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The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

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Title: The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
Description: The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
Authors: E. J. Janse van Rensburg
Resource Type: eBook.
Subjects: Composite materials--Mathematical models, Polymers, Statistical mechanics, Homogenization (Differential equations)
Categories: MATHEMATICS / Probability & Statistics / General
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-epub
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1200841
RelevancyScore: 1064
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1063.91076660156
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  Data: The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
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  Label: Description
  Group: Ab
  Data: The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
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  Data: <searchLink fieldCode="DE" term="%22Composite+materials--Mathematical+models%22">Composite materials--Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Polymers%22">Polymers</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+mechanics%22">Statistical mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Homogenization+%28Differential+equations%29%22">Homogenization (Differential equations)</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 530.13
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Composite materials--Mathematical models
        Type: general
      – SubjectFull: Polymers
        Type: general
      – SubjectFull: Statistical mechanics
        Type: general
      – SubjectFull: Homogenization (Differential equations)
        Type: general
    Titles:
      – TitleFull: The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
        Type: main
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      – PersonEntity:
          Name:
            NameFull: E. J. Janse van Rensburg
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            NameFull: E. J. Janse van Rensburg
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2015
            – D: 01
              M: 09
              Type: profile
              Y: 2016
          Identifiers:
            – Type: isbn-print
              Value: 9780191644672
            – Type: isbn-print
              Value: 9780199666577
            – Type: isbn-electronic
              Value: 9780191644665
          Titles:
            – TitleFull: The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
              Type: main
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