Critical Phenomena in Loop Models is popular PDF and ePub book, written by Adam Nahum in 2014-10-01, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Critical Phenomena in Loop Models can be Read Online from any device for your convenience.
Critical Phenomena in Loop Models Book PDF Summary
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.
Detail Book of Critical Phenomena in Loop Models PDF
- Author : Adam Nahum
- Release : 01 October 2014
- Publisher : Springer
- ISBN : 9783319064079
- Genre : Science
- Total Page : 141 pages
- Language : English
- PDF File Size : 8,7 Mb
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