Two-dimensional polymeric liquids and polymer stars: learning from conflicting theories

We discuss systems for which two carefully derived, yet conflicting, theories coexisted. Dense polymers in two dimensions and star-shaped polymers in the θ-regime are considered. In both cases the two proposed theories are in a sense exact, but turn out to satisfy different crossing rules (for the 2...

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Bibliographic Details
Published in:Journal of statistical mechanics 2014-04, Vol.2014 (4), p.P04024-18
Main Authors: Johner, A, Thalmann, F, Baschnagel, J, Meyer, H, Obukhov, S, Wittmer, J P
Format: Article
Language:English
Subjects:
Learning
Liquids
Mathematics
Stars
Statistical mechanics
Statistics
Two dimensional
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Summary:We discuss systems for which two carefully derived, yet conflicting, theories coexisted. Dense polymers in two dimensions and star-shaped polymers in the θ-regime are considered. In both cases the two proposed theories are in a sense exact, but turn out to satisfy different crossing rules (for the 2d polymer) or to correspond to different orders of limits. Finally, both theories prove very useful, albeit for different subclasses of physical systems.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2014/04/P04024