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A Study of the Correlation Length near a First-order Phase Transition: the Three-dimensional Three-state Potts Model
| Content Provider | Semantic Scholar |
|---|---|
| Author | Karsch, Frithjof |
| Copyright Year | 2002 |
| Abstract | A high statistics study of the 3-d three-state Potts model on lattices of size L 3, with L ranging from 12 to 48, confirms the first-order nature of the Z(3) symmetry breaking phase transition in this model. We investigate the behaviour of spin spin correlations in the critical region, comment on various methods to extract the correlation lengths and point out the resulting ambiguities on finite lattices. Our results indicate a finite correlation length at tic. However, a careful analysis of the correlation functions is necessary to disentangle the inverse mass gap from the tunnelling correlation length which we found to diverge as L at fl~ although the transition is clearly first order. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://pub.uni-bielefeld.de/download/1784392/2314428 |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Behavioral tic First-order predicate Phase Transition Potts model Symmetry breaking Three-state logic |
| Content Type | Text |
| Resource Type | Article |
