Phase transitions in two-dimensional colloidal systems

von Grünberg, Hans Hennig; Keim, Peter; Maret, Georg

Phase transitions in two-dimensional colloidal systems

Dateien

Keim_Phase.pdfGröße: 16.54 MBDownloads: 1586

Datum

2007

Autor:innen

von Grünberg, Hans Hennig

Keim, Peter

Maret, Georg

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-168986

Link zur Lizenz

Urheberrechtlich geschützt

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Physik

Publikationstyp

Beitrag zu einem Sammelband

Publikationsstatus

Published

Erschienen in

GOMPPER, Gerhard, ed. and others. Colloidal order : entropic and surface forces. Weinheim: WILEY-VCH, 2007, pp. 40-83. Soft matter. 3. ISBN 978-3-527-31370-9

Zusammenfassung

This chapter is an introduction to phase transitions in two-dimensional (2D) systems. In contrast to three dimensions (3D), microscopic theories of melting exist in 2D. The most well known of them was developed more than 30 years ago by Kosterlitz, Thouless, Halperin, Nelson and Young (KTHNY theory). This theory predicts the unbinding of topological defects to break the symmetry in two steps at two distinct temperatures. Dissociation of dislocation pairs first melts the crystal into a still orientationally ordered (hexatic) phase and, in the second step, dissociation of free dislocations causes the system to go over to an isotropic fluid. Colloidal systems are used to verify experimentally the predictions of KTHNY theory in detail as colloids provide the possibility to visualize the change in symmetry on an "atomic" level by simple video-microscopy. Elastic moduli like Young's modulus and Frank's constant are deduced from microscopic trajectories of colloids in order to quanify the softening of the 2D ensemble in the vicinity of the phase transitions.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

VON GRÜNBERG, Hans Hennig, Peter KEIM, Georg MARET, 2007. Phase transitions in two-dimensional colloidal systems. In: GOMPPER, Gerhard, ed. and others. Colloidal order : entropic and surface forces. Weinheim: WILEY-VCH, 2007, pp. 40-83. Soft matter. 3. ISBN 978-3-527-31370-9

BibTex

@incollection{vonGrunberg2007Phase-16898,
  year={2007},
  title={Phase transitions in two-dimensional colloidal systems},
  number={3},
  isbn={978-3-527-31370-9},
  publisher={WILEY-VCH},
  address={Weinheim},
  series={Soft matter},
  booktitle={Colloidal order : entropic and surface forces},
  pages={40--83},
  editor={Gompper, Gerhard},
  author={von Grünberg, Hans Hennig and Keim, Peter and Maret, Georg}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/16898">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-01-18T19:25:05Z</dcterms:available>
    <dc:rights>terms-of-use</dc:rights>
    <dc:contributor>von Grünberg, Hans Hennig</dc:contributor>
    <dcterms:abstract xml:lang="eng">This chapter is an introduction to phase transitions in two-dimensional (2D) systems. In contrast to three dimensions (3D), microscopic theories of melting exist in 2D. The most well known of them was developed more than 30 years ago by Kosterlitz, Thouless, Halperin, Nelson and Young (KTHNY theory). This theory predicts the unbinding of topological defects to break the symmetry in two steps at two distinct temperatures. Dissociation of dislocation pairs first melts the crystal into a still orientationally ordered (hexatic) phase and, in the second step, dissociation of free dislocations causes the system to go over to an isotropic fluid. Colloidal systems are used to verify experimentally the predictions of KTHNY theory in detail as colloids provide the possibility to visualize the change in symmetry on an "atomic" level by simple video-microscopy. Elastic moduli like Young's modulus and Frank's constant are deduced from microscopic trajectories of colloids in order to quanify the softening of the 2D ensemble in the vicinity of the phase transitions.</dcterms:abstract>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:contributor>Keim, Peter</dc:contributor>
    <dc:creator>Keim, Peter</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/16898"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:creator>von Grünberg, Hans Hennig</dc:creator>
    <dc:language>eng</dc:language>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/16898/2/Keim_Phase.pdf"/>
    <dcterms:title>Phase transitions in two-dimensional colloidal systems</dcterms:title>
    <dcterms:issued>2007</dcterms:issued>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-01-18T19:25:05Z</dc:date>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Maret, Georg</dc:creator>
    <dc:contributor>Maret, Georg</dc:contributor>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/16898/2/Keim_Phase.pdf"/>
    <dcterms:bibliographicCitation>First publ. in: Colloidal order : entropic and surface forces / Gompper, Gerhard ... (Eds.). - Weinheim : WILEY-VCH, 2007. - pp. 40-83. - (Soft matter ; 3). - ISBN 978-3-527-31370-9</dcterms:bibliographicCitation>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja