Bhalerao
97 schema:givenName R. S.
98 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010652625744.94
99 rdf:type schema:Person
100 sg:person.013454005472.30 schema:affiliation grid-institutes:grid.462414.1
101 schema:familyName Murthy
102 schema:givenName M. V. N.
103 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013454005472.30
104 rdf:type schema:Person
105 sg:pub.10.1007/978-3-642-83179-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035640930
106 https://doi.org/10.1007/978-3-642-83179-9
107 rdf:type schema:CreativeWork
108 grid-institutes:grid.22401.35 schema:alternateName Theoretical Physics Group, Tata Institute of Fundamental Research, Colaba, 400 005, Bombay, India
109 schema:name Theoretical Physics Group, Tata Institute of Fundamental Research, Colaba, 400 005, Bombay, India
110 rdf:type schema:Organization
111 grid-institutes:grid.25073.33 schema:alternateName Department of Physics and Astronomy, McMaster University, L8S 4M1, Hamilton, Ontario, Canada
112 schema:name Department of Physics and Astronomy, McMaster University, L8S 4M1, Hamilton, Ontario, Canada
113 rdf:type schema:Organization
114 grid-institutes:grid.462414.1 schema:alternateName Institute of Mathematical Sciences, Taramani, 600 113, Madras, India
115 schema:name Institute of Mathematical Sciences, Taramani, 600 113, Madras, India
116 rdf:type schema:Organization
 




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


...