Téléchargez le livre : Critical Phenomena in Loop Models

Critical Phenomena in Loop Models



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Éditeur :

Springer


Collection :

Springer Theses

Paru le : 2014-10-01



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Description

When close to a continuous phase transition, many physical systems can usefully be mapped to ensembles of fluctuating loops, which might represent for example polymer rings, or line defects in a lattice magnet, or worldlines of quantum particles.
'Loop models' provide a unifying geometric language for problems of this kind.
This thesis aims to extend this language in two directions. The first part of the thesis tackles ensembles of loops in three dimensions, and relates them to the statistical properties of line defects in disordered media and to critical phenomena in two-dimensional quantum magnets. The second part concerns two-dimensional loop models that lie outside the standard paradigms: new types of critical point are found, and new results given for the universal properties of polymer collapse transitions in two dimensions.
All of these problems are shown to be related to sigma models on complex or real projective space, CP^{n-1} or RP^{n-1} -- in some cases in a 'replica' limit -- and this thesis is also an in-depth investigation of critical behaviour in these field theories.
Pages
141 pages
Collection
Springer Theses
Parution
2014-10-01
Marque
Springer
EAN papier
9783319064062
EAN EPUB
9783319064079
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
2417 Ko
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Prix
94,94 €

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