Critical Phenomena in Loop Models
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...
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2016
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oai:scholar.dlu.edu.vn:DLU123456789-596662023-11-11T06:47:28Z Critical Phenomena in Loop Models Nahum, Adam Spatial systems Loop spaces Critical phenomena 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. 2016-02-23T03:07:00Z 2016-02-23T03:07:00Z 2015 Book 978-3-319-06407-9 978-3-319-06406-2 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59666 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Spatial systems Loop spaces Critical phenomena |
| spellingShingle |
Spatial systems Loop spaces Critical phenomena Nahum, Adam Critical Phenomena in Loop Models |
| 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. |
| format |
Book |
| author |
Nahum, Adam |
| author_facet |
Nahum, Adam |
| author_sort |
Nahum, Adam |
| title |
Critical Phenomena in Loop Models |
| title_short |
Critical Phenomena in Loop Models |
| title_full |
Critical Phenomena in Loop Models |
| title_fullStr |
Critical Phenomena in Loop Models |
| title_full_unstemmed |
Critical Phenomena in Loop Models |
| title_sort |
critical phenomena in loop models |
| publisher |
Springer |
| publishDate |
2016 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59666 |
| _version_ |
1819826159985098752 |